Approximate Solution of System of Multi-term Fractional Mixed Volterra–Fredholm Integro-Differential Equations by BPFs

被引：0
作者：
Yousef Barazandeh [1 ]
Bahman Ghazanfari [1 ]
机构：
[1] Department of Mathematics, Lorestan University, Khorramabad
来源：
International Journal of Applied and Computational Mathematics | 2024年 / 10卷 / 5期
关键词：
Block pulse functions; Caputo derivative; Integro-differential equation; Riemann–Liouville integral;
D O I：
10.1007/s40819-024-01778-6
中图分类号：
学科分类号：
摘要：
We use the block pulse functions (BPFs) and their operational matrix to approximate solution of a system of multi-term fractional mixed Volterra–Fredholm integro-differential equations. Firstly, we homogenize it and then convert it to the system of algebraic equations. By solving the system of algebraic equations, a numerical solution is obtained. After demonstrating the method’s convergence, several examples are presented. Comparing the results confirms the proposed method’s applicability, accuracy, and efficiency. © The Author(s), under exclusive licence to Springer Nature India Private Limited 2024.
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