COMPARISON OF THREE NUMERICAL ANALYSIS METHODS ON A LINEAR SECOND KIND FREDHOLM INTEGRO-DIFFERENTIAL EQUATION

被引：0

作者：

Seny, Ouedraogo ^{[1
]}

Francis, Bassono ^{[1
]}

Rasmane, Yaro ^{[1
]}

Pare, Youssouf ^{[1
]}

机构：

[1] Univ Joseph Ki Zerbo, UFR SEA, Ouagadougou, Burkina Faso

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2021年 / 25卷 / 01期

关键词：

Fredholm integro-differential equation; constant method; Adomian decomposition method; perturbation method; DECOMPOSITION METHOD;

D O I：

10.17654/DE025010001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we proceed to a comparative study of the numerical solutions obtained by the constant, perturbation and Adomian methods of the following degenerate kernel Fredholm integro-differential equation: (p): {du/dx = x/beta - epsilon integral(0)1UB1BX X(1 + x(2) - t(2))u(t)dt; beta > 0, 0 < epsilon << 1, u(0) = alpha.

引用

页码：1 / 10

页数：10

共 10 条

[1] The decomposition method applied to the Cauchy problem
Abbaoui, K
Cherruault, Y
[J]. KYBERNETES, 1999, 28 (01) : 68 - 74
[2] CONVERGENCE OF ADOMIAN METHOD APPLIED TO DIFFERENTIAL-EQUATIONS
ABBAOUI, K
CHERRUAULT, Y
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 28 (05) : 103 - 109
[3] Adomian G, 1999, NONLINEAR STOCHASTIC
[4] Bakari Abbo N, 2006, FAR E J APPL MATH, V23, P299
[5] Cherruault Yves., 1998, MODELES MATEMATIQUES
[6] Biomedical and biocybernetics applications - The decomposition method for solving first order partial differential equations
Khelifa, S
Cherruault, Y
[J]. KYBERNETES, 2002, 31 (5-6) : 844 - 871
[7] Moussa Yaya, 2017, INT J NUM METHODS AP, V16, P1
[8] Pare Youssouf, 2013, NONL ANAL DIFFER EQU, V1, P115
[9] Pare Youssouf, 2012, FAR E J APPL MATH, V70, P21
[10] Pare Youssouf, 2010, THESIS U OUAGADOUGOU

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