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LEIBNITZ - HAAR WAVELET COLLOCATION METHOD FOR THE NUMERICAL SOLUTION OF NONLINEAR FREDHOLM INTEGRAL EQUATIONS

Journal: International Journal of Engineering Sciences & Research Technology (IJESRT) (Vol.5, No. 9)

Publication Date:

Authors : ; ;

Page : 264-273

Keywords : Operational Matrix; Leibnitz - Haar Wavelet Collocation Method (LHWCM); Nonlinear Fredholm Integral Equations;

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Abstract

In this work, we present a numerical solution of nonlinear fredholm integral equations using Leibnitz - Haar wavelet collocation method . Properties of haar wavelet and its operational matrix is utilized to convert into a system of algebraic equations, s olving these equations using MATLAB to compute the required Haar coefficients. The numerical result of the proposed method is presented in comparison with the solutions given in the literature [3, 18 & 19] of the illustrative examples. Error analysis is worked out, which shows the efficiency of the method

Last modified: 2016-09-16 18:15:10