Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations

被引：3

作者：

Mandal, Moumita ^{[1
]}

Kayal, Arnab ^{[1
]}

Nelakanti, Gnaneshwar ^{[2
]}

机构：

[1] Indian Inst Technol Jodhpur, Dept Math, Jodhpur 342037, Rajasthan, India

[2] Indian Inst Technol Kharagpur, Dept Math, Kharagpur 721302, W Bengal, India

来源：

APPLIED NUMERICAL MATHEMATICS | 2023年 / 184卷

关键词：

Integro-differential equations; Smooth kernels; Projection method; Kulkarni method; Superconvergence rates; NUMERICAL-SOLUTION; GALERKIN-METHOD; COLLOCATION METHODS; INTEGRAL-EQUATIONS; SUPERCONVERGENCE;

D O I：

10.1016/j.apnum.2022.09.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this article is to findthe approximate solution of the nonlinear Fredholm integro-differential equations of second kind with smooth kernels with less computational complexity and investigate the asymptotic behavior of convergence of the approximate solutions by using global polynomials based projection methods. We develop the theoretical framework for the nonlinear Fredholm integro-differential equations to obtain the superconvergence results by Legendre polynomial based projection methods and their iterated versions. Numerical examples are considered to demonstrate the theoretical results. (c) 2022 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：49 / 76

页数：28

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