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

DOI10.1080/00207160.2020.1726896zbMath1480.65219OpenAlexW3004737222WikidataQ115428809 ScholiaQ115428809MaRDI QIDQ5031233

Eric Ngondiep

Publication date: 18 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2020.1726896

zbMATH Keywords

source termexplicit MacCormack schemestability and convergence rate2D unsteady linear convection-diffusion-reaction equationa three-level explicit time-split MacCormack methodone-dimensional operators (splitting)

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (7)

A two-level fourth-order approach for time-fractional convection-diffusion-reaction equation with variable coefficients ⋮ A high-order numerical scheme for multidimensional convection-diffusion-reaction equation with time-fractional derivative ⋮ A Six-Level Time-Split Leap-Frog/ Crank–Nicolson Approach for Two-Dimensional Nonlinear Time-Dependent Convection Diffusion Reaction Equation ⋮ A posteriori error estimate of MacCormack rapid solver method for two-dimensional incompressible Navier-Stokes problems ⋮ A high-order combined finite element/interpolation approach for multidimensional nonlinear generalized Benjamin-Bona-Mahony-Burgers equation ⋮ A Two-Level Factored Crank-Nicolson Method for Two-Dimensional Nonstationary Advection-Diffusion Equation With Time Dependent Dispersion Coefficients and Source Terms ⋮ Unconditional stability over long time intervals of a two-level coupled MacCormack/Crank-Nicolson method for evolutionary mixed Stokes-Darcy model

Cites Work

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• A Two-Level Factored Crank-Nicolson Method for Two-Dimensional Nonstationary Advection-Diffusion Equation With Time Dependent Dispersion Coefficients and Source Terms
• A higher‐order predictor–corrector scheme for two‐dimensional advection–diffusion equation
• Systems of conservation laws

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