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

Author

Maalek Ghaini F.M, Heydari M.H, asl M. R, and Hooshm

Subjects
Chebyshev polynomials, symbols.namesake, Dirichlet boundary condition, Chebyshev pseudospectral method, Mathematical analysis, symbols, Chebyshev iteration, Heat equation, Chebyshev nodes, Chebyshev equation, Chebyshev filter, Mathematics
Abstract

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.

Published
2012

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