Variable Mesh Polynomial Spline Discretization for Solving Higher Order Nonlinear Singular Boundary Value Problems

被引：5

作者：

Nayak, Sucheta ^{[1
,2
]}

Khan, Arshad ^{[2
]}

机构：

[1] Univ Delhi, Lady Shri Ram Coll Women, Dept Math, New Delhi 24, India

[2] Jamia Millia Islamia, Dept Math, New Delhi 25, India

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2020年 / 28卷 / 03期

关键词：

Singular; Cubic spline; Nonlinear; Variable mesh; NUMERICAL-SOLUTION; 4TH;

D O I：

10.1007/s12591-020-00515-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, two generalized variable mesh finite difference schemes based on cubic spline has been developed to solve the system of nonlinear singular boundary value problems. The suggested methods are pertinent to singular boundary value problem and are of second and third order. Numerical examples are provided to prove the precision and competence of the schemes.

引用

页码：617 / 631

页数：15

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