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On Approximate Solutions of Second-Order Linear Partial Differential Equations
National Research Institute of Astronomy and Geophysics, Helwan, Egypt
- 1 National Research Institute of Astronomy and Geophysics, Helwan, Egypt
Applied Mathematics·Volume 03 (2012)·Pages 1001–1007·Published 27 September 2012·DOI10.4236/am.2012.39148
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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.
KeywordsChebyshev PolynomialDifferential EquationsPolynomial Approximation
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