A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type

作者：Heydari M H^*; Hooshmandasl M R; Ghaini F M Maalek

来源：Applied Mathematical Modelling, 2014, 38(5-6): 1597-1606.

DOI：10.1016/j.apm.2013.09.013

• Partial differential equations
• Chebyshev wavelets
• Operational matrix of integration
• Operational matrix of differentiation
• Telegraph equation

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.

• 出版日期2014-3-1