A five-diagonal finite-difference method based on mixed-type interpolation for computing eigenvalues of fourth-order two-point boundary-value problems

DOI10.1016/0377-0427(92)90142-KzbMath0759.65055MaRDI QIDQ1195398

Marnix van Daele, H. E. De Meyer, Guido Vanden Berghe

Publication date: 26 October 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesnumerical experimentsparallel computingfinite-difference methodmixed interpolationfourth-order two-point boundary-value problem

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

Mixed interpolation methods with arbitrary nodes ⋮ Use of a shooting method to compute eigenvalues of fourth-order two-point boundary value problems

Cites Work

• On a new type of mixed interpolation
• Finite difference methods for a certain two point boundary value problem
• Smooth spline approximations for the solution of a boundary value problem with engineering applications
• A new symmetric five-diagonal finite difference method for computing eigenvalues of fourth-order two-point boundary value problems
• Discrete methods for boundary value problems with applications in plate deflection theory
• On the error estimation for a mixed type of interpolation
• Finite difference methods for solving
• A New Fourth-order Finite-difference Method for Computing Eigenvalues of Fourth-order Two-point Boundary-value Problems
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