A Second Kind Chebyshev Polynomial Approach for the Wave Equation Subject to an Integral Conservation Condition
Year: 2012
Journal of Information and Computing Science, Vol. 7 (2012), Iss. 3 : pp. 163–171
Abstract
The main purpose of this article is to present an approximate solution for the one dimensional wave equation subject to an integral conservation condition in terms of second kind Chebyshev polynomials. The operational matrices of integration and derivation are introduced and utilized to reduce the wave equation and the conditions into the matrix equations which correspond to a system of linear algebraic equations with unknown Chebyshev coefficients. Finally, some examples are presented to illustrate the applicability of the method.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22639
Journal of Information and Computing Science, Vol. 7 (2012), Iss. 3 : pp. 163–171
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9