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Numerical solution of integro-differential equations by using rationalized Haar functions method. (English) Zbl 1160.45303
Summary: The purpose of this paper is to develop rationalized Haar functions to approximate the solutions of the integro-differential equations. Properties of rationalized Haar functions are first presented, and the operational matrix of the product of two rationalized Haar functions vector is utilized to reduce the computation of integro-differential equations to some algebraic equations. Numerical results support the theoretical results.
MSC:
45J05Integro-ordinary differential equations
65T60Wavelets (numerical methods)