Koc, Ayse BetulKurnaz, Aydin2020-03-262020-03-2620131687-2770https://dx.doi.org/10.1186/1687-2770-2013-10https://hdl.handle.net/20.500.12395/29169In 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.en10.1186/1687-2770-2013-10info:eu-repo/semantics/openAccesspartial differential equationspseudospectral-collocation methodmatrix methodunbounded domainsArticleQ3WOS:000315343000002Q1