The solution of Volterra integral equations of the first kind using inverted differentiation formulae
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Numerical differentiation formulae are “inverted” to derive quadrature rules which are then applied to integral equations of the first kind. The resulting methods are explicit and correspond to local differentiation formulae. The methods are shown to be convergent provided that a suitable choice of parameters is made.
KeywordsIntegral Equation Computational Mathematic Local Differentiation Suitable Choice Quadrature Rule
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- 1.P. Anselon (Ed),Nonlinear integral equations, University of Winconsin Press, Madison (1964).Google Scholar
- 2.P. J. Davis,Interpolation and approximation, Blaisdell (1963).Google Scholar
- 3.C. J. Gladwin and R. Jeltsch,Stability of quadrature rule methods for first kind Volterra integral equations, BIT 14 (1974), 144–151.Google Scholar
- 4.C. J. Gladwin,Numerical solution of Volterra equations of the first kind, Thesis, Dalhousie University (1975).Google Scholar
- 5.P. Henrici,Discrete variable methods in ordinary differential equations, Wiley (1962).Google Scholar