An Operational Matrix Method for Solving Delay Fredholm and Volterra Integro-Differential Equations

被引：12

作者：

Shahmorad, Sedaghat ^{[1
]}

Ostadzad, Mohammad Hossein ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2016年 / 13卷 / 06期

关键词：

Operational Tau method; delay Fredholm integro-differential equation; delay Volterra integro-differential equation; DIFFERENTIAL EIGENVALUE PROBLEMS; NUMERICAL-SOLUTION; TAU-METHOD; APPROXIMATION; ELEMENTS; LINES;

D O I：

10.1142/S0219876216500407

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we develop the operational approach to the Tau method to solve delay integro-differential equations (DIDEs). The differential and integral parts appearing in the equations are replaced by their operational Tau matrix representations. Some numerical results are given to demonstrate the superior performance of the method.

引用

页数：20

共 36 条

[1]

Ali Abadi M. H., 1988, Applied Mathematics Letters, V1, P3, DOI 10.1016/0893-9659(88)90163-2

[2] 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

[3]

[Anonymous], DYNAMICAL SYSTEMS

[4]

[Anonymous], 2003, Numerical Methods for Delay Differential Equations

[5]

[Anonymous], KOREAN J COMPUT APPL

[6]

Brunner H., 2004, CAMBRIDGE MONOGRAPHS, V15

[7] Numerical solution of the nonlinear Volterra integro-differential equations by the Tau method [J].

Ebadi, G. ;

Rahimi-Ardabili, M. Y. ;

Shahmorad, S. .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (02) :1580-1586

[8] Iterated solutions of linear operator equations with the Tau Method [J].

ElDaou, MK ;

Khajah, HG .

MATHEMATICS OF COMPUTATION, 1997, 66 (217) :207-213

[9] TAU-LINES - A NEW HYBRID APPROACH TO THE NUMERICAL TREATMENT OF CRACK PROBLEMS BASED ON THE TAU METHOD [J].

ELMISIERY, AEM ;

ORTIZ, EL .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 56 (03) :265-282

[10]

GU K., 2003, CONTROL ENGN SER BIR

← 1 2 3 4 →