A Two-Level Factored Crank-Nicolson Method for Two-Dimensional Nonstationary Advection-Diffusion Equation With Time Dependent Dispersion Coefficients and Source Terms

DOI10.4208/aamm.OA-2020-0206zbMath1488.65270MaRDI QIDQ5157076

Eric Ngondiep

Publication date: 12 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

stability and convergence ratetwo-dimensional advection-diffusion equationCrank-Nicolson approachtime dependent dispersion coefficientstwo-level factored Crank-Nicolson method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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)

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A novel three-level time-split MacCormack scheme for two-dimensional evolutionary linear convection-diffusion-reaction equation with source term ⋮ 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 ⋮ Unconditional stability over long time intervals of a two-level coupled MacCormack/Crank-Nicolson method for evolutionary mixed Stokes-Darcy model

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