An efficient computer application of the sinc-Galerkin approximation for nonlinear boundary value problemsReportar como inadecuado




An efficient computer application of the sinc-Galerkin approximation for nonlinear boundary value problems - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Boundary Value Problems

, 2012:117

Recent Trends on Boundary Value Problems and Related Topics

Abstract

A powerful technique based on the sinc-Galerkin method is presented for obtaining numerical solutions of second-order nonlinear Dirichlet-type boundary value problems BVPs. The method is based on approximating functions and their derivatives by using the Whittaker cardinal function. Without any numerical integration, the differential equation is reduced to a system of algebraic equations via new accurate explicit approximations of the inner products; therefore, the evaluation is based on solving a matrix system. The solution is obtained by constructing the nonlinear or linear matrix system using Maple and the accuracy is compared with the Newton method. The main aspect of the technique presented here is that the obtained solution is valid for various boundary conditions in both linear and nonlinear equations and it is not affected by any singularities that can occur in variable coefficients or a nonlinear part of the equation. This is a powerful side of the method when being compared to other models.

KeywordsMaple sinc-Galerkin approximation sinc basis function nonlinear matrix system Newton method Electronic supplementary materialThe online version of this article doi:10.1186-1687-2770-2012-117 contains supplementary material, which is available to authorized users.

Download fulltext PDF



Autor: Aydin Secer - Muhammet Kurulay - Mustafa Bayram - Mehmet Ali Akinlar

Fuente: https://link.springer.com/







Documentos relacionados