Numerical solution of the nonlinear Volterra integro-differential equations by the Tau method

被引：29

作者：

Ebadi, G. ^{[1
]}

Rahimi-Ardabili, M. Y. ^{[1
]}

Shahmorad, S. ^{[1
]}

机构：

[1] Tabriz Univ, Dept Math Sci, Tabriz, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 188卷 / 02期

关键词：

operational approach to the Tau method; nonlinear Volterra integro-differential equations;

D O I：

10.1016/j.amc.2006.11.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we use the Operational approach to the Tau method for solving nonlinear Volterra integro-differential equation (VIDEs) with analytic function coefficients with initial or boundary conditions. We do this without linearizing nonlinear terms. We introduce an error estimation of the method. We give some examples to clarify the efficiency and high accuracy of the method.(c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1580 / 1586

页数：7

共 10 条

[1] Numerical treatment of moving and free boundary value problems with the Tau Method [J].

AliAbadi, MH ;

Ortiz, EL .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 35 (08) :53-61

[2]

[Anonymous], 1985, COMPUTATIONAL METHOD

[3] Numerical solution of a class of Integro-Differential equations by the Tau Method with an error estimation [J].

Hosseini, SM ;

Shahmorad, S .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 136 (2-3) :559-570

[4]

HOSSEINI SM, 2002, KOREAN J COMPUT APPL, V9, P497

[5]

Ortiz E. L., 1978, LECT NOTES MATH, V679, P127

[6] AN OPERATIONAL APPROACH TO THE TAU-METHOD FOR THE NUMERICAL-SOLUTION OF NON-LINEAR DIFFERENTIAL-EQUATIONS [J].

ORTIZ, EL ;

SAMARA, H .

COMPUTING, 1981, 27 (01) :15-25

[7] NUMERICAL-SOLUTION OF NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS WITH THE TAU-METHOD [J].

ORTIZ, EL ;

PUN, KS .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1985, 12-3 (MAY) :511-516

[8] Numerical solution of the system of Fredholm integro-differential equations by the Tau method [J].

Pour-Mahmoud, J ;

Rahimi-Ardabili, MY ;

Shahmorad, S .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (01) :465-478

[9] A reliable algorithm for solving boundary value problems for higher-order integro-differential equations [J].

Wazwaz, AM .

APPLIED MATHEMATICS AND COMPUTATION, 2001, 118 (2-3) :327-342

[10] Legendre wavelets method for the nonlinear Volterra-Fredholm integral equations [J].

Yousefi, S ;

Razzaghi, M .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2005, 70 (01) :1-8

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