A Crank-Nicolson-type compact difference method with the uniform time step for a class of weakly singular parabolic integro-differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.11.003 ◽

2021 ◽

Author(s):

Yuan-Ming Wang ◽

Yu-Jia Zhang

Keyword(s):

Differential Equations ◽

Difference Method ◽

Time Step ◽

Compact Difference ◽

Weakly Singular ◽

Compact Difference Method ◽

Download Full-text

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 ◽

Download Full-text

Simulation of 3-D Acoustic Scattering with a Pentadiagonal Compact-Difference Method

8th AIAA/CEAS Aeroacoustics Conference & Exhibit ◽

10.2514/6.2002-2536 ◽

2002 ◽

Author(s):

Nathan Edgar ◽

Peter TenPas

Keyword(s):

Difference Method ◽

Acoustic Scattering ◽

Compact Difference ◽

Compact Difference Method

Download Full-text

A fourth-order compact difference method for the nonlinear time-fractional fourth-order reaction–diffusion equation

Engineering With Computers ◽

10.1007/s00366-021-01524-2 ◽

2021 ◽

Author(s):

Majid Haghi ◽

Mohammad Ilati ◽

Mehdi Dehghan

Keyword(s):

Diffusion Equation ◽

Fourth Order ◽

Difference Method ◽

Reaction Diffusion ◽

Order Reaction ◽

Reaction Diffusion Equation ◽

Compact Difference ◽

Compact Difference Method

Download Full-text

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

Download Full-text

Combined compact difference method for solving the incompressible Navier-Stokes equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.2602 ◽

2011 ◽

Vol 68 (10) ◽

pp. 1234-1256 ◽

Author(s):

Weijia Chen ◽

JC Chen

Keyword(s):

Difference Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Compact Difference ◽

Compact Difference Method

Download Full-text

A Linearised Three-Point Combined Compact Difference Method with Weighted Approximation for Nonlinear Time Fractional Klein-Gordon Equations

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.271120.310321 ◽

2021 ◽

Vol 11 (3) ◽

pp. 604-617

Author(s):

Chunhua Zhang & Haiwei Sun

Keyword(s):

Difference Method ◽

Weighted Approximation ◽

Compact Difference ◽

Klein Gordon ◽

Compact Difference Method

Download Full-text

A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations

Journal of Computational Mathematics ◽

10.4208/jcm.2005-m2020-0029 ◽

2021 ◽

Vol 39 (5) ◽

pp. 697-721

Author(s):

global LuZhang

Keyword(s):

Difference Method ◽

Two Dimensional ◽

Ginzburg Landau ◽

Compact Difference ◽

Ginzburg Landau Equations ◽

Compact Difference Method

Download Full-text

Stream function-velocity-magnetic induction compact difference method for the 2D steady incompressible full magnetohydrodynamic equations

Computer Physics Communications ◽

10.1016/j.cpc.2017.05.007 ◽

2017 ◽

Vol 219 ◽

pp. 45-69 ◽

Author(s):

P.X. Yu ◽

Z.F. Tian ◽

A.Y. Ying ◽

M.A. Abdou

Keyword(s):

Stream Function ◽

Difference Method ◽

Magnetic Induction ◽

Magnetohydrodynamic Equations ◽

Compact Difference ◽

Compact Difference Method

Download Full-text

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

Download Full-text

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

Download Full-text