An explicit stabilized Runge-Kutta-Legendre super time-stepping scheme for the Richards equation. (English) Zbl 1512.76070
Summary: We solve one-dimensional Kirchhof transformed Richards equation numerically using finite difference method with various time-stepping schemes, forward in time central in space (FTCS), backward in time central in space (BTCS), Crank-Nicolson (CN), and a stabilized Runge-Kutta-Legendre super time-stepping (RKL), and compare their performances.
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 65L06 | Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations |
| 76S05 | Flows in porous media; filtration; seepage |
References:
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