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

Journal of Applied & Computational Mathematics

article

Hooshm¹  asl M. R¹  Heydari M.H¹  Maalek Ghaini F.M¹ 

[1] Faculty of Mathematics, Yazd University

关键词: Chebyshev wavelets;    Operational matrix of integration;    One-dimensional;    Heat equation;   

DOI  :  10.4172/2168-9679.1000122

来源: Hilaris Publisher

【 摘 要 】

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.

【 授权许可】

Unknown