Numerical solution of singular boundary value problems using Green’s function and Sinc-Collocation method

Abstract

This study is the construction of the Green’s function and Sinc function for a class of nonhomogeneous singular boundary value problems (SBVPs). The equivalent Volterra-Fredholm integral equations can be derived from SBVPs by applying Green’s function. This can be approximated by Sinc-Collocation method. Convergence analysis is given. Our approach applied on three various examples. Errors in the solution are demonstrated in the tables. We conclude that our approach converge rapidly with the exponential order.

Keywords

• 65L10
• 65L60
• 65R20
• 45B05
• 45D05