Suction Potential and Water Absorption from Periodic Channels in Different Types of Homogeneous Soils

Authors

  • I. Solekhudin Mathematics and Mathematics Education National Institute of Education Nanyang Technological University, Singapore and Department of Mathematics Faculty of Mathematics and Natural Sciences Gadjah Mada University, Indonesia
  • K. C. Ang Mathematics and Mathematics Education National Institute of Education Nanyang Technological University, Singapore

DOI:

https://doi.org/10.14713/ejbe.v10i2.1760

Keywords:

Richard’s equation, Helmholtz equation, DRBEM, predictor-corrector, infiltration, root water uptake

Abstract

In this paper, problems involving infiltration from periodic identical trapezoidal channels into homogeneous soils with root water uptake are considered. The governing equation of infiltration through soil is transformed to a modified Helmholtz equation using Kirchoff transformation with dimensionless variables. A DRBEM with a predictor-corrector scheme is employed to obtain numerical solutions to the modified Helmholtz equation. The proposed method is used to solve infiltration problems in three different types of soil. Results are shown to be physically meaningful. 

Author Biography

I. Solekhudin, Mathematics and Mathematics Education National Institute of Education Nanyang Technological University, Singapore and Department of Mathematics Faculty of Mathematics and Natural Sciences Gadjah Mada University, Indonesia

Rutgers University Libraries

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Published

2012-06-27

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Papers