Computational and Mathematical Methods最新文献

{"title":"Neurocomputing Modeling of Hydromagnetic Nanofluid Flow With Chemical Reactions on Fluctuating Sheets","authors":"Muhammad Saad,&nbsp;Muhammad Sulaiman,&nbsp;Naveed Ahmad Khan,&nbsp;Ghaylen Laouini,&nbsp;Fahad Sameer Alshammari,&nbsp;Izaz Ur Rahman,&nbsp;Mustafa Ahmed Ali","doi":"10.1155/cmm4/2681643","DOIUrl":"https://doi.org/10.1155/cmm4/2681643","url":null,"abstract":"<p>Industrial applications involving coupled mass and heat transfer have motivated the present study of steady, two-dimensional magnetohydrodynamic (MHD) nanofluid flow on a linearly stretching sheet, with viscous dissipation, temperature-dependent viscosity, chemical reactions, and Soret effects. Traditional numerical solvers remain computationally intensive for extensive parametric analyses of these highly nonlinear multiphysics systems, particularly when fully coupled impacts are considered over stretching surfaces. This study addresses the gap by developing a novel hybrid machine learning framework, a feed-forward artificial neural network (FFANN) with 10 hidden neurons and log-sigmoid activation, optimized through the Levenberg–Marquardt backpropagation algorithm (FFANN-BLMA), trained on high-fidelity reference data. The governing partial differential equations are reduced to nonlinear ordinary differential equations via similarity transformation and solved accurately using the fourth-order Runge–Kutta method in Mathematica. The trained model demonstrates exceptional predictive performance, with absolute errors ranging from 10⁻⁶ to 10⁻⁹ across the dimensionless velocity <i>f</i>^′, temperature <i>g</i>, and concentration <i>h</i> profiles for nanoparticle volume fractions <i>ϑ</i> = 0.1, 0.2, and 0.3. Mean squared errors reach the order of 10⁻¹² to 10⁻¹⁴, and regression indices approach unity (<i>R</i> ≈ 1), confirming the robustness and accuracy of the FFANN-BLMA framework. Parametric experiments indicate that the amplification of <i>ϑ</i> suppresses the velocity profile while thickening the thermal and solutal boundary layers due to augmented effective thermal conductivity in addition to species diffusivity. The suggested FFANN-BLMA paradigm offers a computationally efficient, precise, and scalable alternative to the traditional numerical solvers that allows rapid design optimization and exploration of parameters in industrial thermal systems, such as electronics cooling, stretch-coating operations, and energy-efficient heat exchangers. This article highlights the transformative nature of machine learning in the development of modeling capabilities in applications of complex fluid dynamics and heat transfer.</p>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2026 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/cmm4/2681643","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147668479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modified Fast Inertial-Type Krasnosel’skii-Mann Iterative Scheme Involving Asymptotically Nonexpansive Mapping","authors":"Emmanuel Akaligwo,&nbsp;Micah Osilike,&nbsp;Noemí DeCastro-García,&nbsp;Angel Luis Muñoz Castañeda,&nbsp;David Escudero García","doi":"10.1155/cmm4/8819131","DOIUrl":"10.1155/cmm4/8819131","url":null,"abstract":"<p>It is our aim to propose a new iterative algorithm with an inertial term involving asymptotically nonexpansive mapping in the framework of Hilbert spaces. Let <i>T</i> : <i>H</i>⟶<i>H</i> be asymptotically nonexpansive mapping with <i>F</i>(<i>T</i>) ≠ ∅ ∅ and let <span></span><math></math> be defined by <i>x</i>_<i>n</i>+1 = <i>σ</i>_<i>n</i><i>z</i>_<i>n</i> + <i>b</i>_<i>n</i>(<i>T</i>^<i>n</i><i>σ</i>_<i>n</i><i>z</i>_<i>n</i> − <i>σ</i>_<i>n</i><i>z</i>_<i>n</i>) + <i>ε</i>_<i>n</i>, ∀<i>n</i> ≥ 1. <i>T</i> satisfies an additional mild condition, then the sequence <span></span><math></math> converges strongly to <span></span><math></math>. Our main contribution lies in establishing a strong convergence theorem for this method, without relying on the assumption that <span></span><math></math>. Our strong convergence theorems extend the corresponding convergence theorems in literature for nonexpansive maps to a more general class of asymptotically nonexpansive maps. Furthermore, our proposed algorithm is implemented by finding the fixed point of common solutions to a variational inequality problem and <i>η</i>−inverse-strongly monotone mapping in Hilbert space. Numerical illustrations showed some improvements over existing results in literature.</p>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2026 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/cmm4/8819131","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147668302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Mixed-Condorcet: An Advanced Method of Clustering for Mixed Data in Social Sciences","authors":"Marcela Romero-Jeldres,&nbsp;Luis Calle-Choque,&nbsp;Luis Firinguetti-Limone,&nbsp;Tarik Faouzi","doi":"10.1155/cmm4/4131138","DOIUrl":"10.1155/cmm4/4131138","url":null,"abstract":"<p>This paper provides a new clustering method for mixed data based on <i>α</i>-Condorcet, denoted mixed-Condorcet, by introducing a new Condorcet criterion. This criterion combines <i>α</i>-Condorcet and <i>k</i>-prototype criteria. Next, we give the within-cluster sum-of-squares expression for our new method. Furthermore, we compare mixed-Condorcet clustering with <i>k</i>-prototype and Kamila clustering. The comparison employs quality index (QI) and a within cluster sum of squares index. Our findings are illustrated using both simulated and real datasets.</p>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2026 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/cmm4/4131138","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147668303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Some New Fixed Point Results in Banach Space for Enriched Contraction in Terms of Krasnoselskii Iteration","authors":"Priya Goel,&nbsp;Dimple Singh,&nbsp;Ramandeep Behl,&nbsp;Cristina Amorós","doi":"10.1155/cmm4/3157189","DOIUrl":"https://doi.org/10.1155/cmm4/3157189","url":null,"abstract":"<p>In this article, several new fixed point results are established by employing the Krasnoselskii iteration method for a pair of self-mappings in Banach spaces. It explores the idea of enriched contraction, conditionally sequential absorbing mappings, and various types of continuity terms. Further, to support our main result, an example is provided which exhibits the existence and uniqueness of a common fixed point for a pair of self-mappings satisfying the condition of enriched contraction. As an application of the main theorem, we present an example within the context of integral calculus. The established results extend and unify many enduring results in the literature.</p>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2026 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/cmm4/3157189","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147565657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Some New Fixed Point Results in Banach Space for Enriched Contraction in Terms of Krasnoselskii Iteration","authors":"Priya Goel,&nbsp;Dimple Singh,&nbsp;Ramandeep Behl,&nbsp;Cristina Amorós","doi":"10.1155/cmm4/3157189","DOIUrl":"https://doi.org/10.1155/cmm4/3157189","url":null,"abstract":"<p>In this article, several new fixed point results are established by employing the Krasnoselskii iteration method for a pair of self-mappings in Banach spaces. It explores the idea of enriched contraction, conditionally sequential absorbing mappings, and various types of continuity terms. Further, to support our main result, an example is provided which exhibits the existence and uniqueness of a common fixed point for a pair of self-mappings satisfying the condition of enriched contraction. As an application of the main theorem, we present an example within the context of integral calculus. The established results extend and unify many enduring results in the literature.</p>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2026 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/cmm4/3157189","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147565575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Bifurcation and Stability of a Spatiotemporal Prey–Predator Model: A Computational Perspective","authors":"Muhammad Waqas Yasin,&nbsp;Ahmad Shafee,&nbsp;Muhammad Zafarullah Baber,&nbsp;Baboucarr Ceesay","doi":"10.1155/cmm4/6634314","DOIUrl":"https://doi.org/10.1155/cmm4/6634314","url":null,"abstract":"<p>In this research work, a ratio-dependent prey–predator system is investigated for bifurcation and stability analysis. The unique existence of the solution, boundedness, and positivity of the temporal model is derived. Stability analysis of positive steady states is analyzed. Stable and unstable regions for both equilibria are drawn in different parametric spaces. The parametric plots for the different initial conditions are drawn. The diffusive prey–predator model is analyzed for the bifurcation and stability regions. It is observed that the stability regions under the effect of diffusion are increased. To gain the numerical solution of the spatially extended prey–predator model, the operator splitting scheme is derived. The scheme preserves the positivity and other important features of the continuous model. Lastly, a test problem is considered to visualize the accuracy of our scheme. To show the physical behavior of the scheme, 3D and 2D plots are drawn, which clearly show the dynamics of the scheme. Theoretical results are supported by simulations.</p>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2026 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/cmm4/6634314","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147564396","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Bifurcation and Stability of a Spatiotemporal Prey–Predator Model: A Computational Perspective","authors":"Muhammad Waqas Yasin,&nbsp;Ahmad Shafee,&nbsp;Muhammad Zafarullah Baber,&nbsp;Baboucarr Ceesay","doi":"10.1155/cmm4/6634314","DOIUrl":"https://doi.org/10.1155/cmm4/6634314","url":null,"abstract":"<p>In this research work, a ratio-dependent prey–predator system is investigated for bifurcation and stability analysis. The unique existence of the solution, boundedness, and positivity of the temporal model is derived. Stability analysis of positive steady states is analyzed. Stable and unstable regions for both equilibria are drawn in different parametric spaces. The parametric plots for the different initial conditions are drawn. The diffusive prey–predator model is analyzed for the bifurcation and stability regions. It is observed that the stability regions under the effect of diffusion are increased. To gain the numerical solution of the spatially extended prey–predator model, the operator splitting scheme is derived. The scheme preserves the positivity and other important features of the continuous model. Lastly, a test problem is considered to visualize the accuracy of our scheme. To show the physical behavior of the scheme, 3D and 2D plots are drawn, which clearly show the dynamics of the scheme. Theoretical results are supported by simulations.</p>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2026 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/cmm4/6634314","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147564397","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Safe and Quickest Medical Image Encryption Using Logistic Map Derived S-Boxes and Galois Field","authors":"Mahwish Bano,&nbsp;Umair Habib,&nbsp;Jawaid Iqbal,&nbsp;Hassan Malik,&nbsp;Insaf Ullah","doi":"10.1155/cmm4/1171404","DOIUrl":"10.1155/cmm4/1171404","url":null,"abstract":"<p>The pseudorandomness, simplicity of use, and extreme sensitivity to even the slightest change in the initial value and handling parameters make chaotic maps attractive. The use of medical imaging to diagnose illnesses has grown in significance. These photographs need strong security measures because they are exchanged over public networks. Several techniques have been proposed to decode medical images, but they are not widely used due to their speed and complexity. Given these problems, we suggest a new method for quickly and efficiently encrypting medical images to safeguard private medical information from adversary assaults while it is being sent. This method uses the logistic map (LM), which is the main source of inspiration for this work. A simple polynomial that is not reducible to linear components is used to construct the substitution box (S-Box). When the LM is put into practice, many point pairs are produced. One of the coordinate values is selected from each point. The Galois field (GF) is then added to that value. The finite field inverse is applied if the value is not zero; otherwise, nothing is altered. Choose any value below 256 at random. Make an S-Box using these randomly selected values. Lastly, the Exclusive-NOR (XNOR) operation between the S-Box and picture matrices was used to encrypt the medical image. High-security tests are performed to verify the reliability of the proposed technique. According to performance studies, the medical picture encryption approach based on LM and S-Boxes offers extremely secure encryption in a short period.</p>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2026 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/cmm4/1171404","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147569763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Safe and Quickest Medical Image Encryption Using Logistic Map Derived S-Boxes and Galois Field","authors":"Mahwish Bano,&nbsp;Umair Habib,&nbsp;Jawaid Iqbal,&nbsp;Hassan Malik,&nbsp;Insaf Ullah","doi":"10.1155/cmm4/1171404","DOIUrl":"https://doi.org/10.1155/cmm4/1171404","url":null,"abstract":"<p>The pseudorandomness, simplicity of use, and extreme sensitivity to even the slightest change in the initial value and handling parameters make chaotic maps attractive. The use of medical imaging to diagnose illnesses has grown in significance. These photographs need strong security measures because they are exchanged over public networks. Several techniques have been proposed to decode medical images, but they are not widely used due to their speed and complexity. Given these problems, we suggest a new method for quickly and efficiently encrypting medical images to safeguard private medical information from adversary assaults while it is being sent. This method uses the logistic map (LM), which is the main source of inspiration for this work. A simple polynomial that is not reducible to linear components is used to construct the substitution box (S-Box). When the LM is put into practice, many point pairs are produced. One of the coordinate values is selected from each point. The Galois field (GF) is then added to that value. The finite field inverse is applied if the value is not zero; otherwise, nothing is altered. Choose any value below 256 at random. Make an S-Box using these randomly selected values. Lastly, the Exclusive-NOR (XNOR) operation between the S-Box and picture matrices was used to encrypt the medical image. High-security tests are performed to verify the reliability of the proposed technique. According to performance studies, the medical picture encryption approach based on LM and S-Boxes offers extremely secure encryption in a short period.</p>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2026 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/cmm4/1171404","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147569629","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Investigation of Fractional Behaviors for Physical Phenomena Equation and Ion-Acoustic Wave Equation via Generalized Bernoulli Equation Method","authors":"Weerachai Thadee,&nbsp;Pakakrong Tapparak,&nbsp;Panupong Vichitkunakorn,&nbsp;Anak Nongmanee,&nbsp;Sirasrete Phoosree","doi":"10.1155/cmm4/2045859","DOIUrl":"https://doi.org/10.1155/cmm4/2045859","url":null,"abstract":"<p>This research explores the fractional dynamics of two important nonlinear models: the (2 + 1)-dimensional breaking soliton equation, which arises in the description of various physical phenomena such as shallow-water waves, plasma oscillations, and optical solitons, and the (2 + 1)-dimensional Chaffee–Infante equation, which serves as a fundamental model for ion-acoustic wave propagation in plasma physics. By employing the generalized Bernoulli equation method in conjunction with Jumarie′s modified Riemann–Liouville derivative, both equations are transformed into nonlinear ordinary differential equations and solved analytically, facilitating the derivation of 13 unique families of accurate traveling wave solutions articulated in hyperbolic, exponential, and rational forms. The novelty of this work lies in broadening the analytical framework beyond previous methods that were confined to a narrow range of hyperbolic or trigonometric solutions. The present framework reveals a richer solution structure, including kink-type waves, periodic behaviors, rapidly decaying solitary pulses, and algebraically localized profiles. These new classes of solutions not only broaden the mathematical solution space but also provide deeper insights into the physical interpretation of fractional-order models in plasma physics and hydrodynamics. The results demonstrate that the generalized Bernoulli equation method is a versatile and efficient analytical tool that advances the study of fractional nonlinear evolution equations beyond the limitations of previous techniques.</p>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2025 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/cmm4/2045859","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145686470","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}