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

Yıl 2016, Cilt: 45 Sayı: 5, 1393 - 1410, 01.10.2016

Fernane Khaireddine Ellaggoune Fateh

Öz

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 (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

Anahtar Kelimeler

Block-Pulse Functions, Operational matrix, Volterra integral equations, RHFs, Integro-differential equations

Kaynakça

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