Single-term Walsh series method for the Volterra integro-differential equations. (English) Zbl 1081.65551

Sepehrian, B.; Razzaghi, M.

Eng. Anal. Bound. Elem. 28, No. 11, 1315-1319 (2004).

Summary: A method for the solution of Volterra integro-differential equations by using single-term Walsh series is presented. Properties of single-term Walsh series are utilized to reduce the computation of Volterra integro-differential equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples.

MSC:

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

Keywords:

Volterra integro-differential equations; single-term Walsh series; numerical examples

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