Proceedings of the International Conference on Mathematics, Geometry, Statistics, and Computation (IC-MaGeStiC 2021)

Root Water Uptake Process for Different Types of Soil in Unsteady Infiltration from Periodic Trapezoidal Channels

Authors
Millatuz Zahroh1, *, Imam Solekhudin2
1Mathematics Department, Universitas Jember
2Mathematics Department, Universitas Gadjah Mada
*Corresponding author. Email: millatuz@unej.ac.id
Corresponding Author
Millatuz Zahroh
Available Online 8 February 2022.
DOI
10.2991/acsr.k.220202.023How to use a DOI?
Keywords
Root water uptake; Unsteady infiltration; DRM; Diffusivity factor
Abstract

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.

Copyright
© 2022 The Authors. Published by Atlantis Press International B.V.
Open Access
This is an open access article under the CC BY-NC license.

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Volume Title
Proceedings of the International Conference on Mathematics, Geometry, Statistics, and Computation (IC-MaGeStiC 2021)
Series
Advances in Computer Science Research
Publication Date
8 February 2022
ISBN
10.2991/acsr.k.220202.023
ISSN
2352-538X
DOI
10.2991/acsr.k.220202.023How to use a DOI?
Copyright
© 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  -