New Scale-3 Haar Wavelets Algorithm for Numerical Simulation of Second Order Ordinary Differential Equations

This paper deals with the new perspective of Haar wavelet transform with essential idea of scale-3 Haar wavelets. Scale-3 Haar wavelet-based algorithm has been extended to find numerical approximations of second order initial and boundary value problems. Error estimates of the proposed method along side of different kind test cases are given to test the convergence and accuracy of the method. From the error bound of Scale-3 Haar wavelets we conclude that it converges rapidly as compare to scale-2 Haar wavelets and gives excellent results comparative of other methods.