Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem
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Date
1987-1-1
Authors
Usmani, Riaz A.
Sakai, Manabu
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Abstract
This paper 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 differential equation of the form (py″)′′+(q−λr)y=0. Numerical results for two typical eigenvalue problems are tabulated to demonstrate practical usefulness of our methods.
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Riaz A. Usmani and Manabu Sakai, “Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem,” International Journal of Mathematics and Mathematical Sciences, vol. 10, no. 3, pp. 525-529, 1987. doi:10.1155/S0161171287000620