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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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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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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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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High-order compact difference scheme of 1D nonlinear degenerate convection–reaction–diffusion equation with adaptive algorithm

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2019.1591858 ◽

2019 ◽

Vol 75 (1) ◽

pp. 43-66 ◽

Author(s):

Xiaoliang Zhu ◽

Hongxing Rui

Keyword(s):

Diffusion Equation ◽

Difference Scheme ◽

Adaptive Algorithm ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Compact Difference Scheme ◽

Compact Difference ◽

Nonlinear Degenerate

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High-Order Compact Difference Scheme for Convection–Diffusion Problems on Nonuniform Grids

Journal of Engineering Mechanics ◽

10.1061/(asce)0733-9399(2005)131:12(1221) ◽

2005 ◽

Vol 131 (12) ◽

pp. 1221-1228 ◽

Author(s):

X. Wang ◽

Z. F. Yang ◽

G. H. Huang

Keyword(s):

Difference Scheme ◽

Compact Difference Scheme ◽

Nonuniform Grids ◽

Convection Diffusion ◽

Compact Difference ◽

Diffusion Problems

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New formulas of the high‐order derivatives of fifth‐kind Chebyshev polynomials: Spectral solution of the convection–diffusion equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22756 ◽

2021 ◽

Author(s):

Waleed M. Abd‐Elhameed ◽

Youssri H. Youssri

Keyword(s):

Diffusion Equation ◽

Chebyshev Polynomials ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Spectral Solution ◽

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Direct calculation of waves in fluid flows using high-order compact difference scheme

AIAA Journal ◽

10.2514/3.12172 ◽

1994 ◽

Vol 32 (9) ◽

pp. 1766-1773 ◽

Author(s):

Sheng-Tao Yu ◽

Lennart S. Hultgren ◽

Nan-Suey Liu

Keyword(s):

Difference Scheme ◽

Fluid Flows ◽

Direct Calculation ◽

Compact Difference Scheme ◽

Compact Difference

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