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International Journal of Computer Mathematics Volume 83, 2006 - Issue 10
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Original Articles

Alternating group explicit method with exponential-type for the diffusion–convection equation

X. F. Feng Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, People's Republic of China; School of Mathematics and Computer Science, Ningxia University, Yinchuan, 750021, People's Republic of China
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Z. F. Tian School of Mathematics and Computer Science, Ningxia University, Yinchuan, 750021, People's Republic of ChinaCorrespondence[email protected]
Pages 765-775 | Received 25 Oct 2005, Published online: 15 Jan 2007

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F. Tian, Y. B. Ge & Z. F. Tian. (2019) Exponential high-order compact finite difference method for convection-dominated diffusion problems on nonuniform grids. Numerical Heat Transfer, Part B: Fundamentals 75:3, pages 145-177.
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Articles from other publishers (12)

Rashmi Radha, Rakesh Kumar Singh & Mritunjay Kumar Singh. (2023) Pollutant dispersion with an intermediate source in a semi-infinite aquifer. Modeling Earth Systems and Environment.
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Mohammad Tamsir, Neeraj Dhiman, Amit Chauhan & Anand Chauhan. (2021) Solution of parabolic PDEs by modified quintic B-spline Crank-Nicolson collocation method. Ain Shams Engineering Journal 12:2, pages 2073-2082.
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Asifa Tassaddiq, Muhammad Yaseen, Aatika Yousaf & Rekha Srivastava. (2021) Computational study of the convection-diffusion equation using new cubic B-spline approximations. AIMS Mathematics 6:5, pages 4370-4393.
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Aatika Yousaf, Thabet Abdeljawad, Muhammad Yaseen & Muhammad Abbas. (2020) Novel Cubic Trigonometric B-Spline Approach Based on the Hermite Formula for Solving the Convection-Diffusion Equation. Mathematical Problems in Engineering 2020, pages 1-17.
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Okey Oseloka Onyejekwe. (2016) Localized Boundary-Domain Integro-partial Differential Formulations for Transient Scalar Transport Problems. International Journal of Applied and Computational Mathematics 3:3, pages 2189-2204.
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Neha Yadav, Anupam Yadav & Joong Hoon Kim. (2016) Numerical solution of unsteady advection dispersion equation arising in contaminant transport through porous media using neural networks. Computers & Mathematics with Applications 72:4, pages 1021-1030.
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Okey Oseloka Onyejekwe. (2016) A Domain-Boundary Integral Treatment of Transient Scalar Transport with Memory. Applied Mathematics 07:11, pages 1241-1247.
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A.R. Appadu, J.K. Djoko & H.H. Gidey. (2016) A computational study of three numerical methods for some advection-diffusion problems. Applied Mathematics and Computation 272, pages 629-647.
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Okey Oseloka Onyejekwe. (2014) The Effect of Time-Stepping on the Accuracy of Green Element Formulation of Unsteady Convective Transport. Journal of Applied Mathematics and Physics 02:07, pages 621-633.
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Huai-Huo Cao, Li-Bin Liu, Yong Zhang & Sheng-mao Fu. (2011) A fourth-order method of the convection–diffusion equations with Neumann boundary conditions. Applied Mathematics and Computation 217:22, pages 9133-9141.
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Zhen F. Tian & P.X. Yu. (2011) A high-order exponential scheme for solving 1D unsteady convection–diffusion equations. Journal of Computational and Applied Mathematics 235:8, pages 2477-2491.
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Akbar Mohebbi & Mehdi Dehghan. (2010) High-order compact solution of the one-dimensional heat and advection–diffusion equations. Applied Mathematical Modelling 34:10, pages 3071-3084.
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