Iterative numerical solution of non-linear integro-differential equations by the Tau method

Applied Mathematics and Computation

Volumn 193, Issue 2, 2007, Pages 514-522

  Rahimi Ardabili, M Y ^a,b   Shahmorad, S ^a,b  

^a UNIVERSITY OF TABRIZ   (Iran)

^b INSTITUTE FOR RESEARCH IN FUNDAMENTAL SCIENCES IPM   (Iran)

Author keywords

Fredholm and Volterra integral and integro differential equations; Tau method

Indexed keywords

ITERATIVE METHODS; LINEAR EQUATIONS; NUMERICAL METHODS;

TAU METHOD; VOLTERRA INTEGRAL;

INTEGRODIFFERENTIAL EQUATIONS;

EID: 35548948423     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.04.002     Document Type: Article

References (4)

1. Hosseini S.M., and Shahmorad S. Numerical solution of a class of integro-differential equations by the Tau with an error estimation. Appl. Math. Comput. 136 (2003) 559-570
2. Hosseini S.M., and Shahmorad S. Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases. Appl. Math. Model. 27 (2003) 145-154
3. Ortiz E.L., and Samara H. An operational approach to the Tau method for the numerical solution of nonlinear differential equations. Computing 27 (1981) 15-25
4. Hosseini S.M., and Shahmorad S. A matrix formulation of the Tau for Fredholm and Volterra linear integro-differential equations. Korean J. Comput. Appl. Math. 9 2 (2002) 497-507