Pub Date : 2024-02-26DOI: 10.1080/00207160.2024.2321361
Min Li, Chuan Qin, Prasit Cholamjiak, Papatsara Inkrong
We propose an accelerated projection-type method for solving variational inequalities in Hilbert spaces. The method is suitable for pseudomonotone non-Lipschitz continuous operators and obtains str...
{"title":"Projection-type method with line-search process for solving variational inequalities","authors":"Min Li, Chuan Qin, Prasit Cholamjiak, Papatsara Inkrong","doi":"10.1080/00207160.2024.2321361","DOIUrl":"https://doi.org/10.1080/00207160.2024.2321361","url":null,"abstract":"We propose an accelerated projection-type method for solving variational inequalities in Hilbert spaces. The method is suitable for pseudomonotone non-Lipschitz continuous operators and obtains str...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"44 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140005672","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}
Pub Date : 2024-02-13DOI: 10.1080/00207160.2024.2316751
Z. Avazzadeh, H. Hassani, M. J. Ebadi, A. Bayati Eshkaftaki, A. S. Hendy
In this paper, we introduce a general class of the inverse system of nonlinear fractional order partial differential equations (GCISNF-PDEs) with initial-boundary and two overdetermination conditio...
本文介绍了一类具有初始边界和两个超定条件的非线性分数阶偏微分方程逆系统（GCISNF-PDEs）。
{"title":"An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs","authors":"Z. Avazzadeh, H. Hassani, M. J. Ebadi, A. Bayati Eshkaftaki, A. S. Hendy","doi":"10.1080/00207160.2024.2316751","DOIUrl":"https://doi.org/10.1080/00207160.2024.2316751","url":null,"abstract":"In this paper, we introduce a general class of the inverse system of nonlinear fractional order partial differential equations (GCISNF-PDEs) with initial-boundary and two overdetermination conditio...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"28 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139771050","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}
Pub Date : 2024-02-11DOI: 10.1080/00207160.2024.2315131
Xuan Zhao, Zhuhan Jiang, Hong Sun
In this work, we take a consideration of the time fractional molecular beam epitaxial(MBE) models. The variable time-step BDF2 methods are proposed for time fractional MBE models in order to obtain...
{"title":"Energy dissipation law of the variable time-step fractional BDF2 scheme for the time fractional molecular beam epitaxial model","authors":"Xuan Zhao, Zhuhan Jiang, Hong Sun","doi":"10.1080/00207160.2024.2315131","DOIUrl":"https://doi.org/10.1080/00207160.2024.2315131","url":null,"abstract":"In this work, we take a consideration of the time fractional molecular beam epitaxial(MBE) models. The variable time-step BDF2 methods are proposed for time fractional MBE models in order to obtain...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"3 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139771295","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}
Pub Date : 2024-02-08DOI: 10.1080/00207160.2024.2305143
Tiantian Bao, Xiufang Feng
The numerical solution of the Helmholtz equations is challenging to compute when the wave numbers contained in the governing equation are large. In this paper, we present a parallel algorithm for t...
{"title":"A parallel high-order accuracy algorithm for the Helmholtz equations","authors":"Tiantian Bao, Xiufang Feng","doi":"10.1080/00207160.2024.2305143","DOIUrl":"https://doi.org/10.1080/00207160.2024.2305143","url":null,"abstract":"The numerical solution of the Helmholtz equations is challenging to compute when the wave numbers contained in the governing equation are large. In this paper, we present a parallel algorithm for t...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"17 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139771408","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}
Pub Date : 2024-02-06DOI: 10.1080/00207160.2024.2312891
Raghvendra Pratap Singh, Y. N. Reddy
This paper presents a numerical integration method for the solution of ‘Singularly Perturbed Differential-Difference Equations' having dual layers. It is well known that when we use already existin...
{"title":"The solution for singularly perturbed differential-difference equation with boundary layers at both ends by a numerical integration method","authors":"Raghvendra Pratap Singh, Y. N. Reddy","doi":"10.1080/00207160.2024.2312891","DOIUrl":"https://doi.org/10.1080/00207160.2024.2312891","url":null,"abstract":"This paper presents a numerical integration method for the solution of ‘Singularly Perturbed Differential-Difference Equations' having dual layers. It is well known that when we use already existin...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139768787","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}
Pub Date : 2024-02-02DOI: 10.1080/00207160.2023.2301555
Jiao Wen, Chengming Huang, Hongbo Guan
In this paper, we investigate two-step Runge–Kutta methods to solve Volterra integro-differential equations. Two-step Runge–Kutta methods increase the order of convergence in comparing the classica...
{"title":"Two-step Runge–Kutta methods for Volterra integro-differential equations","authors":"Jiao Wen, Chengming Huang, Hongbo Guan","doi":"10.1080/00207160.2023.2301555","DOIUrl":"https://doi.org/10.1080/00207160.2023.2301555","url":null,"abstract":"In this paper, we investigate two-step Runge–Kutta methods to solve Volterra integro-differential equations. Two-step Runge–Kutta methods increase the order of convergence in comparing the classica...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"16 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139670298","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}
In the current work, we develop and analyse a prey–predator model as a semi-Kolmogorov population model in which the predator has an indirect effect on the prey. The functional response of the mode...
{"title":"Analysis of a stochastic model for a prey–predator system with an indirect effect","authors":"Leila Torkzadeh, Milad Fahimi, Hassan Ranjbar, Kazem Nouri","doi":"10.1080/00207160.2024.2309484","DOIUrl":"https://doi.org/10.1080/00207160.2024.2309484","url":null,"abstract":"In the current work, we develop and analyse a prey–predator model as a semi-Kolmogorov population model in which the predator has an indirect effect on the prey. The functional response of the mode...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"23 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139586666","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}
The aim of the paper is to derive minimization algorithms based on the Nesterov accelerated gradient flow [Y. Nesterov, Gradient methods for minimizing composite objective function. Core discussion...
{"title":"Adaptation and assessement of projected Nesterov accelerated gradient flow to compute stationary states of nonlinear Schrödinger equations","authors":"Xavier Antoine, Chorouq Bentayaa, Jérémie Gaidamour","doi":"10.1080/00207160.2023.2294688","DOIUrl":"https://doi.org/10.1080/00207160.2023.2294688","url":null,"abstract":"The aim of the paper is to derive minimization algorithms based on the Nesterov accelerated gradient flow [Y. Nesterov, Gradient methods for minimizing composite objective function. Core discussion...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"15 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138715985","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}
Pub Date : 2023-12-11DOI: 10.1080/00207160.2023.2294432
Bin Wang, Xianfa Hu, Xinyuan Wu
We note a fact that stiff systems or differential equations that have highly oscillatory solutions cannot be solved efficiently using conventional methods. In this paper, we study two new classes o...
{"title":"Two new classes of exponential Runge–Kutta integrators for efficiently solving stiff systems or highly oscillatory problems","authors":"Bin Wang, Xianfa Hu, Xinyuan Wu","doi":"10.1080/00207160.2023.2294432","DOIUrl":"https://doi.org/10.1080/00207160.2023.2294432","url":null,"abstract":"We note a fact that stiff systems or differential equations that have highly oscillatory solutions cannot be solved efficiently using conventional methods. In this paper, we study two new classes o...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"18 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138572567","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}
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