Alternative methods for solving nonlinear two-point boundary value problems

被引：2

作者：

Ghomanjani, Fateme ^{[1
]}

Shateyi, Stanford ^{[2
]}

机构：

[1] Kashmar Higher Educ Inst Kashmar, Dept Math, Kashmar, Iran

[2] Univ Venda, Dept Math, P Bag X5050, ZA-0950 Thohoyandou, South Africa

来源：

OPEN PHYSICS | 2018年 / 16卷 / 01期

关键词：

Nonlinear boundary value problems; orthonormal Bernstein; EQUATIONS;

D O I：

10.1515/phys-2018-0050

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this sequel, the numerical solution of nonlinear two-point boundary value problems (NTBVPs) for ordinary differential equations (ODEs) is found by Bezier curve method (BCM) and orthonormal Bernstein polynomials (OBPs). OBPs will be constructed by Gram-Schmidt technique. Stated methods are more easier and applicable for linear and nonlinear problems. Some numerical examples are solved and they are stated the accurate findings.

引用

页码：371 / 374

页数：4

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