A new kind of double Chebyshev polynomial approximation on unbounded domains

作者：Koc Ayse Betul^*; Kurnaz Aydin

来源：Boundary Value Problems, 2013, 2013(1): 10.

DOI：10.1186/1687-2770-2013-10

• partial differential equations
• pseudospectral-collocation method
• matrix method
• unbounded domains

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.

• 出版日期2013