Numerical solution of linear integro-differential equation by using modified Haar wavelets

Authors : Fernane KHAİREDDİNE, Ellaggoune FATEH

Pages : 1393-1410

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Publication Date : 2016-10-01

Article Type : Research Paper

Abstract :In this paper, we introduce a numerical method for solving linear Fredholm integro-differential equations of the first order. To solve these equations, we consider the equation solution approximately from rationalized Haar insert ignore into journalissuearticles values(RH); functions. The numerical solution of a linear integro-differential equation reduces to solving a linear system of algebraic equations. Also, Some numerical examples are presented to illustrate the efficiency of the method
Keywords : Block Pulse Functions, Operational matrix, Volterra integral equations, RHFs, Integro differential equations