Convergence analysis of the space fractional-order diffusion equation based on the compact finite difference scheme

Computational and Applied Mathematics ◽

10.1007/s40314-020-1078-z ◽

2020 ◽

Vol 39 (2) ◽

Author(s):

H. Safdari ◽

H. Mesgarani ◽

M. Javidi ◽

Y. Esmaeelzade Aghdam

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Convergence Analysis ◽

Fractional Order ◽

Finite Difference Scheme ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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Numerical investigation of space fractional order diffusion equation by the Chebyshev collocation method of the fourth kind and compact finite difference scheme

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2020402 ◽

2018 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Yones Esmaeelzade Aghdam ◽

◽

Hamid Safdari ◽

Yaqub Azari ◽

Hossein Jafari ◽

...

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Numerical Investigation ◽

Collocation Method ◽

Fractional Order ◽

Finite Difference Scheme ◽

Chebyshev Collocation Method ◽

Compact Finite Difference Scheme ◽

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A High-Order Compact Finite Difference Scheme for the Fractional Sub-diffusion Equation

Journal of Scientific Computing ◽

10.1007/s10915-014-9956-4 ◽

2014 ◽

Vol 64 (3) ◽

pp. 959-985 ◽

Author(s):

Cui-cui Ji ◽

Zhi-zhong Sun

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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An explicit fourth-order compact finite difference scheme for three-dimensional convection-diffusion equation

Communications in Numerical Methods in Engineering ◽

10.1002/(sici)1099-0887(199803)14:3<209::aid-cnm139>3.0.co;2-p ◽

1998 ◽

Vol 14 (3) ◽

pp. 209-218 ◽

Author(s):

Jun Zhang

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Convection Diffusion ◽

Convection Diffusion Equation

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A linearized, decoupled, and energy-preserving compact finite difference scheme for the coupled nonlinear Schrödinger equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22125 ◽

2016 ◽

Vol 33 (3) ◽

pp. 840-867 ◽

Author(s):

Tingchun Wang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Compact finite difference scheme for the solution of a time fractional partial integro-differential equation with a weakly singular kernel

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4549 ◽

2017 ◽

Vol 40 (18) ◽

pp. 7627-7639 ◽

Author(s):

Akbar Mohebbi

Keyword(s):

Differential Equation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Integro Differential Equation ◽

Weakly Singular

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A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems

Advances in Difference Equations ◽

10.1186/s13662-017-1115-4 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Navnit Jha ◽

Neelesh Kumar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Convection Diffusion ◽

Variable Mesh ◽

Diffusion Problems

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A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.09.051 ◽

2012 ◽

Vol 219 (6) ◽

pp. 3187-3197 ◽

Author(s):

Xin Li ◽

Luming Zhang ◽

Shanshan Wang

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Nonlinear Schrödinger Equation ◽

Finite Difference Scheme ◽

Wave Operator ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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Analysis of a conservative high-order compact finite difference scheme for the Klein–Gordon–Schrödinger equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.02.018 ◽

2019 ◽

Vol 358 ◽

pp. 84-96 ◽

Author(s):

Jialing Wang ◽

Dong Liang ◽

Yushun Wang

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

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Convergence of a high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.03.004 ◽

2019 ◽

Vol 143 ◽

pp. 133-145 ◽

Author(s):

Juan Chen ◽

Fangqi Chen

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

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A fourth-order compact finite difference scheme for solving anN-carrier system with Neumann boundary conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20427 ◽

2009 ◽

pp. NA-NA ◽

Author(s):

Weizhong Dai ◽

Da Yu Tzou

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Carrier System ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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