Comparison of Two Hybrid Functions for Numerical Solution of Nonlinear Mixed Partial Integro-Differential Equations

被引：0
作者：
Yaser Rostami
Khosrow Maleknejad
机构：
[1] Islamic Azad University,Department of Mathematic
[2] Iran University of Science Technology,Department of Mathematic
来源：
Iranian Journal of Science and Technology, Transactions A: Science | 2022年 / 46卷
关键词：
Volterra–Fredholm partial integro-differential equations; Two-dimensional Taylor polynomials; Two-dimensional Legendre polynomials; Block pulse functions; Operational matrix; 34K28; 45K99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present paper, two methods have been introduced for solving two-dimensional nonlinear mixed Volterra–Fredholm partial integro-differential equations with initial conditions. Hybrid two-dimensional Taylor polynomials and block pulse functions and operational matrices of integration and derivative have been proposed for numerical approximation. Hybrid two-dimensional Legendre polynomials and block pulse functions have been also utilized for comparison of obtained solutions. These operational matrices have been applied for two methods to reduce the given system of algebraic equations. The error analysis and convergence analysis and some numerical results are provided to describe the efficiency and validity of the schemes through the comparison errors. Several figures are plotted to establish the error analysis of the approaches presented.
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页码：645 / 658
页数：13
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