An O(h 6) quintic spline collocation method for fourth order two-point boundary value problems
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Publication:1106634
DOI10.1007/BF01934092zbMath0651.65063MaRDI QIDQ1106634
M. Irodotou-Ellina, Elias N. Houstis
Publication date: 1988
Published in: BIT (Search for Journal in Brave)
convergencecollocation methoderror analysisquintic splinesdeferred correction methodfourth-order linear two-point boundary value problems
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)
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Cites Work
- Unnamed Item
- An O(h 6) quintic spline collocation method for fourth order two-point boundary value problems
- Smooth spline approximations for the solution of a boundary value problem with engineering applications
- A cubic spline method for the solution of a linear fourth-order two-point boundary value problem
- Spline solutions for nonlinear fourth-order two-point boundary value problems
- A collocation method for boundary value problems
- Asymptotic Expansions for Interpolating Periodic Splines
- On the Effect of Boundary Conditions in Collocation by Polynomial Splines for the Solution of Boundary Value Problems in Ordinary Differential Equations
- The use of cubic splines in the solution of certain fourth order boundary value problems
- Linear Dependence Relations Connecting Equal Interval Nth Degree Splines and Their Derivatives