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2013 Stability and Convergence of an Effective Finite Element Method for Multiterm Fractional Partial Differential Equations
Jingjun Zhao, Jingyu Xiao, Yang Xu
Abstr. Appl. Anal. 2013(SI17): 1-10 (2013). DOI: 10.1155/2013/857205

Abstract

A finite element method (FEM) for multiterm fractional partial differential equations (MT-FPDEs) is studied for obtaining a numerical solution effectively. The weak formulation for MT-FPDEs and the existence and uniqueness of the weak solutions are obtained by the well-known Lax-Milgram theorem. The Diethelm fractional backward difference method (DFBDM), based on quadrature for the time discretization, and FEM for the spatial discretization have been applied to MT-FPDEs. The stability and convergence for numerical methods are discussed. The numerical examples are given to match well with the main conclusions.

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Jingjun Zhao. Jingyu Xiao. Yang Xu. "Stability and Convergence of an Effective Finite Element Method for Multiterm Fractional Partial Differential Equations." Abstr. Appl. Anal. 2013 (SI17) 1 - 10, 2013. https://doi.org/10.1155/2013/857205

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1275.65055
MathSciNet: MR3035313
Digital Object Identifier: 10.1155/2013/857205

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI17 • 2013
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