Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/4593
Title: On the stability of a class of splitting methods for integro-differential equations
Authors: Araújo, A. 
Branco, J. R. 
Ferreira, J. A. 
Keywords: Integro-differential equations; Splitting methods; Stability; Convergence
Issue Date: 1-Sep-2008
Keywords: Integro-differential equations; Splitting methods; Stability; Convergence
Issue Date: 1-Sep-2008
Citation: Applied Numerical Mathematics. In Press, Corrected Proof:
Abstract: The classical convection-diffusion-reaction equation has the unphysical property that if a sudden change in the dependent variable is made at any point, it will be felt instantly everywhere. This phenomena violate the principle of causality. Over the years, several authors have proposed modifications in an effort to overcome the propagation speed defect. The purpose of this paper is to study, from analytical and numerical point of view a modification to the classical model that take into account the memory effects. Besides the finite speed of propagation, we establish an energy estimate to the exact solution. We also present a numerical method which has the same qualitative property of the exact solution. Finally we illustrate the theoretical results with some numerical simulations.
URI: http://hdl.handle.net/10316/4593
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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