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Ebadi, G.; Rahimi-Ardabili, M. Y.; Shahmorad, S.

Numerical solution of the nonlinear Volterra integro-differential equations by the tau method. (English) Zbl 1119.65123

Appl. Math. Comput. 188, No. 2, 1580-1586 (2007).
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.

Cited in 20 Documents

MSC:

65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations

Keywords:

operational approach to the tau method; nonlinear Volterra integro-differential equations; numerical examples; error estimation
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\textit{G. Ebadi} et al., Appl. Math. Comput. 188, No. 2, 1580--1586 (2007; Zbl 1119.65123)
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References:

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