A new kind of double Chebyshev polynomial approximation on unbounded domains
Department of Mathematics, Faculty of Science, Selcuk University, Konya, Turkey
Boundary Value Problems 2013, 2013:10 doi:10.1186/1687-2770-2013-10Published: 22 January 2013
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.