Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61882/ijmsi
14
8888
13
en
jalali
1395
8
1
gregorian
2016
11
1
11
2
online
1
fulltext
en
Applying Legendre Wavelet Method with Regularization for a Class of Singular Boundary Value Problems
عمومى
General
كاربردي
Applicable
<p style="margin: 0px; text-indent: 0px; text-align: justify;">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.</p>
Ordinary differential equation, Boundary value problem, Singular equations, Legendre wavelet bases.
57
69
http://ijmsi.ir/browse.php?a_code=A-10-503-1&slc_lang=en&sid=1
A.
Azizi
a.azizi@pnu.ac.ir
10031947532846003952
10031947532846003952
Yes
DepartmentofMathematics,PayameNoorUniversityTehran
J.
Saeidian
10031947532846003953
10031947532846003953
No
FacultyofMathematicalSciencesandComputer,KharazmiUniversity
S.
Abdi
10031947532846003954
10031947532846003954
No
Departmentofsciencesand engineering,Marivan Branch,Islamic Azad University,M