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Zbl 1119.65123
Ebadi, G.; Rahimi-Ardabili, M.Y.; Shahmorad, S.
Numerical solution of the nonlinear Volterra integro-differential equations by the tau method. (English)
[J] Appl. Math. Comput. 188, No. 2, 1580-1586 (2007). ISSN 0096-3003

Summary: We use the operational approach to the tau method for solving nonlinear Volterra integro-differential equations with analytic function coefficients with initial or boundary conditions. We do this without linearizing the nonlinear terms. We introduce an error estimation of the method. We give some examples to clarify the efficiency and high accuracy of the method.

MSC 2000:: *65R20 Integral equations (numerical methods)
45J05 Integro-ordinary differential equations
45G10 Nonsingular nonlinear integral equations

Keywords: operational approach to the tau method; nonlinear Volterra integro-differential equations; numerical examples; error estimation

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Zentralblatt MATH Berlin [Germany]