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A numerical method based on polynomial sextic spline functions for the solution of special fifth-order boundary-value problems. (English) Zbl 1148.65312
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:
65L10Boundary value problems for ODE (numerical methods)
35B05Oscillation, zeros of solutions, mean value theorems, etc. (PDE)
65L20Stability and convergence of numerical methods for ODE
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References:
[1] Davies, A. R.; Karageoghis, A.; Phillips, T. N.: Spectral Galerkin methods for the primary two-point boundary-value problem in modeling viscoelastic flows. Int. J. Numer. methods eng. 26, 647-662 (1988) · Zbl 0635.73091
[2] Karageoghis, A.; Phillips, T. N.; Davies, A. R.: Spectral collocation methods for the primary two-point boundary-value problem in modeling viscoelastic flows. Int. J. Numer. methods eng. 26, 805-813 (1988) · Zbl 0637.76008
[3] Agarwal, R. P.: Boundary-value problems for higher order differential equations. (1986) · Zbl 0619.34019
[4] M.S. Khan, Finite difference solutions of fifth-order boundary-value problems, PhD Thesis, Brunel University, England, 1994.
[5] Wazwaz, Abdul Majid: The numerical solution of fifth-order boundary-value problems by domain decomposition method. J. comput. Appl. math. 136, 259-270 (2001) · Zbl 0986.65072
[6] Fyfe, D. J.: Linear dependence relations connecting equal interval nth degree splines and their derivatives. J. inst. Math. appl. 7, 398-406 (1971) · Zbl 0219.65010
[7] Calgar, H. N.: The numerical solution of fifth-order boundary-value problems with sixth-degree B-spline functions. Appl. math. Lett. 12, 25-30 (1999) · Zbl 0941.65073