SOLUTION OF NONLINEAR SINGULAR BOUNDARY VALUE PROBLEMS USING POLYNOMIAL-SINC APPROXIMATION

Abstract

A new highly accurate algorithm for the solution of nonlinear sin- gular boundary value problems for ordinary differential equations is presented. The algorithm uses a collocation technique based on polynomial approxima- tion at Sinc points. The scheme is tested for some nonlinear singular boundary value problems showing an exponential convergence rate. The examples are of second and higher order singular, nonlinear boundary value problems. For each example the error formula of the approximation is discussed and verified in a comparison of the analytic solution.