Finite-difference methods for the solution of special eighth-order boundary-value problems

Abstract

A family of finite-difference methods is developed for the solution of special nonlinear eighth-order boundary-value problems. Methods with second-, fourth-, sixth- and eighth-order covergence are contained in the family.

The problem is also solved by writing the eighth-order differential equation as a system of four second-order differential equations. A second-order method is then used to obtain the solution.

Keywords:

• Eighth-order boundary-value problems
• finite difference methods

¹Department of Mathematics and Statistics, Brunel University, Uxbridge, Middlesex, England, UB8 3PH

²Departement de Mathematiques, Universite Mohamed Premier, Oujda, Maroc (Morocco).

^*To whom all correspondence and requests for off-prints should be addressed.

¹Department of Mathematics and Statistics, Brunel University, Uxbridge, Middlesex, England, UB8 3PH

²Departement de Mathematiques, Universite Mohamed Premier, Oujda, Maroc (Morocco).

^*To whom all correspondence and requests for off-prints should be addressed.

Notes

¹Department of Mathematics and Statistics, Brunel University, Uxbridge, Middlesex, England, UB8 3PH

²Departement de Mathematiques, Universite Mohamed Premier, Oujda, Maroc (Morocco).

^*To whom all correspondence and requests for off-prints should be addressed.

Additional information

Notes on contributors

A. Boutayeb

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