Symmetric Hybrid Linear Multistep Method for General Third Order Differential Equations - Open Access Library Journal

OALibJ > Vol.3 No.4, April 2016

Open Access Library Journal

Volume 3, Issue 4 (April 2016)

ISSN Print: 2333-9705 ISSN Online: 2333-9721

Google-based Impact Factor: 0.73 Citations

Symmetric Hybrid Linear Multistep Method for General Third Order Differential Equations ()

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DOI: 10.4236/oalib.1102583 1,052 Downloads 2,668 Views Citations

Author(s)

Friday Oghenerukevwe Obarhua^*, Sunday Jacob Kayode

Affiliation(s)

Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria.

ABSTRACT

A symmetric hybrid linear multistep method for direct solution of general third order ordinary differential equations is considered in this paper. The method is developed by interpolation and collocation approach using a combination of power series and exponential function as basis function. The consistency, stability, order and error constant of the method were determined. The results showed that the method is consistent, zero stable and of order five with low error constant. The accuracy compared favorably over existing methods with higher order of accuracy.

KEYWORDS

Symmetric, Hybrid Method, Exponential Function, Interpolation, Collocation

Share and Cite:

Obarhua, F. and Kayode, S. (2016) Symmetric Hybrid Linear Multistep Method for General Third Order Differential Equations. Open Access Library Journal, 3, 1-8. doi: 10.4236/oalib.1102583.

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