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Quadrature rule methods for Volterra integral equations of the first kind


Author: Charles J. Gladwin
Journal: Math. Comp. 33 (1979), 705-716
MSC: Primary 65R20; Secondary 65D32
DOI: https://doi.org/10.1090/S0025-5718-1979-0521284-2
MathSciNet review: 521284
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Abstract: A new class of quadrature rule methods for solving nonsingular Volterra integral equations of the first kind are introduced; these methods are based on an appropriate modification of the higher-order Newton-Gregory methods which are known to be divergent. Methods up to order six are constructed explicitly and illustrated with numerical examples.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1979-0521284-2
Keywords: Quadrature rule methods, Volterra integral equations of the first kind
Article copyright: © Copyright 1979 American Mathematical Society