Combined compact difference scheme for the time fractional convection–diffusion equation with variable coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.08.025 ◽

2014 ◽

Vol 246 ◽

pp. 464-473 ◽

Author(s):

Mingrong Cui

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Variable Coefficients ◽

Compact Difference Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Compact Difference

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A Novel Method to Deduce a High-Order Compact Difference Scheme for the Three-Dimensional Semilinear Convection-Diffusion Equation with Variable Coefficients

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2013.778628 ◽

2013 ◽

Vol 63 (5) ◽

pp. 425-455 ◽

Author(s):

Shuying Zhai ◽

Xinlong Feng ◽

Demin Liu

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Three Dimensional ◽

Variable Coefficients ◽

Compact Difference Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Compact Difference ◽

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A High Order Compact Difference Scheme and Multigrid Method for Solving the 3D Convection Diffusion Equation on Non-uniform Grids

2012 Fourth International Conference on Computational and Information Sciences ◽

10.1109/iccis.2012.17 ◽

2012 ◽

Author(s):

Yongbin Ge ◽

Fujun Cao

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Multigrid Method ◽

Compact Difference Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Compact Difference ◽

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A High Order Compact Difference Scheme for Solving the Unsteady Convection-Diffusion Equation

Computational Methods in Engineering & Science ◽

10.1007/978-3-540-48260-4_20 ◽

2006 ◽

pp. 174-174

Author(s):

Zhihua Xie ◽

Jianguo Lin ◽

Juntao Zhou

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Compact Difference Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Compact Difference

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Convergence and performance of iterative methods for solving variable coefficient convection-diffusion equation with a fourth-order compact difference scheme

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(02)00162-1 ◽

2002 ◽

Vol 44 (3-4) ◽

pp. 457-479 ◽

Author(s):

S. Karaa ◽

Jun Zhang

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Iterative Methods ◽

Fourth Order ◽

Variable Coefficient ◽

Compact Difference Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Compact Difference ◽

And Performance

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A two colorable fourth-order compact difference scheme and parallel iterative solution of the 3D convection diffusion equation

Mathematics and Computers in Simulation ◽

10.1016/s0378-4754(00)00205-6 ◽

2000 ◽

Vol 54 (1-3) ◽

pp. 65-80 ◽

Author(s):

Jun Zhang ◽

Lixin Ge ◽

Jules Kouatchou

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Fourth Order ◽

Iterative Solution ◽

Compact Difference Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Compact Difference ◽

Parallel Iterative

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A fourth-order compact difference scheme on face centered cubic grids with multigrid method for solving 2D convection diffusion equation

Mathematics and Computers in Simulation ◽

10.1016/s0378-4754(03)00095-8 ◽

2003 ◽

Vol 63 (6) ◽

pp. 651-661 ◽

Author(s):

Haiwei Sun ◽

Ning Kang ◽

Jun Zhang ◽

Eric S. Carlson

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Fourth Order ◽

Multigrid Method ◽

Face Centered Cubic ◽

Compact Difference Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Compact Difference ◽

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Universal parallel numerical computing for 3D convection-diffusion equation with variable coefficients

Fifth International Conference on Algorithms and Architectures for Parallel Processing, 2002. Proceedings. ◽

10.1109/icapp.2002.1173552 ◽

2003 ◽

Author(s):

Xiaoli Zhi ◽

Xinda Lu

Keyword(s):

Diffusion Equation ◽

Variable Coefficients ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Numerical Computing

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Difference scheme for a singularly perturbed parabolic convection–diffusion equation in the presence of perturbations

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542515110159 ◽

2015 ◽

Vol 55 (11) ◽

pp. 1842-1856 ◽

Author(s):

G. I. Shishkin

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Convection Diffusion Equation

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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 ◽

Convection Diffusion Equation ◽

Operator Splitting Method

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Stability Analysis of a Finite Difference Scheme for a Nonlinear Time Fractional Convection Diffusion Equation

Analysis, Modelling, Optimization, and Numerical Techniques - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-319-12583-1_10 ◽

2015 ◽

pp. 139-150

Author(s):

Carlos D. Acosta ◽

Pedro A. Amador ◽

Carlos E. Mejía

Keyword(s):

Stability Analysis ◽

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation

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