Rational Chebyshev functions with new collocation points in semi-infinite domains for solving higher-order linear ordinary differential equations

Authors

  • Mohamed Abdel -Latif Ramadan Menoufia University

DOI:

https://doi.org/10.24297/jam.v11i7.1218

Keywords:

Keywords- Rational Chebyshev functions, higher-order ordinary differential equations, rational Chebyshev collocation method.

Abstract

The purpose of this paper is to investigate the use of rational Chebyshev (RC) functions for solving higher-order linear ordinary differential equations with variable coefficients on a semi-infinite domain using new rational Chebyshev collocation points.  This method transforms the higher-order linear ordinary differential equations and the given conditions to matrix equations with unknown rational Chebyshev coefficients. These matrices together with the collocation method are utilized to reduce the solution of higher-order ordinary differential equations to the solution of a system of algebraic equations. The solution is obtained in terms of RC series. Numerical examples are given to demonstrate the validity and applicability of the method. The obtained numerical results are compared with others existing methods and the exact solution where it shown to be very attractive and maintains better accuracy.

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Published

2015-11-07

How to Cite

Ramadan, M. A. .-L. (2015). Rational Chebyshev functions with new collocation points in semi-infinite domains for solving higher-order linear ordinary differential equations. JOURNAL OF ADVANCES IN MATHEMATICS, 11(7), 5403–5410. https://doi.org/10.24297/jam.v11i7.1218

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Articles