NUMERICAL SOLUTION OF LINEAR FREDHOLM INTEGRAL EQUATIONS SYSTEM BY LINEAR LEGENDRE MULTI-WAVELETS

A new computational method based on Linear Legendre multi-wavelets is proposed for solution of the system of Linear Fredhlom integral equation.For this an operational matrix of integration for Linear Legendre multi-wavelets is obtained.Using approximation of Linear Legendre multi-wavelets method, the system of Linear Fredhlom integral equation is reduced to algebraic equations which can be solved simply to obtain an approximate solution.Further, Illustrative examples are produced below to show the applicability and accuracy of the technique.Comparison of outcome has been done with Rational Haar wavelet and it shows that the accuracy of these results is higher.