Quartic Nonpolynomial Spline Solutions for Third Order Two-Point Boundary Value Problem

In this paper, we develop quartic nonpolynomial spline method for the numerical solution of third order two point boundary value problems. It is shown that the new method gives approximations, which are better than those produced by other spline methods. Convergence analysis of the method is discussed through standard procedures. Two numerical examples are given to illustrate the applicability and efficiency of the novel method.

Authors:

• Talaat S. El-Danaf

Keywords:

• Quartic nonpolynomial spline
• Two-point boundary value problem.

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