High Order Difference Schemes for Fractional Parabolic Equations
(Sprache: Englisch)
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...
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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.
Autoren-Porträt von Serife Rabia Bayramoglu Erguner
Bayramoglu Erguner, Serife RabiaThe 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.
Bibliographische Angaben
- Autor: Serife Rabia Bayramoglu Erguner
- 2018, 152 Seiten, Maße: 22 cm, Kartoniert (TB), Englisch
- Verlag: LAP Lambert Academic Publishing
- ISBN-10: 6139892627
- ISBN-13: 9786139892624
Sprache:
Englisch
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