Sextic spline collocation methods for nonlinear fifth-order boundary value problems. (English) Zbl 1230.65086
The authors develop two sextic-spline collocation methods for approximating solutions of nonlinear fifth-order boundary-value problems. The first method uses a spline interpolant and the second one is based on a spline quasi-interpolant, which are constructed from sextic splines. Numerical examples confirm the second-order convergence predicted by the theoretical analysis.
Reviewer: Răzvan Răducanu (Iaşi)
MSC:
65L10 | Numerical solution of boundary value problems involving ordinary differential equations |
65L60 | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations |
34B15 | Nonlinear boundary value problems for ordinary differential equations |
65L20 | Stability and convergence of numerical methods for ordinary differential equations |
Keywords:
fifth-order boundary value problems; collocation method; sextic spline interpolant; quasi-interpolant; numerical examples; convergenceReferences:
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