A Crank-Nicolson-type compact difference method and its extrapolation for time fractional Cattaneo convection-diffusion equations with smooth solutions

Numerical Algorithms ◽

10.1007/s11075-018-0558-3 ◽

2018 ◽

Vol 81 (2) ◽

pp. 489-527

Author(s):

Yuan-Ming Wang

Keyword(s):

Difference Method ◽

Diffusion Equations ◽

Smooth Solutions ◽

Convection Diffusion ◽

Compact Difference ◽

Compact Difference Method ◽

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A high-order compact difference method on fitted meshes for Neumann problems of time-fractional reaction–diffusion equations with variable coefficients

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.10.014 ◽

2021 ◽

Vol 181 ◽

pp. 598-623

Author(s):

Yuan-Ming Wang

Keyword(s):

Difference Method ◽

Reaction Diffusion ◽

Variable Coefficients ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Neumann Problems ◽

Compact Difference ◽

Compact Difference Method ◽

Fractional Reaction

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A Crank-Nicolson-type compact difference method with the uniform time step for a class of weakly singular parabolic integro-differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.11.003 ◽

2021 ◽

Author(s):

Yuan-Ming Wang ◽

Yu-Jia Zhang

Keyword(s):

Differential Equations ◽

Difference Method ◽

Time Step ◽

Compact Difference ◽

Weakly Singular ◽

Compact Difference Method ◽

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A high-order L2-compact difference method for Caputo-type time-fractional sub-diffusion equations with variable coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.09.007 ◽

2019 ◽

Vol 342 ◽

pp. 71-93 ◽

Author(s):

Yuan-Ming Wang ◽

Lei Ren

Keyword(s):

Difference Method ◽

Variable Coefficients ◽

Diffusion Equations ◽

Compact Difference ◽

Compact Difference Method

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A fourth-order extrapolated compact difference method for time-fractional convection-reaction-diffusion equations with spatially variable coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.05.037 ◽

2017 ◽

Vol 312 ◽

pp. 1-22 ◽

Author(s):

Lei Ren ◽

Yuan-Ming Wang

Keyword(s):

Fourth Order ◽

Difference Method ◽

Reaction Diffusion ◽

Variable Coefficients ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Compact Difference ◽

Compact Difference Method

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Crank–Nicolson finite difference method based on a midpoint upwind scheme on a non-uniform mesh for time-dependent singularly perturbed convection–diffusion equations

International Journal of Computer Mathematics ◽

10.1080/00207160701459672 ◽

2008 ◽

Vol 85 (5) ◽

pp. 771-790 ◽

Author(s):

M. K. Kadalbajoo ◽

Ashish Awasthi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Singularly Perturbed ◽

Upwind Scheme ◽

Time Dependent ◽

Diffusion Equations ◽

Uniform Mesh ◽

Convection Diffusion ◽

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A high-order compact difference method for fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions

Computational and Applied Mathematics ◽

10.1007/s40314-019-0992-4 ◽

2019 ◽

Vol 39 (1) ◽

Author(s):

Yuan-Ming Wang

Keyword(s):

Boundary Conditions ◽

Difference Method ◽

Neumann Boundary ◽

Variable Coefficients ◽

Neumann Boundary Conditions ◽

Diffusion Equations ◽

Compact Difference ◽

Compact Difference Method

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A Class of Parallel Finite Difference Method for Convection-Diffusion Equations

10.1063/1.3241422 ◽

2009 ◽

Author(s):

Qinghua Feng ◽

Theodore E. Simos ◽

George Psihoyios ◽

Ch. Tsitouras

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Diffusion Equations ◽

Convection Diffusion

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Parallel characteristic finite difference method for convection-diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20557 ◽

2011 ◽

Vol 27 (4) ◽

pp. 854-866 ◽

Author(s):

Jiansong Zhang ◽

Danping Yang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Diffusion Equations ◽

Convection Diffusion ◽

Parallel Characteristic

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Simulation of 3-D Acoustic Scattering with a Pentadiagonal Compact-Difference Method

8th AIAA/CEAS Aeroacoustics Conference & Exhibit ◽

10.2514/6.2002-2536 ◽

2002 ◽

Author(s):

Nathan Edgar ◽

Peter TenPas

Keyword(s):

Difference Method ◽

Acoustic Scattering ◽

Compact Difference ◽

Compact Difference Method

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A fourth-order compact difference method for the nonlinear time-fractional fourth-order reaction–diffusion equation

Engineering With Computers ◽

10.1007/s00366-021-01524-2 ◽

2021 ◽

Author(s):

Majid Haghi ◽

Mohammad Ilati ◽

Mehdi Dehghan

Keyword(s):

Diffusion Equation ◽

Fourth Order ◽

Difference Method ◽

Reaction Diffusion ◽

Order Reaction ◽

Reaction Diffusion Equation ◽

Compact Difference ◽

Compact Difference Method

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