Finite Difference Method for Solving a System ofThird-Order Boundary Value Problems

We develop a new-two-stage finite difference method for computing approximate solutions of a system of third-order boundary value problems associated with odd-order obstacle problems. Such problems arise in physical oceanography (Dunbar (1993) and Noor (1994), draining and coating flow problems (E....

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Bibliographic Details
Published in:	Journal of applied mathematics Vol. 2012; no. 2012; pp. 1 - 10
Main Authors:	Aslam Noor, Muhammad, Noor, Khalida Inayat, al-Said, Eisa A.
Format:	Journal Article
Language:	English
Published:	Cairo, Egypt Hindawi Publishing Corporation 2012
ISSN:	1110-757X, 1687-0042
Online Access:	Get full text
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Summary:	We develop a new-two-stage finite difference method for computing approximate solutions of a system of third-order boundary value problems associated with odd-order obstacle problems. Such problems arise in physical oceanography (Dunbar (1993) and Noor (1994), draining and coating flow problems (E. O. Tuck (1990) and L. W. Schwartz (1990)), and can be studied in the framework of variational inequalities. We show that the present method is of order three and give numerical results that are better than the other available results. Numerical example is presented to illustrate the applicability and efficiency of the new method.
ISSN:	1110-757X 1687-0042
DOI:	10.1155/2012/351764