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     Research Journal of Applied Sciences, Engineering and Technology

    Abstract
2012(Vol.4, Issue:19)
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 
Submitted: January 03, 2012
Accepted: February 09, 2012
Published: October 01, 2012
Abstract:
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.

Key words:  Exponential integrators, exponential quadrature rules, Range-kutta methods, schrödinger equation, semi-linear parabolic problems, ,
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Cite this Reference:
Zainal Abdul Aziz, Nazeeruddin Yaacob, Mohammadreza AskaripourLahiji, Mahdi Ghanbari, . A review of time discretization of semi-linear parabolic problems. Research Journal of Applied Sciences, Engineering and Technology, (19): 3539-3543.
ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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