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Open Access Research

A new kind of double Chebyshev polynomial approximation on unbounded domains

Ayşe Betül Koç* and Aydın Kurnaz

Author affiliations

Department of Mathematics, Faculty of Science, Selcuk University, Konya, Turkey

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Citation and License

Boundary Value Problems 2013, 2013:10  doi:10.1186/1687-2770-2013-10

Published: 22 January 2013

Abstract

In this study, a new solution scheme for the partial differential equations with variable coefficients defined on a large domain, especially including infinities, has been investigated. For this purpose, a spectral basis, called exponential Chebyshev (EC) polynomials, has been extended to a new kind of double Chebyshev polynomials. Many outstanding properties of those polynomials have been shown. The applicability and efficiency have been verified on an illustrative example.

MSC: 35A25.

Keywords:
partial differential equations; pseudospectral-collocation method; matrix method; unbounded domains