Some higher order methods for computing eigenvalues of two‐point boundary value problems

Riaz A. Usmani, Ravi P. Agarwal · Communications in Applied Numerical Methods · 1987

Abstract We present new finite difference methods of order at most O(h6) for computing eigenvalues of two‐point boundary value problems. Our methods lead to generalized seven‐band matrix eigenvalue problems. Some typical boundary value problems are treated numerically and these numerical results are summarized in order to demonstrate the practical usefulness of our algorithms.

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