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International Journal of Computer Mathematics Volume 98, 2021 - Issue 1
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Original Articles

A novel three-level time-split MacCormack scheme for two-dimensional evolutionary linear convection-diffusion-reaction equation with source term

Eric Ngondiepa Department of Mathematics and Statistics, College of Science, Al-Imam Muhammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia;b Hydrological Research Centre, Institute for Geological and Mining Research, Yaounde, CameroonCorrespondence[email protected]
[email protected]
Pages 47-74 | Received 26 Jul 2019, Accepted 01 Feb 2020, Published online: 16 Feb 2020

Citations (11)

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Eric Ngondiep. (2021) A fourth-order two-level factored implicit scheme for solving two-dimensional unsteady transport equation with time-dependent dispersion coefficients. International Journal for Computational Methods in Engineering Science and Mechanics 22:4, pages 253-264.
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Articles from other publishers (10)

Eric Ngondiep. (2024) A posteriori error estimate of MacCormack rapid solver method for two-dimensional incompressible Navier–Stokes problems. Journal of Computational and Applied Mathematics 438, pages 115569.
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Eric Ngondiep. (2024) A high-order combined finite element/interpolation approach for multidimensional nonlinear generalized Benjamin–Bona–Mahony–Burgers equation. Mathematics and Computers in Simulation 215, pages 560-577.
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Eric Ngondiep. (2023) A Six-Level Time-Split Leap-Frog/ Crank–Nicolson Approach for Two-Dimensional Nonlinear Time-Dependent Convection Diffusion Reaction Equation. International Journal of Computational Methods 20:08.
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Eric Ngondiep. (2023) A high-order numerical scheme for multidimensional convection-diffusion-reaction equation with time-fractional derivative. Numerical Algorithms 94:2, pages 681-700.
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Eric Ngondiep. (2023) An efficient two-level factored method for advection-dispersion problem with spatio-temporal coefficients and source terms. AIMS Mathematics 8:5, pages 11498-11520.
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Rubayyi T. Alqahtani, Jean C. Ntonga & Eric Ngondiep. (2023) Stability analysis and convergence rate of a two-step predictor-corrector approach for shallow water equations with source terms. AIMS Mathematics 8:4, pages 9265-9289.
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Eric Ngondiep. (2022) A two-level fourth-order approach for time-fractional convection–diffusion–reaction equation with variable coefficients. Communications in Nonlinear Science and Numerical Simulation 111, pages 106444.
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Eric Ngondiep. (2022) Unconditional stability over long time intervals of a two-level coupled MacCormack/Crank–Nicolson method for evolutionary mixed Stokes-Darcy model. Journal of Computational and Applied Mathematics 409, pages 114148.
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Keigo Wada. (2021) Effect of small heat release and viscosity on thermal-diffusive instability. Scientific Reports 11:1.
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Eric Ngondiep, Nabil Kerdid, Mohammed Abdulaziz Mohammed Abaoud & Ibrahim Abdulaziz Ibrahim Aldayel. (2020) A three‐level time‐split MacCormack method for two‐dimensional nonlinear reaction‐diffusion equations. International Journal for Numerical Methods in Fluids 92:12, pages 1681-1706.
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