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Mathematics of Computation

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A first order method for differential equations of neutral type


Authors: R. N. Castleton and L. J. Grimm
Journal: Math. Comp. 27 (1973), 571-577
MSC: Primary 65L05
DOI: https://doi.org/10.1090/S0025-5718-1973-0343621-9
MathSciNet review: 0343621
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Abstract: A first order method is presented for solution of the initial-value problem for a differential equation of neutral type with implicit delay in the critical case where the time-lag is zero and the method of stepwise integration does not apply. A convergence theorem is proved, and numerical examples are given.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1973-0343621-9
Keywords: Equations of neutral type, functional-differential equations, implicitdelay equations, numerical methods
Article copyright: © Copyright 1973 American Mathematical Society