An ADI finite difference method for the two-dimensional Volterra integro-differential equation with weakly singular kernel-Reference-Cited by-同舟云学术

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An ADI finite difference method for the two-dimensional Volterra integro-differential equation with weakly singular kernel

Published:2022-05-10 Issue:12 Volume:99 Page:2542-2554
ISSN:0020-7160
Container-title:International Journal of Computer Mathematics
language:en
Short-container-title:International Journal of Computer Mathematics

Author:

Qiao Leijie¹,Wang Zhibo²,Xu Da³

Affiliation:

1. School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, China

2. School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou, Guangdong, China

3. MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan, China

Funder

National Natural Science Foundation of China

Young Top-notch Talent Program of Guangdong Province

Natural Science Foundation of Guangdong Province

Project of Science and Technology of Guangzhou

Sun Yat-sen University

Scientific Research Fund of Hunan Provincial Education Department

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications

Link

https://www.tandfonline.com/doi/pdf/10.1080/00207160.2022.2073178

Reference34 articles.

1. Field study of dispersion in a heterogeneous aquifer: 2. Spatial moments analysis

2. An improved method based on Haar wavelets for numerical solution of nonlinear integral and integro-differential equations of first and higher orders

3. A new approach for numerical solution of integro-differential equations via Haar wavelets

4. New algorithms for the numerical solution of nonlinear Fredholm and Volterra integral equations using Haar wavelets

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A unified approach to solving parabolic Volterra partial integro-differential equations for a broad category of kernels: Numerical analysis and computing;Results in Applied Mathematics;2024-02

2. The Application of Splines of the Seventh Order Approximation to the Solution of Integral Fredholm Equations;WSEAS TRANSACTIONS ON MATHEMATICS;2023-05-25

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