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
10.29252/ijmsi
14
8888
13
en
jalali
1392
2
1
gregorian
2013
5
1
8
1
online
1
fulltext
en
Application of Collocation Method in Finding Roots
عمومى
General
پژوهشي
Research paper
<p>In this paper we present a new method to find simple or multiple roots of functions in a finite interval. In this method using bisection method we can find an interval such that this function is one to one on it, thus we can transform problem of finding roots in this interval into an ordinary differential equation with boundary conditions. By solving this equation using collocation method we can find a root for given function in the special interval. We also present convergence analysis of the new method. Finally some examples are given to show efficiency of the presented method.</p>
Finding root, Collocation method, Jacobi polynomial, Boundary value equation, Convergence.
91
104
http://ijmsi.ir/browse.php?a_code=A-10-1-129&slc_lang=en&sid=1
M. R.
Eslahchi
`10031947532846002240`

10031947532846002240
Yes
M.
Parvizi
`10031947532846002241`

10031947532846002241
No