A Laplace transform DRBEM with a predictor–corrector scheme for time-dependent infiltration from periodic channels with root-water uptake. (January 2015)

• Record Type: Journal Article
• Authors: Solekhudin, Imam; Ang, Keng-Cheng
• Is Part Of: Engineering analysis with boundary elements. Volume 50(2015:Jan.)
• Page Start: 141
• Page End: 147
• Publication Date: 2015-01
• Subjects: Richard׳s equation -- Helmholtz equation -- DRBEM -- Predictor–corrector -- Laplace transform -- Root water uptake; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2014.08.011
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: A problem involving time-dependent infiltration from periodic channels with root-water uptake is governed by Richards equation. To study the problem numerically, the governing equation is transformed into a modified Helmholtz equation using the Kirchhoff transformation, dimensionless variables, and Laplace transforms. The modified Helmholtz equation is then solved numerically using a dual reciprocity boundary element method (DRBEM) and a predictor–corrector scheme simultaneously. A numerical inverse Laplace transform is employed to obtain numerical solutions of the problem.