Stability of Collocation Methods for Volterra Integro-Differential Equations
نویسندگان
چکیده
منابع مشابه
Multistep collocation methods for Volterra integro-differential equations
Keywords: Volterra integro-differential equations Multistep collocation Superconvergence Stability a b s t r a c t Multistep collocation methods for Volterra integro-differential equations are derived and analyzed. They increase the order of convergence of classical one-step collocation methods, at the same computational cost. The numerical stability analysis is carried out and classes of A 0-s...
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A collocation procedure is developed for the linear and nonlinear Fredholm and Volterra integro-differential equations, using the globally defined B-spline and auxiliary basis functions.The solution is collocated by cubic B-spline and the integrand is approximated by the Newton-Cotes formula. The error analysis of proposed numerical method is studied theoretically. Numerical results are given t...
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ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 1992
ISSN: 0897-3962
DOI: 10.1216/jiea/1181075711