Two finite difference methods based on an H2N2 interpolation for two-dimensional time fractional mixed diffusion and diffusion-wave equations

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2021086 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Jinye Shen ◽

Xian-Ming Gu

Keyword(s):

Finite Difference ◽

Wave Equations ◽

Finite Difference Methods ◽

Two Dimensional ◽

Diffusion Wave ◽

Difference Methods ◽

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The studies of the linearly modified energy-preserving finite difference methods applied to solve two-dimensional nonlinear coupled wave equations

Numerical Algorithms ◽

10.1007/s11075-021-01099-5 ◽

2021 ◽

Author(s):

Dingwen Deng ◽

Qiang Wu

Keyword(s):

Finite Difference ◽

Wave Equations ◽

Finite Difference Methods ◽

Two Dimensional ◽

Coupled Wave Equations ◽

Difference Methods ◽

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An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.10.005 ◽

2019 ◽

Vol 136 ◽

pp. 139-151 ◽

Author(s):

Zeting Liu ◽

Fawang Liu ◽

Fanhai Zeng

Keyword(s):

Spectral Method ◽

Wave Equations ◽

Two Dimensional ◽

Diffusion Wave ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

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Explicit finite difference methods for two-dimensional diffusion with a non-local boundary condition

International Journal of Engineering Science ◽

10.1016/0020-7225(94)90112-0 ◽

1994 ◽

Vol 32 (11) ◽

pp. 1829-1834 ◽

Author(s):

B.J Noye ◽

M Dehghan ◽

J van der Hoek

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Finite Difference Methods ◽

Two Dimensional ◽

Local Boundary ◽

Dimensional Diffusion ◽

Local Boundary Condition ◽

Non Local ◽

Difference Methods ◽

Explicit Finite Difference

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Semi-implicit finite difference methods for the two-dimensional shallow water equations

Journal of Computational Physics ◽

10.1016/0021-9991(90)90091-e ◽

1990 ◽

Vol 86 (1) ◽

pp. 56-74 ◽

Author(s):

Vincenzo Casulli

Keyword(s):

Finite Difference ◽

Shallow Water ◽

Shallow Water Equations ◽

Finite Difference Methods ◽

Two Dimensional ◽

Implicit Finite Difference ◽

Difference Methods

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Finite-Difference Methods for Two-Dimensional Long Waves

Computational Hydraulics ◽

10.1007/978-3-642-95578-5_18 ◽

1989 ◽

pp. 120-136

Author(s):

Cornelis B. Vreugdenhil

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Two Dimensional ◽

Difference Methods

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Error analysis of finite difference methods for two-dimensional advection–dispersion–reaction equation

Advances in Water Resources ◽

10.1016/j.advwatres.2005.02.003 ◽

2005 ◽

Vol 28 (8) ◽

pp. 793-806 ◽

Author(s):

B. Ataie-Ashtiani ◽

S.A. Hosseini

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Finite Difference Methods ◽

Two Dimensional ◽

Reaction Equation ◽

Advection Dispersion ◽

Difference Methods

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A finite difference method with non-uniform timesteps for fractional diffusion and diffusion-wave equations

The European Physical Journal Special Topics ◽

10.1140/epjst/e2013-01979-7 ◽

2013 ◽

Vol 222 (8) ◽

pp. 1987-1998 ◽

Author(s):

J. Quintana-Murillo ◽

S. B. Yuste

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Wave Equations ◽

Fractional Diffusion ◽

Diffusion Wave ◽

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A Comparison of Exact and Finite Difference Methods for Two-Dimensional Potential Problems

IEEE Transactions on Education ◽

10.1109/te.1969.4320467 ◽

1969 ◽

Vol 12 (2) ◽

pp. 124-127

Author(s):

Allen Nussbaum

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Two Dimensional ◽

Potential Problems ◽

Difference Methods

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Finite element or finite difference methods for the two-dimensional shallow water equations?

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(76)90068-2 ◽

1976 ◽

Vol 7 (3) ◽

pp. 351-357 ◽

Author(s):

T.J. Weare

Keyword(s):

Finite Element ◽

Finite Difference ◽

Shallow Water ◽

Shallow Water Equations ◽

Finite Difference Methods ◽

Two Dimensional ◽

Difference Methods

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Mimetic finite difference methods for Hamiltonian wave equations in 2D

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.05.022 ◽

2017 ◽

Vol 74 (5) ◽

pp. 1123-1141 ◽

Author(s):

L. Beirão da Veiga ◽

L. Lopez ◽

G. Vacca

Keyword(s):

Finite Difference ◽

Wave Equations ◽

Finite Difference Methods ◽

Difference Methods

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