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Stability analysis of product θ-methods for Abel integral equations of the second kind (1986)

Bakke, V. L. ; Jackiewicz, Z.

Springer

Numerische Mathematik 48 (1986), S. 127-136

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ISSN: 0945-3245

Keywords: AMS(MOS): 65R20 ; CR: G1.9

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary Stability analysis of product θ-methods for Abel integral equations of the second kind, based on the test equation $$y(t) = 1 - \lambda \int\limits_0^1 {\frac{{y(s)}}{{(t - s)^\alpha }}} ds,t \geqq 0,$$ 0〈α〈1, is presented. It is known that the solutionY of this equation is bounded if and only if λ〉0 and we investigate whether this property is inherited by numerical approximations toY.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01389867

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