A novel high order compact ADI scheme for two dimensional fractional integro-differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.05.008 ◽

2021 ◽

Author(s):

Zhibo Wang ◽

Yuxiang Liang ◽

Yan Mo

Keyword(s):

Differential Equations ◽

Two Dimensional ◽

Compact Adi Scheme

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High order numerical algorithms based on biquadratic spline collocation for two-dimensional parabolic partial differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1437260 ◽

2018 ◽

Vol 96 (3) ◽

pp. 500-536 ◽

Author(s):

Jun Liu ◽

Hui Guo ◽

Yao-Lin Jiang ◽

Yan Wang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Algorithms ◽

Parabolic Partial Differential Equations ◽

Two Dimensional ◽

Spline Collocation ◽

Partial Differential

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A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.04.009 ◽

2020 ◽

Vol 156 ◽

pp. 50-62

Author(s):

Xiujun Cheng ◽

Hongyu Qin ◽

Jiwei Zhang

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Two Dimensional ◽

Compact Adi Scheme

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A fourth-order compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2019.1671587 ◽

2019 ◽

Vol 97 (9) ◽

pp. 1928-1948 ◽

Author(s):

Dongdong Hu ◽

Xuenian Cao

Keyword(s):

Diffusion Equation ◽

Fourth Order ◽

Reaction Diffusion ◽

Riesz Space ◽

Reaction Diffusion Equation ◽

Two Dimensional ◽

Nonlinear Reaction ◽

Nonlinear Reaction Diffusion Equation ◽

Compact Adi Scheme

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A high-order exponential ADI scheme for two dimensional time fractional convection–diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.05.016 ◽

2014 ◽

Vol 68 (3) ◽

pp. 185-196 ◽

Author(s):

Zhibo Wang ◽

Seakweng Vong

Keyword(s):

Diffusion Equations ◽

Two Dimensional ◽

Convection Diffusion ◽

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A high-order ADI scheme for the two-dimensional time fractional diffusion-wave equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2014.915960 ◽

2014 ◽

Vol 92 (5) ◽

pp. 970-979 ◽

Author(s):

Zhibo Wang ◽

Seakweng Vong

Keyword(s):

Wave Equation ◽

Fractional Diffusion ◽

Two Dimensional ◽

Diffusion Wave ◽

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A High-Order Compact ADI Scheme for the 3D Unsteady Convection-Diffusion Equation

2011 International Conference on Computational and Information Sciences ◽

10.1109/iccis.2011.35 ◽

2011 ◽

Author(s):

Fujun Cao ◽

Yongbin Ge

Keyword(s):

Diffusion Equation ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Compact Adi Scheme

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A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction–diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.01.013 ◽

2018 ◽

Vol 75 (8) ◽

pp. 2835-2850 ◽

Author(s):

Fengyan Wu ◽

Xiujun Cheng ◽

Dongfang Li ◽

Jinqiao Duan

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Two Dimensional ◽

Nonlinear Reaction ◽

Compact Adi Scheme

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A compact ADI scheme for the two dimensional time fractional diffusion-wave equation in polar coordinates

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21976 ◽

2015 ◽

Vol 31 (5) ◽

pp. 1692-1712 ◽

Author(s):

Seakweng Vong ◽

Zhibo Wang

Keyword(s):

Wave Equation ◽

Fractional Diffusion ◽

Polar Coordinates ◽

Two Dimensional ◽

Diffusion Wave ◽

Compact Adi Scheme

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A new algorithm for the solution of nonlinear two-dimensional Volterra integro-differential equations of high-order

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.06.017 ◽

2020 ◽

Vol 364 ◽

pp. 112301 ◽

Author(s):

Y. Wang ◽

S.S. Ezz-Eldien ◽

A.A. Aldraiweesh

Keyword(s):

Differential Equations ◽

Two Dimensional

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A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.10.065 ◽

2019 ◽

Vol 346 ◽

pp. 452-464 ◽

Author(s):

Xiujun Cheng ◽

Jinqiao Duan ◽

Dongfang Li

Keyword(s):

Reaction Diffusion ◽

Riesz Space ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Two Dimensional ◽

Nonlinear Reaction ◽

Compact Adi Scheme

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