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Volume 7, Issue 3
A Second Kind Chebyshev Polynomial Approach for the Wave Equation Subject to an Integral Conservation Condition

Somayeh Nemati and Yadollah Ordokhani

J. Info. Comput. Sci. , 7 (2012), pp. 163-171.

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  • 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.
  • Keywords

Wave equation, Non-local condition, Second kind Chebyshev polynomials, Operational matrix, Matrix form.

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COPYRIGHT: © Global Science Press

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@Article{JICS-7-163, author = {Somayeh Nemati and Yadollah Ordokhani}, title = {A Second Kind Chebyshev Polynomial Approach for the Wave Equation Subject to an Integral Conservation Condition}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {7}, number = {3}, pages = {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. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22639.html} }
TY - JOUR T1 - A Second Kind Chebyshev Polynomial Approach for the Wave Equation Subject to an Integral Conservation Condition AU - Somayeh Nemati and Yadollah Ordokhani JO - Journal of Information and Computing Science VL - 3 SP - 163 EP - 171 PY - 2024 DA - 2024/01 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22639.html KW - Wave equation, Non-local condition, Second kind Chebyshev polynomials, Operational matrix, Matrix form. AB - 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.
Somayeh Nemati and Yadollah Ordokhani. (2024). A Second Kind Chebyshev Polynomial Approach for the Wave Equation Subject to an Integral Conservation Condition. Journal of Information and Computing Science. 7 (3). 163-171. doi:
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