Applied Mathematics

Volume 2, Issue 8 (August 2011)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

Numerical Treatment of Nonlinear Third Order Boundary Value Problem

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DOI: 10.4236/am.2011.28132    7,271 Downloads   13,372 Views  Citations

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ABSTRACT

In this paper, the boundary value problems for nonlinear third order differential equations are treated. A generic approach based on nonpolynomial quintic spline is developed to solve such boundary value problem. We show that the approximate solutions of such problems obtained by the numerical algorithm developed using nonpolynomial quintic spline functions are better than those produced by other numerical methods. The algorithm is tested on a problem to demonstrate the practical usefulness of the approach.

Share and Cite:

P. Srivastava and M. Kumar, "Numerical Treatment of Nonlinear Third Order Boundary Value Problem," Applied Mathematics, Vol. 2 No. 8, 2011, pp. 959-964. doi: 10.4236/am.2011.28132.

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