An <mml:math altimg="si24.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msup></mml:math> stability analysis for the finite-difference solution of one-dimensional linear convection–diffusion equations on moving meshes

Weizhang Huang; Forrest Schaeffer

doi:10.1016/j.cam.2012.02.043

An L∞ stability analysis for the finite-difference solution of one-dimensional linear convection–diffusion equations on moving meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.02.043 ◽

2012 ◽

Vol 236 (13) ◽

pp. 3338-3348 ◽

Cited By ~ 2

Author(s):

Weizhang Huang ◽

Forrest Schaeffer

Keyword(s):

Stability Analysis ◽

Finite Difference ◽

Diffusion Equations ◽

Moving Meshes ◽

One Dimensional ◽

Convection Diffusion ◽

Finite Difference Solution ◽

Difference Solution

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Performance of LCD iterative method in the finite element and finite difference solution of convection-diffusion equations

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.842 ◽

2006 ◽

Vol 22 (6) ◽

pp. 643-656 ◽

Cited By ~ 5

Author(s):

L. Catabriga ◽

A. M. P. Valli ◽

B. Z. Melotti ◽

L. M. Pessoa ◽

A. L. G. A. Coutinho

Keyword(s):

Finite Element ◽

Finite Difference ◽

Iterative Method ◽

Diffusion Equations ◽

Convection Diffusion ◽

Finite Difference Solution ◽

Difference Solution

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Unconditionally stable high-order time integration for moving mesh finite difference solution of linear convection–diffusion equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2014.927447 ◽

2014 ◽

Vol 92 (6) ◽

pp. 1180-1203 ◽

Cited By ~ 3

Author(s):

Weizhang Huang

Keyword(s):

Finite Difference ◽

Time Integration ◽

High Order ◽

Diffusion Equations ◽

Moving Mesh ◽

Unconditionally Stable ◽

Convection Diffusion ◽

Finite Difference Solution ◽

High Order Time ◽

Difference Solution

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Numerical correction of finite difference solution for two-dimensional space-fractional diffusion equations with boundary singularity

Numerical Algorithms ◽

10.1007/s11075-020-00923-8 ◽

2020 ◽

Author(s):

Zhaopeng Hao ◽

Wanrong Cao ◽

Shengyue Li

Keyword(s):

Finite Difference ◽

Dimensional Space ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Boundary Singularity ◽

Fractional Diffusion Equations ◽

Finite Difference Solution ◽

Difference Solution

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Finite difference solution of one-dimensional Stefan problem with periodic boundary conditions

International Journal of Heat and Mass Transfer ◽

10.1016/s0017-9310(03)00050-4 ◽

2003 ◽

Vol 46 (15) ◽

pp. 2911-2916 ◽

Cited By ~ 54

Author(s):

Svetislav Savović ◽

James Caldwell

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Stefan Problem ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

One Dimensional ◽

Finite Difference Solution ◽

Difference Solution

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Implicit finite difference solution for time-fractional diffusion equations using AOR method

Journal of Physics Conference Series ◽

10.1088/1742-6596/495/1/012032 ◽

2014 ◽

Vol 495 ◽

pp. 012032 ◽

Cited By ~ 8

Author(s):

A Sunarto ◽

J Sulaiman ◽

A Saudi

Keyword(s):

Finite Difference ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Aor Method ◽

Finite Difference Solution ◽

Implicit Finite Difference ◽

Difference Solution

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Explicit Finite Difference Solution for One Dimensional Solute Transport of Unstable Flow

DEStech Transactions on Environment Energy and Earth Science ◽

10.12783/dteees/icner2018/28563 ◽

2019 ◽

Author(s):

Songbai Cai ◽

Mingan Shao ◽

Dazhi Li ◽

Libin Qi

Keyword(s):

Finite Difference ◽

Solute Transport ◽

Unstable Flow ◽

One Dimensional ◽

Finite Difference Solution ◽

Explicit Finite Difference ◽

Difference Solution

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Finite difference solution of the time dependent neutron group diffusion equations

10.2172/4140727 ◽

1975 ◽

Cited By ~ 1

Author(s):

John S. Hendricks ◽

Allan F. Henry

Keyword(s):

Finite Difference ◽

Time Dependent ◽

Diffusion Equations ◽

Finite Difference Solution ◽

Difference Solution

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Moving mesh finite difference solution of non-equilibrium radiation diffusion equations

Numerical Algorithms ◽

10.1007/s11075-019-00662-5 ◽

2019 ◽

Vol 82 (4) ◽

pp. 1409-1440

Author(s):

Xiaobo Yang ◽

Weizhang Huang ◽

Jianxian Qiu

Keyword(s):

Finite Difference ◽

Diffusion Equations ◽

Moving Mesh ◽

Radiation Diffusion ◽

Finite Difference Solution ◽

Equilibrium Radiation ◽

Difference Solution ◽

Non Equilibrium

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Four-Point EGSOR Iteration for the Grünwald Implicit Finite Difference Solution of One-Dimensional Time-Fractional Parabolic Equations

Journal of Physics Conference Series ◽

10.1088/1742-6596/1366/1/012086 ◽

2019 ◽

Vol 1366 ◽

pp. 012086

Author(s):

F A Muhiddin ◽

J Sulaiman ◽

A Sunarto

Keyword(s):

Finite Difference ◽

Parabolic Equations ◽

One Dimensional ◽

Finite Difference Solution ◽

Implicit Finite Difference ◽

Difference Solution

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Finite difference solution of the one-dimensional advection–diffusion equation with variable coefficients in semi-infinite media

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2012.03.073 ◽

2012 ◽

Vol 55 (15-16) ◽

pp. 4291-4294 ◽

Cited By ~ 30

Author(s):

Svetislav Savović ◽

Alexandar Djordjevich

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Variable Coefficients ◽

One Dimensional ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Finite Difference Solution ◽

The One ◽

Infinite Media ◽

Difference Solution

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