Numerical Solution of Integral Equations using Haar Wavelet

Haar wavelet collocation method(HWCM) is applied to obtain the numerical solution of integral and integro-differential equations. Applications of the Haar wavelet collocation method based on Leibnitz rule. The Haar wavelet function and its operational matrix were employed to solve the resultant integral and integro-differential equations. The numerical results are obtained by the proposed method have been compared with existing method. The conversion of integral and integro-differential equation into equivalent differential equation with initial conditions and then reduces to a system of algebraic equations. An advantage of Haar wavelet is accurate, approximate solutions by computation round off errors and it is not necessity of large computer memory and time. It is also ability to solve other mathematical, physical, and engineering problems. Illustrative examples are tested clearly to check the validity and applicability of the technique and error analysis.