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Zbl 1148.65312
Siraj-Ul-Islam; Azam Khan, Muhammad
A numerical method based on polynomial sextic spline functions for the solution of special fifth-order boundary-value problems. (English)
[J] Appl. Math. Comput. 181, No. 1, 356-361 (2006). ISSN 0096-3003

Summary: A second-order accurate numerical scheme is presented for the solution of special fifth-order boundary-value problems with two-point-boundary conditions. The polynomial sextic spline functions are applied to construct the numerical algorithm. Convergence of the method is discussed through standard convergence analysis. A numerical illustration is given to show the pertinent features of the technique.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
35B05 General behavior of solutions of PDE
65L20 Stability of numerical methods for ODE

Keywords: fifth-order boundary-value problem; polynomial sextic spline functions; numerical examples; two-point-boundary conditions; convergence

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Zentralblatt MATH Berlin [Germany]