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M. Pei and S. K. Chang, “Existence and Uniqueness of Solutions for Third—Order Nonlinear Boundary Value Problems,” Journal of Mathematical Analysis and Application, Vol. 327, 2007, pp. 23-35. doi:10.1016/j.jmaa.2006.03.057

has been cited by the following article:

• TITLE: Numerical Treatment of Nonlinear Third Order Boundary Value Problem

  AUTHORS: Pankaj Kumar Srivastava, Manoj Kumar

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

  JOURNAL NAME: Applied Mathematics, Vol.2 No.8, August 24, 2011

  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.