TWO NEW FINITE DIFFERENCE METHODS FOR COMPUTING EIGENVALUES OF A FOURTH ORDER LINEAR BOUNDARY VALUE PROBLEM

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 demonstra...

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Vydáno v:International Journal of Mathematics and Mathematical Sciences Ročník 1987; číslo 3; s. 525 - 529
Hlavní autoři: Usmani, Riaz A., Sakai, Manabu
Médium: Journal Article
Jazyk:angličtina
Vydáno: Hindawi Limiteds 1987
Wiley
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ISSN:0161-1712, 1687-0425
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Shrnutí: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.
Bibliografie:ObjectType-Article-2
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ObjectType-Feature-1
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ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171287000620