An Chen1, *
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 917-939, 2020, DOI:10.32604/cmes.2020.09224
Abstract In this paper, two classes of Riesz space fractional partial differential equations
including space-fractional and space-time-fractional ones are considered. These two
models can be regarded as the generalization of the classical wave equation in two
space dimensions. Combining with the Crank-Nicolson method in temporal direction,
efficient alternating direction implicit Galerkin finite element methods for solving these two
fractional models are developed, respectively. The corresponding stability and convergence
analysis of the numerical methods are discussed. Numerical results are provided to verify
the theoretical analysis. More >
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