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

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

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 ◽

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

Annales Universitatis Mariae Curie-Sklodowska sectio AI – Informatica ◽

10.2478/v10065-012-0045-8 ◽

2013 ◽

Vol 13 (1) ◽

Cited By ~ 1

Author(s):

Magdalena Lapinska-Chrzczonowicz ◽

Piotr Matus

Keyword(s):

Diffusion Equation ◽

Higher Order ◽

Difference Schemes ◽

Order Of Approximation ◽

Convection Diffusion ◽

Exact Difference

Finite Difference Methods. Theory and Applications - Lecture Notes in Computer Science ◽

Construction of Higher-Order Approximation Difference Scheme for Nonlinear Convection-Diffusion Equation Using Adaptive Artificial Viscosity in Case of Two-Phase Filtering Problems

10.1007/978-3-030-11539-5_45 ◽

2019 ◽

pp. 395-402

Author(s):

I. V. Popov ◽

Yu. A. Poveshchenko ◽

S. V. Polyakov

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Order Approximation ◽

Artificial Viscosity ◽

Higher Order ◽

Two Phase ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Adaptive Artificial Viscosity

A higher order richardson scheme for a singularly perturbed semilinear elliptic convection-diffusion equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542510030061 ◽

2010 ◽

Vol 50 (3) ◽

pp. 437-456 ◽

Cited By ~ 3

Author(s):

G. I. Shishkin ◽

L. P. Shishkina

Keyword(s):

Diffusion Equation ◽

Higher Order ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Semilinear Elliptic

An improved (9,5) higher order compact scheme for the transient two-dimensional convection–diffusion equation

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1133 ◽

2006 ◽

Vol 51 (7) ◽

pp. 703-717 ◽

Cited By ~ 14

Author(s):

Jiten C. Kalita ◽

Puneet Chhabra

Keyword(s):

Diffusion Equation ◽

Higher Order ◽

Compact Scheme ◽

Two Dimensional ◽

Convection Diffusion ◽

A Comparative Study of Numerical Schemes for Convection-diffusion Equation

Procedia Engineering ◽

10.1016/j.proeng.2015.11.353 ◽

2015 ◽

Vol 127 ◽

pp. 621-627 ◽

Cited By ~ 9

Author(s):

V.S. Aswin ◽

Ashish Awasthi ◽

C. Anu

Keyword(s):

Diffusion Equation ◽

Comparative Study ◽

Numerical Schemes ◽

Convection Diffusion ◽

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

Numerical Schemes for the Convection-Diffusion Equation Using a Meshless Finite-Difference Method

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2012.687976 ◽

2012 ◽

Vol 62 (1) ◽

pp. 1-27 ◽

Cited By ~ 7

Author(s):

Chandrashekhar Varanasi ◽

Jayathi Y. Murthy ◽

Sanjay Mathur

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Diffusion Equation ◽

Difference Method ◽

Numerical Schemes ◽

Convection Diffusion ◽

Meshless Finite Difference Method

Compact higher order discretization of 3D generalized convection diffusion equation with variable coefficients in nonuniform grids

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126652 ◽

2022 ◽

Vol 413 ◽

pp. 126652

Author(s):

Dharmaraj Deka ◽

Shuvam Sen

Keyword(s):

Diffusion Equation ◽

Variable Coefficients ◽

Higher Order ◽

Nonuniform Grids ◽

Convection Diffusion ◽