Convergence and Error Estimation of a New Formulation of Homotopy Perturbation Method for Classes of Nonlinear Integral/Integro-Differential Equations

被引：3

作者：

Mousa, Mohamed M. ^{[1
,2
]}

Alsharari, Fahad ^{[1
,3
]}

机构：

[1] Majmaah Univ, Coll Sci & Human Studies Hotat Sudair, Dept Math, Al Majmaah 11952, Saudi Arabia

[2] Benha Univ, Fac Engn Benha, Dept Basic Engn Sci, Banha 13512, Egypt

[3] Jouf Univ, Coll Sci & Arts, Dept Math, Gurayat 77455, Saudi Arabia

来源：

MATHEMATICS | 2021年 / 9卷 / 18期

关键词：

homotopy perturbation method; nonlinear integral equation; nonlinear integro-differential equation; error estimation; SUMUDU TRANSFORM;

D O I：

10.3390/math9182244

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, the main concept of the homotopy perturbation method (HPM) was outlined and convergence theorems of the HPM for solving some classes of nonlinear integral, integro-differential and differential equations were proved. A theorem for estimating the error in the approximate solution was proved as well. The proposed HPM convergence theorems were confirmed and the efficiency of the technique was explored by applying the HPM for solving several classes of nonlinear integral/integro-differential equations.

引用

页数：14

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