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

2019 ◽  
Vol 3 (2) ◽  
Author(s):  
Falade Kazeem Iyanda ◽  
◽  
Ayodele Victoria Iyadunni ◽  
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
Third Order ◽  
Diffusion Boundary ◽  
Convection Diffusion

scholarly journals Exponential spline method for singularly perturbed third-order boundary value problems

2020 ◽  
Vol 53 (1) ◽  
pp. 360-372 ◽  
Author(s):  
Yohannis Alemayehu Wakjira ◽  
Gemechis File Duressa
Keyword(s):  
Boundary Value Problems ◽  
Present Method ◽  
Spline Function ◽  
Boundary Value ◽  
Perturbation Parameter ◽  
Accurate Solution ◽  
Singularly Perturbed ◽  
Spline Method ◽  
Third Order ◽  
Exponential Spline

Abstract The exponential spline function is presented to find the numerical solution of third-order singularly perturbed boundary value problems. Convergence analysis of the method is briefly discussed, and it is shown to be sixth order convergence. To validate the applicability of the method, some model problems are solved for different values of the perturbation parameter, and the numerical results are presented both in tables and graphs. Furthermore, the present method gives more accurate solution than some methods existing in the literature.

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