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Home  >  Transactions of NAMP VOL.9

4. MATHEMATICAL ANALYSIS OF A ONE-DIMENSIONAL, ADVECTION-DISPERSION EQUATION WITH A CONTINUOUS REACTIO3. REDUCED STEP POINT COLLOCATION INTERPOLATION METHOD FOR THE SOLUTION OF HEAT EQUATION by Sunday Babuba and I. A. Bakari Volume 9, (March and May, 2019
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MATHEMATICAL ANALYSIS OF A ONE-DIMENSIONAL, ADVECTION-DISPERSION EQUATION WITH A CONTINUOUS REACTION, INPUT POINT SOURCE DISCHARGE IN A MOVING STREAM WITH VARIABLE TRANSPORT PROPERTIES

Iyeme1 E. E. and Aiyesimi Y. M.

Department of Mathematics, Cross River University of Technology, Calabar.

Department of Mathematics, Federal University of Technology, Minna.

Abstract

In this work, semi analytical solution of a reactive Advection-Dispersion Equation (ADE) in one dimension describing the dispersion of a continuous type, input point source discharge in a moving stream, through a semi-infinite medium is presented using the He’s Homotopy Perturbation Method (HPM). Advection and dispersion coefficients are both considered as functions of distance and the solute concentration distribution as revealed in the graphs agree with the linearly time dependent assumption in real life.

Keywords: Reactive, Advection, Dispersion, Continuous-type, Semi-infinite medium

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