Applying Legendre Wavelet Method with Regularization for a Class of Singular Boundary Value Problems

被引：1

作者：

Azizi, Aram ^{[1
]}

Saeidian, Jamshid ^{[2
]}

Abdi, Sarkout ^{[3
]}

机构：

[1] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran

[2] Kharazmi Univ, Fac Math Sci & Comp, 50 Taleghani Ave, Tehran 1561836314, Iran

[3] Islamic Azad Univ, Branch, Dept Sci & Engn, Marivan, Kordestan, Iran

来源：

IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2016年 / 11卷 / 02期

关键词：

Ordinary differential equation; Boundary value problem; Singular equations; Legendre wavelet bases;

D O I：

10.7508/ijmsi.2016.02.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper Legendre wavelet bases have been used for finding approximate solutions to singular boundary value problems arising in physiology. When the number of basis functions are increased the algebraic system of equations would be ill-conditioned (because of the singularity), to overcome this for large M, we use some kind of Tikhonov regularization. Examples from applied sciences are presented to demonstrate the efficiency and accuracy of the method.

引用

页码：57 / 69

页数：13

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