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Zbl 1178.65146
Ebadi, G.; Rahimi, M.Y.; Shahmorad, S.
Numerical solution of the system of nonlinear Fredholm integro-differential equations by the operational tau method with an error estimation. (English)
[J] Sci. Iran. 14, No. 6, 546-554 (2007). ISSN 1026-3098

Summary: The operational approach to the Tau method is used for the numerical solution of a nonlinear Fredholm integro-differential equations and nonlinear ordinery differential equaions with initial or boundary conditions without linearizing. An efficient error estimation of the approximate solution is also introduced. Some examples are given to clarify the efficiency and high accuracy of the method.

MSC 2000:: *65R20 Integral equations (numerical methods)
45G15 Systems of nonlinear integral equations
45B05 Fredholm integral equations
65L05 Initial value problems for ODE (numerical methods)
65L10 Boundary value problems for ODE (numerical methods)
34B15 Nonlinear boundary value problems of ODE
45J05 Integro-ordinary differential equations
34A34 Nonlinear ODE and systems, general

Keywords: numerical examples; tau method; system; nonlinear Fredholm integro-differential equations; error estimation

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