Euler wavelet based numerical scheme for the solutions of parabolic partial differential equations

Abstract

Many physical problems when analysed assumes the form of a partial differential equations. Recently wavelet transforms serves as a very useful tool in solving partial differential equations. In this paper, we proposed an efficient numerical scheme based on Euler wavelets for the solutions of parabolic partial differential equations. Some Illustrative examples are included to demonstrate the validity and applicability of the proposed scheme. Numerical findings of the problems with both initial and boundary conditions shows the efficiency and accuracy of the present scheme.