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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Vydané v:Journal of applied mathematics Ročník 2012; číslo 2012; s. 1 - 10
Hlavní autori: Aslam Noor, Muhammad, Noor, Khalida Inayat, al-Said, Eisa A.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cairo, Egypt Hindawi Publishing Corporation 2012
ISSN:1110-757X, 1687-0042
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Abstract 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.
AbstractList 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.
Author Noor, Khalida Inayat
Aslam Noor, Muhammad
al-Said, Eisa A.
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