High Order Difference Schemes for Fractional Parabolic Equations

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61,90 

ISBN: 6139892627
ISBN 13: 9786139892624
Autor: Bayramoglu Erguner, Serife Rabia
Verlag: LAP LAMBERT Academic Publishing
Umfang: 152 S.
Erscheinungsdatum: 27.08.2018
Auflage: 1/2018
Format: 1 x 22 x 15
Gewicht: 244 g
Produktform: Kartoniert
Einband: Kartoniert
Artikelnummer: 5516228 Kategorie:

Beschreibung

This book is devoted to the numerical solution of the fractional parabolic differential equations. A new high order approximation to the Riemann Liouville fractional derivative which is based on the idea of Crank Nicolson method is constructed. High order difference schemes are proposed by using this new high order approximation. The stability analysis of the proposed difference schemes are investigated via three different stability methods. Numerical examples to support the theoretical pretensions about the convergence and stability of the proposed methods are given.

Autorenporträt

The author obtained her PhD degree in Applied Mathematics in 2016 in Turkey. She is a productive and dedicated researcher with 9 publications in peer-reviewed academic journals, 6 conference proceedings and several book chapter translations. Her research areas are Fractional Partial Differential Equations and Numerical Analysis.

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