An Explicit Stabilized Runge–Kutta–Legendre Super Time-Stepping Scheme for the Richards Equation

Ramesh Chandra Timsina, Harihar Khanal and Kedar Nath Uprety

Mathematical Problems in Engineering, 2021, vol. 2021, 1-11

Abstract:

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5573913

DOI: 10.1155/2021/5573913

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