A high-order compact finite difference method and its extrapolation for fractional mobile/immobile convection–diffusion equations

CALCOLO ◽

10.1007/s10092-016-0207-y ◽

2016 ◽

Vol 54 (3) ◽

pp. 733-768 ◽

Author(s):

Yuan-Ming Wang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Diffusion Equations ◽

Compact Finite Difference ◽

Convection Diffusion ◽

Compact Finite Difference Method

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Analysis of a high-order compact finite difference method for Robin problems of time-fractional sub-diffusion equations with variable coefficients

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.05.023 ◽

2020 ◽

Vol 156 ◽

pp. 467-492

Author(s):

Yuan-Ming Wang ◽

Lei Ren

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Variable Coefficients ◽

Diffusion Equations ◽

Compact Finite Difference ◽

Compact Finite Difference Method

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Compact finite-difference method for 2D time-fractional convection–diffusion equation of groundwater pollution problems

Computational and Applied Mathematics ◽

10.1007/s40314-020-01169-9 ◽

2020 ◽

Vol 39 (3) ◽

Author(s):

Lingyu Li ◽

Ziwen Jiang ◽

Zhe Yin

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Diffusion Equation ◽

Difference Method ◽

Groundwater Pollution ◽

Compact Finite Difference ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Compact Finite Difference Method

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Exponential high-order compact finite difference method for convection-dominated diffusion problems on nonuniform grids

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2019.1607115 ◽

2019 ◽

Vol 75 (3) ◽

pp. 145-177

Author(s):

F. Tian ◽

Y. B. Ge ◽

Z. F. Tian

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Nonuniform Grids ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

Convection Dominated ◽

Diffusion Problems

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Higher-order compact finite difference method for systems of reaction–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.07.052 ◽

2009 ◽

Vol 233 (2) ◽

pp. 502-518 ◽

Author(s):

Yuan-Ming Wang ◽

Hong-Bo Zhang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Reaction Diffusion ◽

Higher Order ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Compact Finite Difference ◽

Compact Finite Difference Method

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Numerical modelling of linear and nonlinear diffusion equations by compact finite difference method

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.03.093 ◽

2010 ◽

Vol 216 (8) ◽

pp. 2472-2478 ◽

Author(s):

Gürhan Gürarslan

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Numerical Modelling ◽

Difference Method ◽

Nonlinear Diffusion ◽

Diffusion Equations ◽

Nonlinear Diffusion Equations ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

Linear And Nonlinear

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A note on compact finite difference method for reaction–diffusion equations with delay

Applied Mathematical Modelling ◽

10.1016/j.apm.2014.09.028 ◽

2015 ◽

Vol 39 (5-6) ◽

pp. 1749-1754 ◽

Author(s):

Dongfang Li ◽

Chengjian Zhang ◽

Jinming Wen

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

Equations With Delay

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A high-order compact finite difference method on nonuniform time meshes for variable coefficient reaction–subdiffusion problems with a weak initial singularity

BIT Numerical Mathematics ◽

10.1007/s10543-020-00841-0 ◽

2021 ◽

Author(s):

Yuan-Ming Wang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Variable Coefficient ◽

Initial Singularity ◽

Compact Finite Difference ◽

Compact Finite Difference Method

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A compact finite difference method for a class of time fractional convection-diffusion-wave equations with variable coefficients

Numerical Algorithms ◽

10.1007/s11075-015-9965-x ◽

2015 ◽

Vol 70 (3) ◽

pp. 625-651 ◽

Author(s):

Yuan-Ming Wang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Wave Equations ◽

Variable Coefficients ◽

Diffusion Wave ◽

Compact Finite Difference ◽

Convection Diffusion ◽

Compact Finite Difference Method

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A high-order linearized compact finite difference method for nonlinear fractional mobile/immobile equations

2020 Chinese Control And Decision Conference (CCDC) ◽

10.1109/ccdc49329.2020.9164462 ◽

2020 ◽

Author(s):

Tao Wang ◽

Haixia Li

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Compact Finite Difference ◽

Compact Finite Difference Method

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High‐order compact finite difference method for the multi‐term time fractional mixed diffusion and diffusion‐wave equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7207 ◽

2021 ◽

Author(s):

Bo Yu

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Diffusion Wave ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

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