F. Cases, “Solution of Linear Partial Differential Equations by Lie Algebraic Methods,” Journal of Computational and Applied Mathematics, Vol. 76, No. 1-2, 1996, pp. 159-170.
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.