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PERGAMON Computers and Mathematics with Applications 0 (2003) 10 www.elsevier.nl/locate/camwa
 

Summary: PERGAMON Computers and Mathematics with Applications 0 (2003) 10
www.elsevier.nl/locate/camwa
Existence and Uniqueness of Solutions
to Discrete Diffusion Equations
D. R. Anderson
Department of Mathematics and Computer Science, Concordia College
Moorhead, MN 56562, U.S.A.
andersod@cord.edu
R. I. Avery
College of Natural Sciences, Dakota State University
Madison, SD 57042, U.S.A.
averyr@pluto.dsu.edu
J. M. Davis
Department of Mathematics, Baylor University
Waco, TX 76798, U.S.A.
John M Davis@baylor.edu
Abstract--Motivated by the classical one-dimensional diffusion equation,
ut - kuxx = f(x, t), x R, t > 0,
u(x, 0) = (x), x R,
we find the unique solution of the partial difference equation

  

Source: Anderson, Douglas R. - Department of Mathematics and Computer Science, Concordia College

 

Collections: Mathematics