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A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type
Institution:Faculty of Mathematics, Yazd University, Yazd 89195741, Iran
Abstract:In this paper, we develop an accurate and efficient Chebyshev wavelets method for solution of partial differential equations with boundary conditions of the telegraph type. In the proposed method we have employed mutually the operational matrices of integration and differentiation to get numerical solutions of such equations. The power of this manageable method is confirmed. Moreover the use of Chebyshev wavelet is found to be accurate, simple and fast.
Keywords:Partial differential equations  Chebyshev wavelets  Operational matrix of integration  Operational matrix of differentiation  Telegraph equation
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