Root Water Uptake Process for Different Types of Soil in Unsteady Infiltration from Periodic Trapezoidal Channels
Millatuz Zahroh1, *, Imam Solekhudin2
1Mathematics Department, Universitas Jember
2Mathematics Department, Universitas Gadjah Mada
*Corresponding author. Email: firstname.lastname@example.org
Available Online 8 February 2022.
- 10.2991/acsr.k.220202.023How to use a DOI?
- Root water uptake; Unsteady infiltration; DRM; Diffusivity factor
This study involves a non-linear partial differential equation known as Richard’s Equation. An unsteady infiltration from trapezoidal periodic irrigation channel with root-water uptake is considered as the problem. To solve the problem, A set of transformations, Kirchhoff transformation, dimensionless variables, Batu’s transformation and Laplace transformation, are employed to transform Richard’s Equation into a modified Helmholtz equation. Finally, the transformation is solved numerically using The Dual Reciprocity Method (DRM) with a predictor-corrector scheme. Employing Gaver-Stehfest formulae and diffusivity factor, distributions of root water uptake process are obtained as sink term of the problem.
- © 2022 The Authors. Published by Atlantis Press International B.V.
- Open Access
- This is an open access article under the CC BY-NC license.
Cite this article
TY - CONF AU - Millatuz Zahroh AU - Imam Solekhudin PY - 2022 DA - 2022/02/08 TI - Root Water Uptake Process for Different Types of Soil in Unsteady Infiltration from Periodic Trapezoidal Channels BT - Proceedings of the International Conference on Mathematics, Geometry, Statistics, and Computation (IC-MaGeStiC 2021) PB - Atlantis Press SP - 113 EP - 119 SN - 2352-538X UR - https://doi.org/10.2991/acsr.k.220202.023 DO - 10.2991/acsr.k.220202.023 ID - Zahroh2022 ER -