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Abstract
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Article Information:
Quartic Non-polynomial Spline Solution of a Third Order Singularly Perturbed Boundary Value Problem
Ghazala Akram and Imran Talib
Corresponding Author: Ghazala Akram
Submitted: October 03, 2013
Accepted: November 26, 2013
Published: June 20, 2014 |
Abstract:
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In this study, the non-polynomial spline function is used to find the numerical solution of the third order singularly perturbed boundary value problems. The convergence analysis is discussed and the method is shown to have second order convergence. The order of convergence is improved up to fourth order using the improved end conditions. Numerical results are given to describe the efficiency of the method and compared with the method developed by Akram (2012), which shows that the present method is better.
Key words: Boundary layers, monotone matrices, quartic non-polynomial spline, singularly perturbed boundary value problems, uniform convergence, ,
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Abstract
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Cite this Reference:
Ghazala Akram and Imran Talib, . Quartic Non-polynomial Spline Solution of a Third Order Singularly Perturbed Boundary Value Problem. Research Journal of Applied Sciences, Engineering and Technology, (23): 4859-4863.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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