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Abstract
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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:
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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.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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