Abstract
We give a class of step-by-step methods for the numerical solution of delay-integro-differential equations of the form \( y'\left( t \right) = G\left( {t,y\left( t \right),\int_{t - \tau }^t {K\left( {t,s,y\left( s \right)} \right)ds} } \right)\quad \left( {t \geqslant 0} \right) \) where τ is fixed, subject to an appropriate initial condition. We present a theory giving the order of convergence of such methods.
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Dedicated to Prof. Dr. Günther Hämmerlin
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© 1988 Springer Basel AG
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Baker, C.T.H., Ford, N.J. (1988). Convergence of Linear Multistep Methods for a Class of Delay-Integro-Differential Equations. In: Agarwal, R.P., Chow, Y.M., Wilson, S.J. (eds) Numerical Mathematics Singapore 1988. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 86. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6303-2_4
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DOI: https://doi.org/10.1007/978-3-0348-6303-2_4
Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-6303-2
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