The Numerical Solution of Third-order Boundary-value Problems using Quintic Splines - RETRACTED ARTICLE

We present a fourth-order method based on quintic splines for the solution of third-order linear and non-linear boundary-value problems of the form y^{\prime\prime\prime} = f(x,y) , a\le x \le b subject to the boundary conditions y(a) = k_1 , y^{\prime}(a) = k_2 , y(b) = k_3 . Numerical examples are given to illustrate the method and their convergence.

Keywords:

• Third-order Boundary-value Problems
• Quintic Splines
• Five Band System

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