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

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  • Ramesh Chandra Timsina
  • Harihar Khanal
  • Kedar Nath Uprety

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.

Suggested Citation

  • Ramesh Chandra Timsina & Harihar Khanal & Kedar Nath Uprety, 2021. "An Explicit Stabilized Runge–Kutta–Legendre Super Time-Stepping Scheme for the Richards Equation," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-11, April.
    • Handle: RePEc:hin:jnlmpe:5573913
    DOI: 10.1155/2021/5573913
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