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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 63, 2013 - Issue 5
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Original Articles

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

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Pages 425-455 | Received 05 Sep 2012, Accepted 05 Feb 2013, Published online: 28 Apr 2013

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Read on this site (10)

Zhifeng Weng, Longyuan Wu & Shuying Zhai. (2018) A characteristic ADI finite difference method for spatial-fractional convection-dominated diffusion equation. Numerical Heat Transfer, Part B: Fundamentals 74:5, pages 765-787.
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Shubo Zhao, Xufeng Xiao, Zhijun Tan & Xinlong Feng. (2018) Two types of spurious oscillations at layers diminishing methods for convection–diffusion–reaction equations on surface. Numerical Heat Transfer, Part A: Applications 74:7, pages 1387-1404.
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Weilong Wang, Jilian Wu & Xinlong Feng. (2018) A novel pressure-correction projection finite element method for incompressible natural convection problem with variable density. Numerical Heat Transfer, Part A: Applications 74:2, pages 1001-1017.
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Jingwei Li, Yuanyang Qiao, Shuying Zhai & Xinlong Feng. (2018) Meshless local Petrov Galerkin method for 2D/3D nonlinear convection–diffusion equations based on LS-RBF-PUM. Numerical Heat Transfer, Part B: Fundamentals 74:1, pages 450-464.
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Guoliang Zhang, Haiyan Su & Xinlong Feng. (2018) A novel parallel two-step algorithm based on finite element discretization for the incompressible flow problem. Numerical Heat Transfer, Part B: Fundamentals 73:5, pages 329-341.
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C. H. Marchi, F. F. Giacomini & C. D. Santiago. (2016) Repeated Richardson extrapolation to reduce the field discretization error in computational fluid dynamics. Numerical Heat Transfer, Part B: Fundamentals 70:4, pages 340-353.
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C. H. Yu, Z. Gao & Tony W. H. Sheu. (2016) Development of a symplectic and phase error reducing perturbation finite-difference advection scheme. Numerical Heat Transfer, Part B: Fundamentals 70:2, pages 136-151.
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Shuying Zhai & Xinlong Feng. (2014) A new coupled high-order compact method for the three-dimensional nonlinear biharmonic equations. International Journal of Computer Mathematics 91:10, pages 2307-2325.
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Shuying Zhai, Xinlong Feng & Yinnian He. (2014) A New High-Order Compact ADI Method for 3-D Unsteady Convection-Diffusion Problems with Discontinuous Coefficients. Numerical Heat Transfer, Part B: Fundamentals 65:4, pages 376-391.
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Articles from other publishers (12)

Shuanggui Hu, Kejia Pan, Xiaoxin Wu, Yongbin Ge & Zhilin Li. (2023) An efficient extrapolation multigrid method based on a HOC scheme on nonuniform rectilinear grids for solving 3D anisotropic convection–diffusion problems. Computer Methods in Applied Mechanics and Engineering 403, pages 115724.
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Xia Tian & Ji Lin. (2020) A novel radial basis function method for 3D linear and nonlinear advection diffusion reaction equations with variable coefficients. Engineering with Computers 38:S1, pages 475-488.
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Bassou Khouya, Mofdi El-Amrani & Mohammed Seaid. (2020) A Three-Dimensional Monotonicity-Preserving Modified Method of Characteristics on Unstructured Tetrahedral Meshes. International Journal of Computational Methods 18:01, pages 2050027.
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Xuefei He & Kun Wang. (2020) Efficient approximation algorithm for the Schrödinger–Possion system. Numerical Methods for Partial Differential Equations 37:1, pages 422-443.
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Navnit Jha & Bhagat Singh. (2019) Exponential basis and exponential expanding grids third (fourth)-order compact schemes for nonlinear three-dimensional convection-diffusion-reaction equation. Advances in Difference Equations 2019:1.
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Jingwei Li, Xinlong Feng & Yinnian He. (2019) RBF-based meshless local Petrov Galerkin method for the multi-dimensional convection–diffusion-reaction equation. Engineering Analysis with Boundary Elements 98, pages 46-53.
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Yan Wang & Yongbin Ge. (2018) High-Order Compact Difference Scheme and Multigrid Method for Solving the 2D Elliptic Problems. Mathematical Problems in Engineering 2018, pages 1-11.
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Ning Li, Haiyan Su, Dongwei Gui & Xinlong Feng. (2018) Multiquadric RBF-FD method for the convection-dominated diffusion problems base on Shishkin nodes. International Journal of Heat and Mass Transfer 118, pages 734-745.
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Jingwei Li, Shuying Zhai, Zhifeng Weng & Xinlong Feng. (2017) H -adaptive RBF-FD method for the high-dimensional convection-diffusion equation. International Communications in Heat and Mass Transfer 89, pages 139-146.
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Shuying Zhai, Lingzhi Qian, Dongwei Gui & Xinlong Feng. (2015) A block-centered characteristic finite difference method for convection-dominated diffusion equation. International Communications in Heat and Mass Transfer 61, pages 1-7.
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SHUYING ZHAI, XINLONG FENG & YINNIAN HE. (2014) A ROBUST HIGH-ORDER COMPACT METHOD FOR THE THREE DIMENSIONAL NONLINEAR BIHARMONIC EQUATIONS. International Journal of Computational Methods 11:04, pages 1350065.
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Lingzhi Qian, Huiping Cai, Rui Guo & Xinlong Feng. (2014) The characteristic variational multiscale method for convection-dominated convection–diffusion–reaction problems. International Journal of Heat and Mass Transfer 72, pages 461-469.
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