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On frame diagonalization of square matrices 关于正方形矩阵的框架对角化
IF 1.8 4区 数学
International Journal of Computer Mathematics Pub Date : 2024-09-09 DOI: 10.1080/00207160.2024.2398667
B. Kh. Mousavi
{"title":"On frame diagonalization of square matrices","authors":"B. Kh. Mousavi","doi":"10.1080/00207160.2024.2398667","DOIUrl":"https://doi.org/10.1080/00207160.2024.2398667","url":null,"abstract":"In this paper, we introduce a frame diagonalization of matrices in Mn(C), called QR-frame diagonalization, by using QR-factorization. Furthermore, we show that every matrix A in Mn(C) is QR-frame d...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"298 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217555","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Convergence of Runge–Kutta-based convolution quadrature for semilinear fractional differential equations 基于 Runge-Kutta 的半线性分微分方程卷积正交的收敛性
IF 1.8 4区 数学
International Journal of Computer Mathematics Pub Date : 2024-08-31 DOI: 10.1080/00207160.2024.2395977
Jingjun Zhao, Jiameng Kong, Yang Xu
{"title":"Convergence of Runge–Kutta-based convolution quadrature for semilinear fractional differential equations","authors":"Jingjun Zhao, Jiameng Kong, Yang Xu","doi":"10.1080/00207160.2024.2395977","DOIUrl":"https://doi.org/10.1080/00207160.2024.2395977","url":null,"abstract":"For solving the semilinear fractional differential equations with the nonsmooth force term, we construct a class of Runge–Kutta-based convolution quadrature. Moreover, we analyse the convergence of...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"59 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 investigation of the mesh-free collocation approach for solving third kind VIEs with nonlinear vanishing delays 解决具有非线性消失延迟的第三类 VIE 的无网格配位方法的数值研究
IF 1.8 4区 数学
International Journal of Computer Mathematics Pub Date : 2024-08-29 DOI: 10.1080/00207160.2024.2397659
E. Aourir, H. Laeli Dastjerdi
{"title":"Numerical investigation of the mesh-free collocation approach for solving third kind VIEs with nonlinear vanishing delays","authors":"E. Aourir, H. Laeli Dastjerdi","doi":"10.1080/00207160.2024.2397659","DOIUrl":"https://doi.org/10.1080/00207160.2024.2397659","url":null,"abstract":"The principal purpose of this investigation is to present an approximate algorithm for solving third-kind Volterra integral equation with nonlinear vanishing delays using mesh-free techniques based...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"36 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A novel coupled p(x) and fractional PDE denoising model with theoretical results 新型 p(x) 和分数 PDE 耦合去噪模型及理论结果
IF 1.8 4区 数学
International Journal of Computer Mathematics Pub Date : 2024-08-26 DOI: 10.1080/00207160.2024.2394860
Z. Zaabouli, A. El Hakoume, L. Afraites, A. Laghrib
{"title":"A novel coupled p(x) and fractional PDE denoising model with theoretical results","authors":"Z. Zaabouli, A. El Hakoume, L. Afraites, A. Laghrib","doi":"10.1080/00207160.2024.2394860","DOIUrl":"https://doi.org/10.1080/00207160.2024.2394860","url":null,"abstract":"In this paper, we formulate a new coupled PDE-based configuration for image denoising. We elaborate a new class of coupled PDE that involves a p(x)-Laplace and a controlled fractional-type operator...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"17 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Projection and modified projection methods for nonlinear Hammerstein integral equations on the real line using Hermite polynomials 使用赫米特多项式的实线上非线性哈默斯坦积分方程的投影法和修正投影法
IF 1.8 4区 数学
International Journal of Computer Mathematics Pub Date : 2024-08-21 DOI: 10.1080/00207160.2024.2394660
Hamza Bouda, Chafik Allouch, Ahmed Boujraf, Mohamed Tahrichi
{"title":"Projection and modified projection methods for nonlinear Hammerstein integral equations on the real line using Hermite polynomials","authors":"Hamza Bouda, Chafik Allouch, Ahmed Boujraf, Mohamed Tahrichi","doi":"10.1080/00207160.2024.2394660","DOIUrl":"https://doi.org/10.1080/00207160.2024.2394660","url":null,"abstract":"Many physical problems represented as initial and boundary value problems are usually solved by transforming them into integral equations on the real line. Therefore, this paper proposes polynomial...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"58 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation 二维时分费雪方程的二阶差分法与时间双网格算法相结合
IF 1.8 4区 数学
International Journal of Computer Mathematics Pub Date : 2024-08-13 DOI: 10.1080/00207160.2024.2389859
Wenguang Yang, Zhibo Wang, Caixia Ou
{"title":"A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation","authors":"Wenguang Yang, Zhibo Wang, Caixia Ou","doi":"10.1080/00207160.2024.2389859","DOIUrl":"https://doi.org/10.1080/00207160.2024.2389859","url":null,"abstract":"In this paper, a finite difference (FD) scheme based on time two-grid algorithm is proposed for solving the two-dimensional time-fractional Fisher equation (2D-TFFE). Firstly, the Caputo fractional...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"75 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Stable recovery of piecewise constant conductance on spider networks 蜘蛛网络上片断恒定电导的稳定恢复
IF 1.8 4区 数学
International Journal of Computer Mathematics Pub Date : 2024-07-31 DOI: 10.1080/00207160.2024.2385631
Á. Carmona, A. M. Encinas, M. J. Jiménez, Á. Samperio
{"title":"Stable recovery of piecewise constant conductance on spider networks","authors":"Á. Carmona, A. M. Encinas, M. J. Jiménez, Á. Samperio","doi":"10.1080/00207160.2024.2385631","DOIUrl":"https://doi.org/10.1080/00207160.2024.2385631","url":null,"abstract":"We address the discrete inverse conductance problem for well-connected spider networks, that is, to recover the conductance function on a well-connected spider network from the Dirichlet-to-Neumann...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"54 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141884027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Isogeometric method for a nonlocal degenerate parabolic problem 非局部退化抛物问题的等距法
IF 1.8 4区 数学
International Journal of Computer Mathematics Pub Date : 2024-07-31 DOI: 10.1080/00207160.2024.2385625
Shreya Chauhan, Sudhakar Chaudhary
{"title":"Isogeometric method for a nonlocal degenerate parabolic problem","authors":"Shreya Chauhan, Sudhakar Chaudhary","doi":"10.1080/00207160.2024.2385625","DOIUrl":"https://doi.org/10.1080/00207160.2024.2385625","url":null,"abstract":"In this article, we apply NURBS-based isogeometric method to solve a nonlocal degenerate parabolic problem. The isogeometric method has advantages over classical finite element method in terms of e...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"47 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141884028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Streamlined numerical solutions of burgers' equations bridging the tailored finite point method and the Cole Hopf transformation 桥接定制有限点法和科尔-霍普夫变换的勃氏方程简化数值解法
IF 1.8 4区 数学
International Journal of Computer Mathematics Pub Date : 2024-07-29 DOI: 10.1080/00207160.2024.2384598
V. P. Shyaman, A. Sreelakshmi, Ashish Awasthi
{"title":"Streamlined numerical solutions of burgers' equations bridging the tailored finite point method and the Cole Hopf transformation","authors":"V. P. Shyaman, A. Sreelakshmi, Ashish Awasthi","doi":"10.1080/00207160.2024.2384598","DOIUrl":"https://doi.org/10.1080/00207160.2024.2384598","url":null,"abstract":"This paper explores the possibility of solving the one-dimensional Burgers' equation with a tailored finite point method (TFPM) based on an explicit stencil along with utilizing the Cole Hopf trans...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"30 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141936017","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
E-PINN: extended physics informed neural network for the forward and inverse problems of high-order nonlinear integro-differential equations E-PINN：针对高阶非线性积分微分方程正演和反演问题的扩展物理信息神经网络
IF 1.8 4区 数学
International Journal of Computer Mathematics Pub Date : 2024-07-09 DOI: 10.1080/00207160.2024.2374820
HongMing Zhang, Xinping Shao, ZhengFang Zhang, MingYan He
{"title":"E-PINN: extended physics informed neural network for the forward and inverse problems of high-order nonlinear integro-differential equations","authors":"HongMing Zhang, Xinping Shao, ZhengFang Zhang, MingYan He","doi":"10.1080/00207160.2024.2374820","DOIUrl":"https://doi.org/10.1080/00207160.2024.2374820","url":null,"abstract":"Physics informed neural network (PINN) is a new deep learning paradigm, which embeds the physical information delineated by PDEs in the loss function and optimizes the weights in the neural network...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"23 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141614732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
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