An optimized Crank-Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation (Q1716377)

scientific article; zbMATH DE number 7012058

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English	An optimized Crank-Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation	scientific article; zbMATH DE number 7012058

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instance of

scholarly article

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title

An optimized Crank-Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation (English)

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published in

Advances in Difference Equations

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publication date

4 February 2019

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zbMATH Keywords

existence

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stabilization

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convergence

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author

Yan Jie Zhou

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Zhendong Luo

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describes a project that uses

redbKIT

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1186/s13662-018-1939-6

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cites work

Solving nonlinear fractional partial differential equations using the homotopy analysis method

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A reduced-order extrapolating Crank-Nicolson finite difference scheme for the Riesz space fractional order equations with a nonlinear source function and delay

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Q5014963

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Numerical study of the process of nonlinear supratransmission in Riesz space-fractional sine-Gordon equations

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A Crank-Nicolson finite difference scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation

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Principal component analysis.

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Galerkin proper orthogonal decomposition methods for parabolic problems

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Some reduced finite difference schemes based on a proper orthogonal decomposition technique for parabolic equations

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A reduced finite volume element formulation and numerical simulations based on POD for parabolic problems

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A reduced FVE formulation based on POD method and error analysis for two-dimensional viscoelastic problem

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Model Reduction and Approximation

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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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Reduced Basis Methods for Partial Differential Equations

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An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation

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A reduced proper orthogonal decomposition (POD) element free Galerkin (POD-EFG) method to simulate two-dimensional solute transport problems and error estimate

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A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination

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The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations

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A reduced-order finite difference extrapolation algorithm based on POD technique for the non-stationary Navier-Stokes equations

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A POD reduced-order finite difference time-domain extrapolating scheme for the 2D Maxwell equations in a lossy medium

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Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation

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A POD-based-optimized finite difference CN-extrapolated implicit scheme for the 2D viscoelastic wave equation<sup><i>†</i></sup>

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Exact solutions to sine-Gordon-type equations

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Computational fluid dynamics

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Nonlinear Model Reduction via Discrete Empirical Interpolation

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Identifiers

zbMATH Open document ID

1458.65118

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Mathematics Subject Classification ID

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10.1186/S13662-018-1939-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:1716377