Журнал прикладной и вычислительной математики

Numerical Solution of the One-Dimensional Heat Equation by Using Chebyshev Wavelets Method

Abstract

Hooshmandasl M. R, Heydari M.H and Maalek Ghaini F.M

In this paper, we develop an efficient Chebyshev wavelet method for well-known one-dimensional heat equation. In the proposed method we applied operational matrices of integration to get numerical solution of the onedimensional heat equation with Dirichlet boundary conditions. The power of this manageable method is confirmed. Moreover the use of Chebyshev wavelet is found to be accurate, simple and fast.