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Numerical methods for singular nonlinear integro-differential equations

Maass, Peter
Published in Applied Numerical Mathematics. 1987, vol. 3, no. 3, p. 243-256
Abstract For the numerical integration of singular nonlinear integro-differential equations we consider fractional linear multistep methods. We prove convergence of these methods and discuss their stability (as an extension of A-stability for stiff differential equations). Numerical experiments with the Basset equation are included.
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HAIRER, Ernst, MAASS, Peter. Numerical methods for singular nonlinear integro-differential equations. In: Applied Numerical Mathematics, 1987, vol. 3, n° 3, p. 243-256. https://archive-ouverte.unige.ch/unige:12469

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Deposited on : 2010-11-16

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