A Starting Method for Solving Nonlinear Volterra Integral Equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1967Publisher:JSTORJournal:Mathematics of Computation, volume 21, page 179 (issn: 0025-5718,

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Authors: Day, J. T.;

doi: 10.2307/2004158 , 10.1090/s0025-5718-1967-0223119-6

A Starting Method for Solving Nonlinear Volterra Integral Equations

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Abstract

In this paper a fifth order starting method is given for Volterra equations of the form y ( t ) = f ( t ) + ∫ x 0 t k ( t , s , y ( s ) ) d s y(t) = f(t) + \int _{{x_0}}^t {k(t,s,y(s))} ds . Computational examples are given for the method as a starting method for the Gregory-Newton method.

Keywords

numerical analysis, Volterra integral equations, Numerical methods for integral equations

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