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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 11 > No. 3

 
   

Discrete Spline Solution for General Type Variational Problems

PP: 659-667
doi:10.18576/amis/110304
Author(s)
W. K. Zahra, M. Van Daele,
Abstract
In this paper, a discrete quintic spline method is developed for the solution of general type variational problem with the Lagrangian that depends on the minimizer and its higher derivatives. The proposed technique depends on an arbitrary parameter µ which enables us to construct discrete splines with high order accuracy. These methods are shown to be of fourth order. Numerical illustrations are given to demonstrate the validity and the effectiveness of the proposed approach

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