An effective method for numerical solution and numerical derivatives for sixth order two-point boundary value problems

2015 ◽  
Vol 55 (5) ◽  
pp. 811-822 ◽  
Author(s):  
Feng-Gong Lang ◽  
Xiao-Ping Xu
Keyword(s):  
Numerical Solution ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Sixth Order ◽  
Point Boundary

scholarly journals Parametric quintic spline solution for sixth order two point boundary value problems

Filomat ◽  
2012 ◽  
Vol 26 (6) ◽  
pp. 1233-1245 ◽  
Author(s):  
Arshad Khan ◽  
Talat Sultana
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Sixth Order ◽  
Point Boundary ◽  
Spline Method ◽  
Quintic Spline ◽  
Practical Usefulness ◽  
Special Case ◽  
Boundary Equations

In this paper, parametric quintic spline method is presented to solve a linear special case sixth order two point boundary value problems with two different cases of boundary conditions. The method presented in this paper has been shown to be second and fourth order accurate. Boundary equations are derived for both the cases of boundary conditions. Convergence analysis of these methods are discussed. The presented method is tested on four numerical examples of linear sixth order boundary value problems. Comparison is made to show the practical usefulness of the presented method.

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