Exact difference schemes and schemes of higher order of approximation for convection-diffusion equation. I

Exact Difference

Higher-Order Exponential Difference Schemes for the Computations of the Steady Convection–Diffusion Equation

Journal of Computational Physics ◽

10.1006/jcph.1996.0239 ◽

1996 ◽

Vol 129 (1) ◽

pp. 134-159 ◽

Cited By ~ 3

Author(s):

Yao-Hsin Hwang

Keyword(s):

Diffusion Equation ◽

Higher Order ◽

Difference Schemes ◽

Convection Diffusion ◽

Steady Convection

Higher Order Iterative Operator Splitting Method for the 2D Convection Diffusion Equation with Variable Coefficients

Advances in Applied Mathematics ◽

10.12677/aam.2017.63030 ◽

2017 ◽

Vol 06 (03) ◽

pp. 249-258

Author(s):

林姚

Keyword(s):

Diffusion Equation ◽

Operator Splitting ◽

Splitting Method ◽

Variable Coefficients ◽

Higher Order ◽

Convection Diffusion ◽

Operator Splitting Method

Spectral analysis of finite difference schemes for convection diffusion equation

Computers & Fluids ◽

10.1016/j.compfluid.2017.04.009 ◽

2017 ◽

Vol 150 ◽

pp. 95-114 ◽

Cited By ~ 14

Author(s):

V.K. Suman ◽

Tapan K. Sengupta ◽

C. Jyothi Durga Prasad ◽

K. Surya Mohan ◽

Deepanshu Sanwalia

Keyword(s):

Spectral Analysis ◽

Finite Difference ◽

Diffusion Equation ◽

Difference Schemes ◽

Convection Diffusion ◽

Fourier analysis of several finite difference schemes for the one-dimensional unsteady convection-diffusion equation

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.136 ◽

2001 ◽

Vol 36 (4) ◽

pp. 417-439 ◽

Cited By ~ 13

Author(s):

J. M. C. Pereira ◽

J. C. F. Pereira

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Fourier Analysis ◽

Difference Schemes ◽

One Dimensional ◽

Convection Diffusion ◽

The One

Stability of Difference Schemes on Uniform Grids for a Singularly Perturbed Convection-Diffusion Equation

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_32 ◽

2012 ◽

pp. 293-301 ◽

Cited By ~ 2

Author(s):

G. Shishkin

Keyword(s):

Diffusion Equation ◽

Difference Schemes ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Stability Of Difference Schemes ◽

Uniform Grids

On the improvement of convergence rate of difference schemes with high order differences for a convection-diffusion equation

10.1063/1.4912679 ◽

2015 ◽

Author(s):

Givi Berikelashvili ◽

Murli M. Gupta ◽

Bidzina Midodashvili

Keyword(s):

Diffusion Equation ◽

Convergence Rate ◽

High Order ◽

Difference Schemes ◽

Convection Diffusion ◽

A family of finite difference schemes for the convection-diffusion equation in two dimensions

Numerical Mathematics and Advanced Applications ◽

10.1007/978-88-470-2089-4_17 ◽

2003 ◽

pp. 179-188

Author(s):

E. Sousa ◽

I. Sobey

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Two Dimensions ◽

Difference Schemes ◽

Convection Diffusion ◽

Finite Difference Schemes for Poisson equation and Convection-Diffusion equation

Finite Element Methods and Navier-Stokes Equations ◽

10.1007/978-94-010-9333-0_2 ◽

1986 ◽

pp. 28-57

Author(s):

C. Cuvelier ◽

A. Segal ◽

A. A. van Steenhoven

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Poisson Equation ◽

Difference Schemes ◽

Convection Diffusion ◽

A family of higher-order numerical schemes for the convection-diffusion equation in conservation form

Journal of Computational Methods in Sciences and Engineering ◽

10.3233/jcm-2005-5108 ◽

2005 ◽

Vol 5 (1) ◽

pp. 91-108

Author(s):

Brian J. McCartin ◽

Michael W. Fisackerly

Keyword(s):

Diffusion Equation ◽

Higher Order ◽

Numerical Schemes ◽

Convection Diffusion ◽

A class of higher order compact schemes for the unsteady two-dimensional convection-diffusion equation with variable convection coefficients

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.263 ◽

2002 ◽

Vol 38 (12) ◽

pp. 1111-1131 ◽

Cited By ~ 108

Author(s):

Jiten C. Kalita ◽

D. C. Dalal ◽

Anoop K. Dass

Keyword(s):

Diffusion Equation ◽

Higher Order ◽

Compact Schemes ◽

Two Dimensional ◽

Convection Diffusion ◽