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W1975439458 abstract "In this paper, we are concerned with the solution of a class of boundary value problems −y″+f(x)y=λy, y(0)=0, y(∞)=0, where f(x) monotonically increases to infinity as n increases to infinity. We use finite difference scheme to reduce the system to an equivalent system of an infinite linear algebraic eigenvalue problem. We give a precise error analysis for the eigenvalues of the approximate system and an error analysis for the continuous system under the condition that |yiv(x)| is bounded. The theory is applied to compute the eigenvalues when f(x)=x2 for which explicit solutions are known." @default.
W1975439458 created "2016-06-24" @default.
W1975439458 creator A5069756075 @default.
W1975439458 creator A5078014413 @default.
W1975439458 date "2007-08-01" @default.
W1975439458 modified "2023-09-26" @default.
W1975439458 title "On the eigenvalue problem <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si10.gif display=inline overflow=scroll><mml:mo>−</mml:mo><mml:msup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>″</mml:mo></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mi>λ</mml:mi><mml:mi>y</mml:mi></mml:math> on a semi infinite interval" @default.
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W1975439458 doi "https://doi.org/10.1016/j.mcm.2006.09.017" @default.
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