Stability and Convergence of an Effective Finite Element Method for Multiterm Fractional Partial Differential Equations
Keyword(s):
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.
2011 ◽
Vol 14
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2009 ◽
Vol 78
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pp. 25-25
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1983 ◽
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pp. 283-295
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1992 ◽
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pp. 583-592
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1986 ◽
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pp. 3-26
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2015 ◽
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pp. 101-115
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2009 ◽
Vol 135
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pp. 1877-1889
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