Computational and Applied Mathematics最新文献_第6页

Direct and some inverse problems for a generalized diffusion equation with variable coefficients 具有可变系数的广义扩散方程的直接问题和一些反问题

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-10 DOI: 10.1007/s40314-024-02869-2

Asim Ilyas, S. Malik

引用次数: 0

An inertial extragradient method for solving strongly pseudomonotone equilibrium problems in Hilbert spaces 求解希尔伯特空间强伪单调平衡问题的惯性外梯度法

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-09 DOI: 10.1007/s40314-024-02840-1

Thi Thanh Hai Le, Viet Thong Duong, Tu Vuong Phan

引用次数: 0

An advanced scheme based on artificial intelligence technique for solving nonlinear riccati systems 基于人工智能技术的非线性里卡提系统高级求解方案

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-08 DOI: 10.1007/s40314-024-02865-6

Mohd Rashid Admon, N. Senu, A. Ahmadian, Z. Majid

引用次数: 0

Finding solution of linear systems via new forms of BiCG, BiCGstab and CGS algorithms 通过新形式的 BiCG、BiCGstab 和 CGS 算法寻找线性系统的解决方案

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-07 DOI: 10.1007/s40314-024-02867-4

Hojjatollah Shokri Kaveh, Masoud Hajarian, Anthony. T. Chronopoulos

引用次数: 0

Error analysis of the fully Galerkin approximations for the nonlinear extended-Fisher–Kolmogorov equation 非线性扩展渔-科尔莫哥罗夫方程的全伽勒金近似的误差分析

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-07 DOI: 10.1007/s40314-024-02827-y

Kaouther Ismail, Ankur, Khaled Omrani

引用次数: 0

Solving optimal control problems governed by nonlinear PDEs using a multilevel method based on an artificial neural network 使用基于人工神经网络的多层次方法解决非线性 PDE 所控制的优化控制问题

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-06 DOI: 10.1007/s40314-024-02834-z

M. Mahmoudi, M. E. Sanaei

{"title":"Solving optimal control problems governed by nonlinear PDEs using a multilevel method based on an artificial neural network","authors":"M. Mahmoudi, M. E. Sanaei","doi":"10.1007/s40314-024-02834-z","DOIUrl":"https://doi.org/10.1007/s40314-024-02834-z","url":null,"abstract":"A novel framework is proposed in this research based on multilevel method to solve the optimal control problem. In recent dacades, the mathematical theory of optimal control has rapidly developed into an important and separate field of applied mathematics. The solution of nonlinear partial differential equations is considerably difficult, and the theory of their optimal control is still an open field in many respects. These optimization problems have found diverse applications in various sciences including electrical engineering, mechanical engineering, and aerospace. Current methods for solving this class of optimal control problems usually fall into two classes: discrete-then-optimization or optimization-then-discrete approaches. The proposed approach, however, does not require discretization as it involves rewriting the optimal control problem as a multi-objective optimization problem followed by its solution with a feedforward single-layer artificial neural network based on learning through by the multi-level Levenberg–Marquardt method. Moreover, the convergence of the approach was discussed and some numerical results are presented.","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"39 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Local edge metric dimensions via corona products and integer linear programming 通过日冕积和整数线性规划实现局部边缘度量维度

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-04 DOI: 10.1007/s40314-024-02879-0

Fateme Amini, Michael A. Henning, Mostafa Tavakoli

{"title":"Local edge metric dimensions via corona products and integer linear programming","authors":"Fateme Amini, Michael A. Henning, Mostafa Tavakoli","doi":"10.1007/s40314-024-02879-0","DOIUrl":"https://doi.org/10.1007/s40314-024-02879-0","url":null,"abstract":"Let G be a connected graph. The distance between two vertices u and v in G, denoted by (d_G(u,v)), is the number of edges in a shortest path from u to v, while the distance between an edge (e = xy) and a vertex v in G is (d_G(e,v) = min {d_G(x,v),d_G(y,v)}). For an edge (e in E(G)) and a subset S of V(G), the representation of e with respect to (S={x_1,ldots ,x_k}) is the vector (r_G(e|S) =(d_1,ldots ,d_k)), where (d_i=d_G(e,x_i)) for (i in [k]). If (r_G(e|S)ne r_G(f|S)) for every two adjacent edges e and f of G, then S is called a local edge metric generator for G. The local edge metric dimension of G, denoted by (mathrm{edim_ell }(G)), is the minimum cardinality among all local edge metric generators in G. For two non-trivial graphs G and H, we determine (mathrm{edim_ell }(G diamond H)) in the edge corona product (G diamond H) and we determine (mathrm{edim_ell }(Gcirc H)) in the corona product (Gdiamond H). We also formulate the problem of computing (mathrm{edim_ell }(G)) as an integer linear programming model.","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"10 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical restorability of parameter values of space-time fractional soil consolidation model 时空分数土壤固结模型参数值的数值复原性

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-03 DOI: 10.1007/s40314-024-02845-w

Vsevolod Bohaienko

{"title":"Numerical restorability of parameter values of space-time fractional soil consolidation model","authors":"Vsevolod Bohaienko","doi":"10.1007/s40314-024-02845-w","DOIUrl":"https://doi.org/10.1007/s40314-024-02845-w","url":null,"abstract":"At present, a large number of fractional differential models of migration processes in soils are developed. Their practical application largely depends on the possibility to determine the values of their parameters. In this regard, we study the possibility of recovering the values of parameters for one such generalized model from noised data in order to assess the threshold of measurement accuracy, beyond which the complication of a model leads to an inability to distinguish its solutions from the solutions of simpler models. We consider the 1D fractional-order model of water head dissipation in water-saturated soil with linear deformation that includes the Caputo–Fabrizio derivative with respect to the time variable and the Riemann–Liouville derivative with respect to the space variable. Direct problems for this model are proposed to be solved by an optimized computational procedure based on a finite-difference scheme. Inverse problems of model’s parameter identification are solved using a multi-threaded Particle Swarm Optimization technique. The results of computational experiments showed that the values of model parameters can be restored with less than (10%) relative error for the number of input water head values equal to 1000 and the level of noise less than (5%). Our results also show that the order of the Riemann–Liouville derivative can be with an average relative error of less than (3%) restored even at (10%) level of noise and 40 input values, when the accuracy of other parameters’ restoration drops significantly.","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"45 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Lower bound for the Sombor index of trees with a given total domination number 具有给定总支配数的树木的松博指数下限

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-03 DOI: 10.1007/s40314-024-02871-8

Xiaoling Sun, Jianwei Du, Yinzhen Mei

引用次数: 0

Lie symmetry analysis of time fractional nonlinear partial differential equations in Hilfer sense 希尔费意义上的时间分数非线性偏微分方程的列对称分析

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-08-02 DOI: 10.1007/s40314-024-02849-6

Reetha Thomas, T. Bakkyaraj

{"title":"Lie symmetry analysis of time fractional nonlinear partial differential equations in Hilfer sense","authors":"Reetha Thomas, T. Bakkyaraj","doi":"10.1007/s40314-024-02849-6","DOIUrl":"https://doi.org/10.1007/s40314-024-02849-6","url":null,"abstract":"We derive the prolongation formula of the one-parameter Lie point transformations to the Hilfer fractional derivative and show that the existing prolongation formula for the Riemann Liouville and Caputo fractional derivatives are special cases of the proposed formula, corresponding to the type parameter (gamma =0) and (gamma =1), respectively. The applicability of the proposed formula is demonstrated by deriving the Lie point symmetries of the time-fractional heat equation, the fractional Burgers equation, and the fractional KdV equation in Hilfer’s sense. We use the obtained Lie point symmetries to find the similarity variables and transformations. Using the similarity transformations, we show that each is converted into a nonlinear fractional ordinary differential equation with a new independent variable. The fractional derivative in the reduced equation can be either the Hilfer-type modification of the Erdélyi Kober fractional derivative or the Hilfer fractional derivative itself. We demonstrate that the exact solution of the time-fractional differential equation in the Hilfer sense can be reduced to the exact solutions of the corresponding time-fractional differential equations in the Riemann–Liouville and Caputo senses by setting the type parameter to (gamma =0) and (gamma =1), respectively.","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"366 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141886330","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0