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Article
Numerical simulations based on shifted second-order difference/finite element algorithms for the time fractional Maxwell’s system
In this article, mixed element algorithms with second-order time convergence results for the two-dimensional time fractional Maxwell’s equations in the Cole–Cole dispersive medium are developed. Fully discrete...
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Article
Mixed element algorithm based on a second-order time approximation scheme for a two-dimensional nonlinear time fractional coupled sub-diffusion model
In this article, a numerical algorithm is presented to solve a two-dimensional nonlinear time fractional coupled sub-diffusion problem, where the second-order Crank–Nicolson scheme with a second-order WSGD for...
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Article
Generalized analytical solution to wave interaction with submerged multi-layer horizontal porous plate breakwaters
A generalized analytical solution to wave interaction with multi-layer submerged horizontal porous plate breakwaters has been derived in the context of linear potential theory. A two-dimensional problem with N ho...
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Article
A coupling method based on new MFE and FE for fourth-order parabolic equation
In this article, a coupling method of new mixed finite element (MFE) and finite element (FE) is proposed and analyzed for fourth-order parabolic partial differential equation. First, the fourth-order parabolic...