Title of article :
Applying Legendre Wavelet Method with Regularization for a Class of Singular Boundary Value Problems
Author/Authors :
Azizi ، Aram Department of Mathematics - Payame Noor University Tehran , Saeidian ، Jamshid Faculty of Mathematical Sciences and Computer - Kharazmi University , Abdi ، Sarkout Department of sciences and engineering - Islamic Azad University, Marivan Branch
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 illconditioned (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.
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
