A Finite Element Method with Second-order θ Scheme for Nonlinear Time Distributed-order Coupled Sub-diffusion System
A finite element method(FEM)based on second-order θ scheme is presented to solve a nonlinear time distributed-order coupled sub-diffusion system.The second-order θ scheme combined with the numerical quadrature formula is used for the time dis-tributed-order dericative.Then the finite element fully discrete scheme is obtained.The stability and error estimates for two func-tions u and v are derived.Some numerical examples are provided to indicate the efficiency of our schemes.
Time distributed-order coupled sub-diffusion systemSecond-order θ schemeStabilityError estimatesNumerical simulation
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