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Applied Math Seminar presenting Professor Victor Ginting from University of Wyoming

This is a past event.

Friday, March 18, 2022 at 4:00pm to 5:00pm

DM - Deuxieme Maison, 409A
11200 SW 8th ST, Deuxieme Maison, Miami, Florida 33199

Please join us remotely for a seminar by Victor Ginting from Univeristy of Wyoming.

Abstract.

A semi-analytical solution of the Richards Equation on a two-layered one-dimensional soil is derived under a constraint that the constitutive relations are exponentially dependent on the pressure head. It allows for a transformation of the equation into a linear parabolic partial differential equation that governs a spatial-temporal function that represents the hydraulic conductivity. The solution is expressed as a linear combination of a set of eigenfunctions derived from a novel Sturm-Liouville problem that reflects the layer system and an auxiliary function that depends only on the spatial variable and the pressure head at the interface. All the relevant coefficients in the representation satisfy a nonlinear differential-algebraic system gathered from imposing the continuity of the pressure head and its flux at the interface. A Newton method of iteration is applied to solve the resulting algebraic system. Several pertinent numerical experiments demonstrating the approach are discussed.

This is joint work with Tilsa Aryeni, Department of Mathematics & Statistics, University of Wyoming

Hosted by Hakima Bessiah.

Dial-In Information

Join Zoom Meeting

https://fiu.zoom.us/j/93053884755?pwd=NWwyMTRBYlF2R29aVDVvdDR6VzU5QT09

Meeting ID: 930 5388 4755
Passcode: AAM2022

Event Type

Academics, Lectures & conferences

Audience

Students, Faculty & Staff

Tags

APPLIED MATHEMATICS

Department
Department of Mathematics and Statistics
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