| Abstract |
Article Information:
A review of time discretization of semi-linear parabolic problems
Zainal Abdul Aziz, Nazeeruddin Yaacob, Mohammadreza AskaripourLahiji, Mahdi Ghanbari
Corresponding Author: Mahdi Ghanbari
Key words: Exponential integrators, exponential quadrature rules, Range-kutta methods, schrödinger equation, semi-linear parabolic problems, ,
Vol. 4 , (19): 3539-3543 |
| Submitted |
Accepted |
Published |
| January 03, 2012 |
February 09, 2012 |
October 01, 2012 |
In this study, exponentialRunge-Kutta methods of collocation type are considered for linear and
semi-linear parabolic problems. An abstract Banach space framework of sectorial operators and Lipchitz
continuous nonlinearities are selected for the analysis. Exponential Runge-Kutta methods of collocation type
are also employed for parabolic Cauchy problems. Moreover, numerical experiments have been presented for
illustration of parabolic problems. |
Cite this Reference:
Zainal Abdul Aziz, Nazeeruddin Yaacob, Mohammadreza AskaripourLahiji, Mahdi Ghanbari, 2012. A review of time discretization of semi-linear parabolic problems.
Research Journal of Applied Sciences, Engineering and Technology, 4(19): 3539-3543. |
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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