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X. F. Yang, Y. X. Liu and S. Bai, “A Numerical Solution of Second-Order Linear Partial Differential Equations by Differential Transform,” Journal of Applied Mathematics and Computing, Vol. 173, No. 2, 2006, pp. 792-802. doi:10.1016/j.amc.2005.04.015

has been cited by the following article:

• TITLE: On Approximate Solutions of Second-Order Linear Partial Differential Equations

  AUTHORS: Yousry S. Hanna

  KEYWORDS: Chebyshev Polynomial; Differential Equations; Polynomial Approximation

  JOURNAL NAME: Applied Mathematics, Vol.3 No.9, September 27, 2012

  ABSTRACT: In this paper, a Chebyshev polynomial approximation for the solution of second-order partial differential equations with two variables and variable coefficients is given. Also, Chebyshev matrix is introduced. This method is based on taking the truncated Chebyshev expansions of the functions in the partial differential equations. Hence, the result matrix equation can be solved and approximate value of the unknown Chebyshev coefficients can be found.