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

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.


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


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