The Effect of Decaying Diffusion And Exponential Advection Parameters On Water Quality In Aquifer

Dr. George Ochieng Ogongo

doi:https://doi.org/10.14445/22315373/IJMTT-V67I6P514

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 6 | Year 2021 | Article Id. IJMTT-V67I6P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I6P514

The Effect of Decaying Diffusion And Exponential Advection Parameters On Water Quality In Aquifer

Dr. George Ochieng Ogongo

Abstract

The paper studies the effect of decaying diffusion parameter and exponential advection parameter on the quality of water in aquifer. Taylor series expansion is used to generate the finite difference scheme of Alternating Direction Explicit (ADE) scheme and Alternating Direction Implicit (ADI) scheme. The two schemes are found to be consistent and stable with the model equations.

Keywords

(3+1) Dimensional Advection Diffusion Equation, Partial Differential Equations (PDE’S), Alternating Direction Explicit (ADE) scheme, Alternating Direction Implicit (ADI) scheme.

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Citation :

Dr. George Ochieng Ogongo, "The Effect of Decaying Diffusion And Exponential Advection Parameters On Water Quality In Aquifer," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 6, pp. 125-130, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I6P514