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 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 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 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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A high-order compact difference method for time fractional Fokker–Planck equations with variable coefficients

Computational and Applied Mathematics ◽

10.1007/s40314-019-0865-x ◽

2019 ◽

Vol 38 (3) ◽

Author(s):

Lei Ren ◽

Lei Liu

Keyword(s):

Difference Method ◽

Variable Coefficients ◽

Compact Difference ◽

Fokker Planck Equations ◽

Compact Difference Method ◽

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A HIGH ORDER DIFFERENCE METHOD FOR FRACTIONAL SUB-DIFFUSION EQUATIONS WITH THE SPATIALLY VARIABLE COEFFICIENTS UNDER PERIODIC BOUNDARY CONDITIONS

Journal of Applied Analysis & Computation ◽

10.11948/20180150 ◽

2020 ◽

Vol 10 (2) ◽

pp. 474-485

Author(s):

Huiqin Zhang ◽

◽

Yan Mo ◽

Zhibo Wang

Keyword(s):

Boundary Conditions ◽

Difference Method ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

Variable Coefficients ◽

Diffusion Equations ◽

Order Difference

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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 fast high-order compact difference method for the fractal mobile/immobile transport equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2019.1668556 ◽

2019 ◽

Vol 97 (9) ◽

pp. 1860-1883 ◽

Author(s):

Zhengguang Liu ◽

Xiaoli Li ◽

Xuhao Zhang

Keyword(s):

Transport Equation ◽

Difference Method ◽

Compact Difference ◽

Compact Difference Method

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Numerical solution of nonlinear advection diffusion reaction equation using high-order compact difference method

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.04.004 ◽

2021 ◽

Author(s):

Lin Zhang ◽

Yongbin Ge

Keyword(s):

Numerical Solution ◽

Difference Method ◽

Diffusion Reaction ◽

Reaction Equation ◽

Compact Difference ◽

Advection Diffusion ◽

Nonlinear Advection ◽

Compact Difference Method

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A rational high-order compact difference method for the steady-state stream function–vorticity formulation of the Navier–Stokes equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.01.024 ◽

2017 ◽

Vol 73 (7) ◽

pp. 1461-1484 ◽

Author(s):

P.X. Yu ◽

Z.F. Tian ◽

Hongjie Zhang

Keyword(s):

Steady State ◽

Stream Function ◽

Difference Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Compact Difference ◽

Compact Difference Method

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A fast-high order compact difference method for the fractional cable equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22286 ◽

2018 ◽

Vol 34 (6) ◽

pp. 2237-2266 ◽

Author(s):

Zhengguang Liu ◽

Aijie Cheng ◽

Xiaoli Li

Keyword(s):

Difference Method ◽

Cable Equation ◽

Compact Difference ◽

Fractional Cable Equation ◽

Compact Difference Method

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