Numerical solution of singular boundary value problems with logarithmic singularities by Pade approximation and collocation methods

被引：5

作者：

Allouche, Hassane ^{[1
]}

Tazdayte, Abderrahim ^{[1
]}

机构：

[1] Moulay Ismail Univ, Fac Sci, Dept Math & Comp Sci, BP 11 201, Zitoune, Meknes, Morocco

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 311卷

关键词：

Singularity; Boundary value problems; B-spline; Pade approximation; Superposed Pade approximation; INITIAL-VALUE PROBLEMS; DIFFERENCE METHOD; CUBIC SPLINE; B-SPLINE;

D O I：

10.1016/j.cam.2016.08.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a method using quintic B-spline and Fade approximation for numerically solving singular boundary value problems, for certain ordinary differential equation having singular coefficient, we use the modified quintic B-spline to approximate the first coefficients in the Taylor expansion, on which all the other coefficients depend. Moreover, we introduce the superposed Fade approximation. The resulting perturbed initial value problem is then efficiently treated. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：324 / 341

页数：18

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