A New Fourth-order Finite-difference Method for Computing Eigenvalues of Fourth-order Two-point Boundary-value Problems

1 July 1983

journal article
Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis

Vol. 3 (3) , 291-293
https://doi.org/10.1093/imanum/3.3.291

Abstract

We present a new finite-difference method for computing eigenvalues of two-point boundary-value problems involving a fourth-order differential equation. Our finite-difference method leads to a generalized seven-diagonal symmetric-matrix eigenvalue problem and provides O(h⁴)-convergent approximations for the eigenvalues.

Keywords

FINITE DIFFERENCE METHOD
DIFFERENTIAL
MATRIX
CONVERGENT
FOURTH ORDER
DIAGONAL

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