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

Author(s):

A. Azizi , J. Saeidian , S. Abdi

Abstract:
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.
Keywords:

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

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:11 Issue: 2, Nov 2016
Pages:
57 to 69
https://www.magiran.com/p1601375