发布求助
文献互助 智能选刊 最新文献

Computational Methods for Differential Equations最新文献

筛选
英文 中文
Numerical Method for the Solution of Algebraic Fuzzy Complex Equations 代数模糊复方程的数值解法
IF 1.1
Computational Methods for Differential Equations Pub Date : 2021-01-18 DOI: 10.22034/CMDE.2021.36796.1638
Robab Fayyaz Behrouz, M. Amirfakhrian
{"title":"Numerical Method for the Solution of Algebraic Fuzzy Complex Equations","authors":"Robab Fayyaz Behrouz, M. Amirfakhrian","doi":"10.22034/CMDE.2021.36796.1638","DOIUrl":"https://doi.org/10.22034/CMDE.2021.36796.1638","url":null,"abstract":"In this paper, the numerical solution of an algebraic complex fuzzy equation of degree ${n}$, based on the parametric fuzzy numbers, is discussed. The unknown variable and right-hand side of the equation are considered as fuzzy complex numbers, whereas, the coefficients of the equation, are considered to be real crisp numbers. The given method is a numerical method and proposed based on the separation of the real and imaginary parts of the equation and using the parametric forms of the fuzzy numbers in the form of polynomials of degree at most ${m}$. In this case, a system of nonlinear equations achieved. To get the solutions of the system, we used the Gauss-Newton iterative method. We also very briefly explain the conjugate of the solution of such equations. Finally, the efficiency and quality of the given method are tested by applying it to some numerical examples.","PeriodicalId":44352,"journal":{"name":"Computational Methods for Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46518286","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Fractional study on heat and mass transfer of MHD Oldroyd-B fluid with ramped velocity and temperature MHD Oldroyd-B流体速度和温度梯度传热传质的分形研究
IF 1.1
Computational Methods for Differential Equations Pub Date : 2021-01-18 DOI: 10.22034/CMDE.2021.39703.1739
N. Iftikhar, S. T. Saeed, M. Riaz
{"title":"Fractional study on heat and mass transfer of MHD Oldroyd-B fluid with ramped velocity and temperature","authors":"N. Iftikhar, S. T. Saeed, M. Riaz","doi":"10.22034/CMDE.2021.39703.1739","DOIUrl":"https://doi.org/10.22034/CMDE.2021.39703.1739","url":null,"abstract":"This study explores the time-dependent convective flow of MHD Oldroyd-B fluid under the effect of ramped wall velocity and temperature. The flow is confined to an infinite vertical plate embedded in a permeable surface with the impact of heat generation and thermal radiation. Solutions of velocity, temperature, and concentration are derived symmetrically by applying non-dimensional parameters along with Laplace transformation $(LT)$ and numerical inversion algorithm. Graphical results for different physical constraints are produced for the velocity, temperature, and concentration profiles. Velocity and temperature profile decrease by increasing the effective Prandtl number. The existence of an effective Prandtl number may reflect the control of the thickness of momentum and enlargement of thermal conductivity. Velocity is decreasing for $kappa$, $M$, $Pr_{reff,}$ and $Sc$ while increasing for $G_{r}$ and $G_{c}$. Temperature is an increasing function of the fractional parameter. Additionally, Atangana-Baleanu $(ABC)$ model is good to explain the dynamics of fluid with better memory effect as compared to other fractional operators.","PeriodicalId":44352,"journal":{"name":"Computational Methods for Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46724467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
New midpoint type inequalities for generalized fractional integral 广义分数积分的新中点型不等式
IF 1.1
Computational Methods for Differential Equations Pub Date : 2021-01-05 DOI: 10.22034/CMDE.2020.40684.1772
H. Budak, Hasan Kara, Rabia Kapucu
{"title":"New midpoint type inequalities for generalized fractional integral","authors":"H. Budak, Hasan Kara, Rabia Kapucu","doi":"10.22034/CMDE.2020.40684.1772","DOIUrl":"https://doi.org/10.22034/CMDE.2020.40684.1772","url":null,"abstract":"In this paper, we first establish two new identities for differentiable function involving generalized fractional integrals. Then, by utilizing these equalities, we obtain some midpoint type inequalities involving generalized fractional integrals for mappings whose derivatives in absolute values are convex. We also give several results as special cases of our main results.","PeriodicalId":44352,"journal":{"name":"Computational Methods for Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44389903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
An approximation to the solution of one-dimensional hyperbolic telegraph equation based on the collocation of quadratic b-spline functions 基于二次b样条函数配置的一维双曲电报方程近似解
IF 1.1
Computational Methods for Differential Equations Pub Date : 2021-01-05 DOI: 10.22034/CMDE.2020.40112.1749
M. Zarebnia, R. Parvaz
{"title":"An approximation to the solution of one-dimensional hyperbolic telegraph equation based on the collocation of quadratic b-spline functions","authors":"M. Zarebnia, R. Parvaz","doi":"10.22034/CMDE.2020.40112.1749","DOIUrl":"https://doi.org/10.22034/CMDE.2020.40112.1749","url":null,"abstract":"In this work, collocation method based on B-spline functions is used to obtained a numerical solution for one-dimensional hyperbolic telegraph equation. The proposed method is consists of two main steps. As first step, by using finite difference scheme for time variable, partial differential equation is converted to an ordinary differential equation by space variable. In the next step, for solving this equation collocation method is used. In the analysis section of the proposed method, the convergence of the method is studied. Also, some numerical results are given to demonstrate the validity and applicability of the presented technique. The L∞, L2 and Root-Mean-Square(RMS) in the solutions show the efficiency of the method computationally.","PeriodicalId":44352,"journal":{"name":"Computational Methods for Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41461454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Cubic B-spline collocation method on non-uniform mesh for solving non-linear parabolic partial differential equation 非均匀网格上三次b样条配点法求解非线性抛物型偏微分方程
IF 1.1
Computational Methods for Differential Equations Pub Date : 2021-01-05 DOI: 10.22034/CMDE.2020.39472.1726
Swarn Singh, S. Bhatt, Suruchi Singh
{"title":"Cubic B-spline collocation method on non-uniform mesh for solving non-linear parabolic partial differential equation","authors":"Swarn Singh, S. Bhatt, Suruchi Singh","doi":"10.22034/CMDE.2020.39472.1726","DOIUrl":"https://doi.org/10.22034/CMDE.2020.39472.1726","url":null,"abstract":"In this paper, an approximate solution of non-linear parabolic partial differential equation is obtained for a non-uniform mesh. The scheme for partial differential equation subject to Neumann boundary is based on cubic B-spline collocation method. Modified cubic B-splines are proposed over non-uniform mesh to deal with the Dirichlet boundary conditions. This scheme produces a system of first order ordinary differential equations. This system is solved by Crank Nicholson method. The stability is also discussed using Von Neumann stability analysis. The accuracy and efficiency of the scheme is shown by numerical experiments. We have compared the approximate solutions with that in the literature.","PeriodicalId":44352,"journal":{"name":"Computational Methods for Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48154397","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of solution for nonlinear integral inclusions 非线性积分包含解的存在性
IF 1.1
Computational Methods for Differential Equations Pub Date : 2021-01-05 DOI: 10.22034/CMDE.2020.29281.1411
Z. Soltani
{"title":"Existence of solution for nonlinear integral inclusions","authors":"Z. Soltani","doi":"10.22034/CMDE.2020.29281.1411","DOIUrl":"https://doi.org/10.22034/CMDE.2020.29281.1411","url":null,"abstract":"In this paper, we prove the existence of solution of two nonlinear integral inclusions by using generalization of Krasnoselskii fixed point theorem for set-valued mappings. As an application we prove the existence of solution of the boundary valued problem of ordinary differential inclusion.","PeriodicalId":44352,"journal":{"name":"Computational Methods for Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47095602","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The monotonicity and convexity of the period function for a class of symmetric Newtonian systems of degree 8 一类8次对称牛顿系统周期函数的单调性和凸性
IF 1.1
Computational Methods for Differential Equations Pub Date : 2021-01-05 DOI: 10.22034/CMDE.2020.41241.1792
R. Kazemi, M. H. Akrami
{"title":"The monotonicity and convexity of the period function for a class of symmetric Newtonian systems of degree 8","authors":"R. Kazemi, M. H. Akrami","doi":"10.22034/CMDE.2020.41241.1792","DOIUrl":"https://doi.org/10.22034/CMDE.2020.41241.1792","url":null,"abstract":"In this paper, we study the monotonicity and convexity of the period function associated with centers of a specific class of symmetric Newtonian systems of degree 8. In this regard, we prove that if the period annulus surrounds only one elementary center, then the corresponding period function is monotone; but, for the other cases, the period function has exactly one critical point. We also prove that in all cases, the period function is convex.","PeriodicalId":44352,"journal":{"name":"Computational Methods for Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42429793","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger's equation (2+1)维双曲型非线性薛定谔方程的调制不稳定性分析、光学孤子和其他解
IF 1.1
Computational Methods for Differential Equations Pub Date : 2021-01-05 DOI: 10.22034/CMDE.2020.38990.1711
T. Sulaiman, U. Younas, M. Younis, J. Ahmad, S. Rehman, M. Bilal, A. Yusuf
{"title":"Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger's equation","authors":"T. Sulaiman, U. Younas, M. Younis, J. Ahmad, S. Rehman, M. Bilal, A. Yusuf","doi":"10.22034/CMDE.2020.38990.1711","DOIUrl":"https://doi.org/10.22034/CMDE.2020.38990.1711","url":null,"abstract":"The current study utilizes the extended sinh-Gordon equation expansion and ($frac{G^{prime}}{G^2}$)-expansion function methods in constructing various optical soliton and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schr${ddot o}$dinger's equation which describes the elevation of water wave surface for slowly modulated wave trains in deep water in hydrodynamics. We secure different kinds of solutions like optical dark, bright, singular, combo solitons as well as hyperbolic and trigonometric functions solutions. Moreover, singular periodic wave solutions are recovered and the constraint conditions which provide the guarantee to the soliton solutions are also reported. In order to shed more light on these novel solutions, graphical features 3D, 2D and contour with some suitable choice of parameter values have been depicted. We also discuss the stability analysis of the studied nonlinear model with aid of modulation instability analysis.","PeriodicalId":44352,"journal":{"name":"Computational Methods for Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46127191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 16
An Anomalous Diffusion Approach for Speckle Noise Reduction in Medical Ultrasound Images 一种用于医学超声图像散斑噪声抑制的异常扩散方法
IF 1.1
Computational Methods for Differential Equations Pub Date : 2021-01-05 DOI: 10.22034/CMDE.2020.41858.1812
H. R. Ghehsareh, M. Seidzadeh, Seyed Kamal Etesami
{"title":"An Anomalous Diffusion Approach for Speckle Noise Reduction in Medical Ultrasound Images","authors":"H. R. Ghehsareh, M. Seidzadeh, Seyed Kamal Etesami","doi":"10.22034/CMDE.2020.41858.1812","DOIUrl":"https://doi.org/10.22034/CMDE.2020.41858.1812","url":null,"abstract":"Medical ultrasound images are usually degraded by a specific type of noise, called \"speckle\". The presence of speckle noise in medical ultrasound images will reduce the image quality and affect the effective information, which can potentially cause a misdiagnosis. Therefore, medical image enhancement processing has been extensively studied and several denoising approaches have been introduced and developed. In the current work, a robust fractional partial differential equation (FPDE) model based on the anomalous diffusion theory is proposed and used for medical ultrasound image enhancement. An efficient computational approach based on a combination of a time integration scheme and localized meshless method in a domain decomposition framework is performed to deal with the model. {In order to evaluate the performance of the proposed de-speckling approach, it is used for speckle noise reduction of a synthetic ultrasound image degraded by different levels of speckle noise. The results indicate the superiority of the proposed approach in comparison with classical anisotropic diffusion denoising model (Catt$acute{e}$'s pde model).}","PeriodicalId":44352,"journal":{"name":"Computational Methods for Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42292367","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Qualitative analysis of fractional differential equations with $psi$-Hilfer fractional derivative 具有$psi$-Hilfer分数阶导数的分数阶微分方程的定性分析
IF 1.1
Computational Methods for Differential Equations Pub Date : 2021-01-05 DOI: 10.22034/CMDE.2020.37370.1670
O. Baghani, S. Harikrishnan, K. Kanagarajan
{"title":"Qualitative analysis of fractional differential equations with $psi$-Hilfer fractional derivative","authors":"O. Baghani, S. Harikrishnan, K. Kanagarajan","doi":"10.22034/CMDE.2020.37370.1670","DOIUrl":"https://doi.org/10.22034/CMDE.2020.37370.1670","url":null,"abstract":"We discuss successive approximation techniques for the investigation of solutions of fractional differential equations with $psi$-Hilfer fractional derivative. Next, we present the continuous dependence of a solution for the given Cauchy-type problem.","PeriodicalId":44352,"journal":{"name":"Computational Methods for Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45976398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信