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J. S. Aroloye

Department of Mathematics, University of Lagos, Nigeria

2 Publications
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Publications 2

1
Research Article Vol. 28, Issue 1

Determination of Consistent Performance of Lax-Friedrichs Method in Solving Seepage Problem

F. D. Bakare*, I. O. Abiala, J. S. Aroloye

We developed a consistent Lax-Friedrichs method for numerical solution of the seepage problem subject to some initial and boundary conditions. We also compared the result obtained using numerical method (Lax-Friedrichs) with the result obtained using Alternating Direction Implicit finite difference method (ADIS). The scheme developed was found to b...

2
Research Article Vol. 27, Issue 1

Modeling The Fluid Flow for Seepage Problem: A Crank-Nicolson Approach

A. A. Hassan*, I. O. Abiala, J. S. Aroloye

The two-dimensional Laplace equation (which models the fluid flow of the seepage problem) was solved by a finite difference method, which is the Crank-Nicolson Method (CNM) subject to some boundary and initial conditions. We compared the numerical results of CNM to the Alternating Direction Explicit Finite Difference Scheme (ADES). First, we derive...

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