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

Authors:
Ahniyaz Nurmuhammad;Mayinur Muhammad;Masatake Mori
Affiliations:
Department of Mathematical Sciences, Tokyo Denki University, Hatoyama, Saitama 350-0394, Japan;Department of Mathematical Sciences, Tokyo Denki University, Hatoyama, Saitama 350-0394, Japan;Department of Mathematical Sciences, Tokyo Denki University, Hatoyama, Saitama 350-0394, Japan
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 7
Cited 1

Symmetrization of the Sinc-Galerkin method for boundary value problems

Mathematics of Computation
The Sinc-Galerkin method for fourth-order differential equations

SIAM Journal on Numerical Analysis
Sinc methods for quadrature and differential equations

Sinc methods for quadrature and differential equations
Convergence of the sinc method for a fourth-order ordinary differential equation with an application

SIAM Journal on Numerical Analysis
The double-exponential transformation in numerical analysis

Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. V: quadrature and orthogonal polynomials
Near optimality of the sinc approximation

Mathematics of Computation
Double exponential transformation in the Sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation

Journal of Computational and Applied Mathematics

De-Sinc numerical methods

Proceedings of the 2009 conference on Symbolic numeric computation

Quantified Score

Hi-index	7.29

Visualization

Abstract

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/logN))(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 Sinc-collocation method based on the DE transformation.