Numerical Solution of System of Boundary Value Problems using B-Spline with Free Parameter

被引：1

作者：

Gupta, Yogesh ^{[1
]}

机构：

[1] Jaypee Inst Informat Technol, Noida 201307, India

来源：

MATHEMATICAL SCIENCES AND ITS APPLICATIONS | 2017年 / 1802卷

关键词：

NONLINEAR-SYSTEM;

D O I：

10.1063/1.4973256

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with method of B-spline solution for a system of boundary value problems. The differential equations are useful in various fields of science and engineering. Some interesting real life problems involve more than one unknown function. These result in system of simultaneous differential equations. Such systems have been applied to many problems in mathematics, physics, engineering etc. In present paper, B-spline and B-spline with free parameter methods for the solution of a linear system of second-order boundary value problems are presented. The methods utilize the values of cubic B-spline and its derivatives at nodal points together with the equations of the given system and boundary conditions, ensuing into the linear matrix equation.

引用

页数：5

共 5 条

[1]

Gamel M. E., 2012, SCI RES, V3, P1627

[2] Solving a nonlinear system of second order boundary value problems [J].