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Journal of Applied Mathematics and Computation

On Computational Assessment of Perturbation Parameter (Ɛ) on Third Order Singularly Perturbed Convection-Diffusion Boundary Value Problems

Author:Falade Kazeem Iyanda, Ayodele Victoria Iyadunni Date:February 25,2019 Hits:

Abstract

Two point boundary value problems for third order singularly perturbed ordinary differential equation in which the highest order derivative is multiplied by perturbation parameter ε was examined. Exponentially Fitted Collocation Approximate Method was
proposed and employed to assess the effect of perturbation parameter (ɛ) on the highest derivation of the singularly perturbed convection-diffusion equation. The perturbation parameter (ɛ) was varied from 0.5 to 0.1 and obtained the corresponding solutions of y(x). The results demonstrate that this method is very convenient for solving boundary value problems and also can be successfully apply to a lot of practical engineering and physical problems.

References

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On Computational Assessment of Perturbation Parameter (Ɛ) on Third Order Singularly Perturbed Convection-Diffusion Boundary Value Problems


Falade Kazeem Iyanda 1 and Ayodele Victoria Iyadunni 2

1 Department of Mathematics, Faculty of Computing and Mathematical Sciences, Kano University of Science and Technology, P.M.B 3244 Wudil, Kano State Nigeria.

2 Department of Computer Science and Mathematics, Faculty of Science, Nigeria Police Academy Wudil Kano State Nigeria.

*Corresponding author: Falade Kazeem Iyanda, Department of Mathematics, Faculty of Computing and Mathematical Sciences, Kano University of Science and Technology, P.M.B 3244 Wudil, Kano State Nigeria.

Email: faladekazeem2016@kustwudil.edu.ng

How to cite this paper: Falade K.I., Ayodele V.I. (2019) On Computational Assessment of Perturbation Parameter (Ɛ) on Third Order Singularly Perturbed Convection-Diffusion Boundary Value Problems. Journal o f Applied

Mathematics and Computation, 3(2), 583-590.

DOI: 10.26855/jamc.2019.02.001

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