Finite Element Solutions for the Space Fractional Diffusion Equation with a Nonlinear Source Term

We consider finite element Galerkin solutions for the space fractional diffusion equation with a nonlinear source term. Existence, stability, and order of convergence of approximate solutions for the backward Euler fully discrete scheme have been discussed as well as for the semidiscrete scheme. The...

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Bibliographic Details
Main Authors: Y. J. Choi, S. K. Chung
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/596184