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
10.61186/ijmsi
14
8888
13
en
jalali
1396
6
1
gregorian
2017
9
1
12
2
online
1
fulltext
en
A Third-degree B-spline Collocation Scheme for Solving a Class of the Nonlinear Lane–-Emden Type Equations
عمومى
General
پژوهشي
Research paper
<br>
<p></p>
<p>In this paper, we use a numerical method involving collocation method with third B-splines as basis functions for solving a class of singular initial value problems (IVPs) of Lane--Emden type equation. The original differential equation is modified at the point of singularity. The modified problem is then treated by using B-spline approximation. In the case of non-linear problems, we first linearize the equation using quasilinearization technique and the resulting problem is solved by a third degree B-spline function. Some numerical examples are included to demonstrate the feasibility and the efficiency of the proposed technique. The method is easy to implement and produces accurate results. The numerical results are also found to be in good agreement with the exact solutions.</p>
B-spline, Collocation method, Lane--Emden equation, Singular IVPs.
15
34
http://ijmsi.ir/browse.php?a_code=A-10-1074-1&slc_lang=en&sid=1
Z.
Parsaeitabar
parsaee.z@gmail.com
10031947532846004801
10031947532846004801
No
Shahrood University
A. R.
Nazemi
nazemi20042003@yahoo.com
10031947532846004802
10031947532846004802
Yes
Shahrood University