Numerical Treatment of Nonlinear Third Order Boundary Value Problem

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.

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.

Keywords

Nonlinear Third Order Boundary Value Problem, Nonpolynomial Quintic Spline, Draining and Coating Flows

Nonlinear Third Order Boundary Value Problem, Nonpolynomial Quintic Spline, Draining and Coating Flows

Cite this paper

nullP. 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.

nullP. Srivastava and M. Kumar, "Numerical Treatment of Nonlinear Third Order Boundary Value Problem,"

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