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An application of Walsh functions for Fredholm-Hammerstein integro-differential equations. (English) Zbl 1207.65164
Summary: A Walsh function method, an expansion method, has been proposed in order to solve the Fredholm-Hammerstein integro-differential equations(FHID). This method transforms the FHID equation with the given conditions into algebraic equations via Newton-Cotes collocation points and operational matrix of integration. The solution of this system yields the Walsh coefficients of the solution function. Some numerical results are also given to illustrative the efficiency of the method.
MSC:
65R20Integral equations (numerical methods)
45G10Nonsingular nonlinear integral equations
45J05Integro-ordinary differential equations