Title | ||
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A New Finite Element Analysis for Inhomogeneous Boundary-Value Problems of Space Fractional Differential Equations |
Abstract | ||
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In this paper the framework and convergence analysis of finite element methods (FEMs) for space fractional differential equations (FDEs) with inhomogeneous boundary conditions are studied. Since the traditional framework of Gakerkin methods for space FDEs with homogeneous boundary conditions is not true any more for the case of inhomogeneous boundary conditions, this paper develops a technique by introducing a new fractional derivative space in which the Galerkin method works and proves the convergence rates of the FEMs. |
Year | DOI | Venue |
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2017 | 10.1007/s10915-015-0082-8 | J. Sci. Comput. |
Keywords | Field | DocType |
Fractional differential equations, Galerkin methods, Finite element methods, Convergence analysis, 35S15, 65N30, 65N12, 65N15 | Discontinuous Galerkin method,Differential equation,Boundary value problem,Mathematical optimization,Mathematical analysis,Galerkin method,Extended finite element method,Numerical partial differential equations,Finite element method,Fractional calculus,Mathematics | Journal |
Volume | Issue | ISSN |
70 | 1 | 1573-7691 |
Citations | PageRank | References |
0 | 0.34 | 8 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jingtang Ma | 1 | 120 | 12.98 |