Finite difference methods for computing eigenvalues of fourth order boundary value problems

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Date
1986-1-1
Authors
Usmani, Riaz A.
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Abstract
This brief report describes some new finite difference methods of order 2 and 4 for computing eigenvalues of a two point boundary value problem associated with a fourth order linear differential equation y(4)+(p(x)−λq(x))y=0. These methods are derived from the formulah4y1(4)=(δ4−16δ6+7240δ8−…)yi.Numerical results are included to demonstrate practical usefulness of our methods.
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Riaz A. Usmani, “Finite difference methods for computing eigenvalues of fourth order boundary value problems,” International Journal of Mathematics and Mathematical Sciences, vol. 9, no. 1, pp. 137-143, 1986. doi:10.1155/S0161171286000170
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http://hdl.handle.net/1993/23797
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