international journal of industrial Engineering & Production Research
نشریه بین المللی مهندسی صنایع و تحقیقات تولید
IJIEPR
Engineering & Technology
http://ijiepr.iust.ac.ir
18
agent2
2008-4889
2345-363X
en
jalali
1387
5
1
gregorian
2008
8
1
19
6
online
1
fulltext
en
On the Numerical Solution of One Dimensional Schrodinger Equation with Boundary Conditions Involving Fractional Differential Operators
و موضوعات مربوط
Other Related Subject
پژوهشي
Research
<p>In this paper we study of collocation method with Radial Basis Function to solve one dimensional time dependent Schrodinger equation in an unbounded domain. To this end, we introduce artificial boundaries and reduce the original problem to an initial boundary value problem in a bounded domain with transparent boundary conditions that involves half order fractional derivative in t. Then in three stages we use the Laplace Transform method, the collocation method and finally the Legender expansion method. Numerical examples are given to show the effectiveness of the scheme<em>. </em></p>
The Schrodinger equation, Collocation method, Radial Basis Function, Fractional derivative boundary condition, Legendre expansion method
21
26
http://ijiepr.iust.ac.ir/browse.php?a_code=A-10-1-96&slc_lang=en&sid=1
B.
Jazbi
. jazbi @iust.ac.ir
18003194753284600579
18003194753284600579
Yes
M.
Moini
m-moini@iust.ac.ir.
18003194753284600651
18003194753284600651
No