Article ID Journal Published Year Pages File Type
4641597 Journal of Computational and Applied Mathematics 2010 5 Pages PDF
Abstract

In this paper, we study a class of generalized diffusion–reaction equations of the form ∂u∂t(x,t)=(Au(⋅,t))(x)+f(x,u(x,t)), where AA is a pseudodifferential operator which generates a Feller semigroup. Using the Trotter product formula we give a corresponding discrete time integro-difference equation for numerical solutions.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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