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Solving Parabolic Integro-differential Equations by an Explicit Integration Method

A. S. Vasudeva MurthyJan G. Verwer

出版	Stichting Mathematisch Centrum, 1991
URL	http://books.google.com.hk/books?id=YS_5GgAACAAJ&hl=&source=gbs_api

註釋

Abstract: "The subject of this note is the numerical integration in time of nonclassical parabolic initial-boundary value problems which involve nonlocal integral terms over the spatial domain. The integral terms may appear in the boundary conditions and/or in the governing partial differential equation itself. These terms generally complicate the application of standard methods. Our purpose here is to draw attention to an explicit method, the Runge-Kutta-Chebyshev method, whose application remains straightforward in many cases of practical interest. We discuss two numerical examples to illustrate this. A comparison is made, respectively, with the implicit BDF code DASSL and with the Keller-box scheme."