Solution of nonlinear singular boundary value problems using polynomial-sinc approximation

Year 2014, Volume: 63 Issue: 2, 41 - 58, 01.08.2014

Maha Youssef Gerd Baumann

https://doi.org/10.1501/Commua1_0000000710

Cited By: 2

Abstract

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

Abstract

A new highly accurate algorithm for the solution of nonlinear singular boundary value problems for ordinary differential equations is presented.The algorithm uses a collocation technique based on polynomial approximation at Sinc points. The scheme is tested for some nonlinear singular boundaryvalue problems showing an exponential convergence rate. The examples areof second and higher order singular, nonlinear boundary value problems. Foreach example the error formula of the approximation is discussed and verifiledin a comparison of the analytic solution

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• Current address : Maha Youssef :Mathematics Department, Faculty of Basic Science, German
• University in Cairo, New Cairo City 11835, Egypt
• E-mail address : [e-mail]
• Current address : University of Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany