Sinc-Galerkin method for solving nonlinear weakly singular two point boundary value problems

ABSTRACT

A study of Sinc-Galerkin method based on double exponential transformation for solving a class of nonlinear weakly singular two point boundary value problems with non-homogeneous boundary conditions is given. The properties of the Sinc-Galerkin approach are utilized to reduce the computation of nonlinear problem to nonlinear system of equations with unknown coefficients. This method tested on several test examples. We compare our numerical results with several numerical results of existing methods. The demonstrated results confirm that proposed method is considerably efficient, accurate nature and rapidly converge.

KEYWORDS:

• Sinc-Galerkin method
• double exponential transformation
• nonlinear singular boundary value problems
• ODE

2000 AMS SUBJECT CLASSIFICATIONS:

• 65L10
• 65L60
• 65H10
• 41A30

Disclosure statement

No potential conflict of interest was reported by the authors.