Sinc-Galerkin method based on the DE transformation for the boundary value problem of fourth-order ODE

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:206

Article

Nurmuhammad, Ahniyaz ; Muhammad, Mayinur ; Mori, Masatake

关键词: DE formula;    double exponential transformation;    sinc-collocation method;    boundary value problem;    ODE;   

DOI  :  10.1016/j.cam.2006.05.019

来源: Elsevier

【 摘 要 】

In this paper a Sinc-Galerkin method incorporated with the double exponential transformation (abbreviated as the DE transformation) for the two-point boundary value problem of fourth-order ordinary differential equation is considered. In this method the error bound O(exp(-c ' N/ log N)) (c ' > 0) is attained as in the Sinc-collocation method based on the DE transformation where N is a parameter representing the number of terms in the Sinc approximation. High efficiency of the Sinc-Galerkin method with the DE transformation is confirmed by some numerical examples and the numerical results were compared with ones obtained by Si nc-col location method based on the DE transformation. (c) 2006 Elsevier B.V. All rights reserved.

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