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

Yones Esmaeelzade Aghdam;  ; Hamid Safdari; Yaqub Azari; Hossein Jafari; Dumitru Baleanu;  ;

doi:10.3934/dcdss.2020402

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 ◽

Fourth Kind

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) ◽

Cited By ~ 9

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

2N order compact finite difference scheme with collocation method for solving the generalized Burger’s–Huxley and Burger’s–Fisher equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.02.009 ◽

2015 ◽

Vol 258 ◽

pp. 296-311 ◽

Cited By ~ 4

Author(s):

D.A. Hammad ◽

M.S. El-Azab

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Collocation Method ◽

Finite Difference Scheme ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

Fractional Order Finite Difference Scheme For Soil Moisture Diffusion Equation And Its Applications

IOSR Journal of Mathematics ◽

10.9790/5728-0541218 ◽

2013 ◽

Vol 5 (4) ◽

pp. 12-18

Author(s):

S.M.Jogdand S.M.Jogdand

Keyword(s):

Soil Moisture ◽

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Fractional Order ◽

Finite Difference Scheme ◽

Moisture Diffusion

Fractional order explicit finite difference scheme for time fractional radon diffusion equation in charcoal medium

Journal of Mathematical and Computational Science ◽

10.28919/jmcs/5318 ◽

2021 ◽

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Fractional Order ◽

Finite Difference Scheme ◽

Radon Diffusion ◽

Explicit Finite Difference

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 ◽

Cited By ~ 59

Author(s):

Cui-cui Ji ◽

Zhi-zhong Sun

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

High Order ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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 ◽

Cited By ~ 70

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

Exploring fractional order 2‐D Helmholtz equation using finite difference scheme through the bat optimization algorithm

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7271 ◽

2021 ◽

Author(s):

Najeeb Alam Khan ◽

Samreen Ahmed ◽

Oyoon Abdul Razzaq ◽

Ahmad Kamil Mahmood

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Helmholtz Equation ◽

Fractional Order ◽

Optimization Algorithm ◽

Finite Difference Scheme

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 ◽

Cited By ~ 11

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

A high-order ADI finite difference scheme for a 3D reaction-diffusion equation with neumann boundary condition

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21726 ◽

2012 ◽

Vol 29 (3) ◽

pp. 778-798 ◽

Cited By ~ 9

Author(s):

Wenyuan Liao

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

High Order ◽

Reaction Diffusion Equation

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 ◽

Cited By ~ 5

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