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

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:63 Issue:2
SOLUTION OF NONLINEAR SINGULAR BOUNDARY VALUE PROBLEMS USING POLYNOMIAL-SINC APPROXIMATION

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

Authors : Maha YOUSSEF, Gerd BAUMANN

Pages : 41-58

Doi:10.1501/Commua1_0000000710

View : 15 | Download : 7

Publication Date : 2014-08-01

Article Type : Research Paper

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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