A DRBEM For Time-Dependent Infiltration from Periodic Irrigation Channels in a Homogeneous Soil

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 Department of Mathematics Faculty of Mathematics and Natural Sciences Gadjah Mada University, Indonesia

DOI:

https://doi.org/10.14713/ejbe.v11i1.1810

Keywords:

Dual-reciprocity boundary element method, periodic identical irrigation channels, infiltration

Abstract

In this paper, a problem involving time-dependent water flow in a homogeneous soil is considered. The problem involves water infiltration from periodic identical trapezoidal channels. A governing equation of the problem is the Richard’s equation, which can be studied more conveniently by transforming the equation to a Helmholtz equation using the Kirchhoff transformation with dimensionless variables and a Laplace’s transform. A dual reciprocity boundary element method (DRBEM) is employed to solve the Helmholtz equation numerically. Results obtained are found to be physically reasonable. 

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

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Published

2013-03-27

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Papers