Piecewise Legendre spectral-collocation method for Volterra integro-differential equations
نویسندگان
چکیده
منابع مشابه
Convergence Analysis of the Legendre Spectral Collocation Methods for Second Order Volterra Integro-Differential Equations
A class of numerical methods is developed for second order Volterra integrodifferential equations by using a Legendre spectral approach. We provide a rigorous error analysis for the proposed methods, which shows that the numerical errors decay exponentially in the L∞-norm and L-norm. Numerical examples illustrate the convergence and effectiveness of the numerical methods. AMS subject classifica...
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ژورنال
عنوان ژورنال: LMS Journal of Computation and Mathematics
سال: 2015
ISSN: 1461-1570
DOI: 10.1112/s1461157014000485