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Electronic Journal of Qualitative Theory of Differential Equations Spec. Ed. I, 2009 No. 4, 112; http://www.math.u-szeged.hu/ejqtde/
 

Summary: Electronic Journal of Qualitative Theory of Differential Equations
Spec. Ed. I, 2009 No. 4, 112; http://www.math.u-szeged.hu/ejqtde/
GREEN'S FUNCTION OF A CENTERED PARTIAL
DIFFERENCE EQUATION
Richard I. Avery 1
and Douglas R. Anderson 2
1
College of Arts and Sciences, Dakota State University
Madison, SD 57042 USA
e-mail: rich.avery@dsu.edu
2
Department of Mathematics and Computer Science, Concordia College
Moorhead, MN 56562 USA
e-mail: andersod@cord.edu
Honoring the Career of John Graef on the Occasion of His Sixty-Seventh Birthday
Abstract
Applying a variation of Jacobi iteration we obtain the Green's function for
the centered partial difference equation
wwu(xw-1, yz) + zzu(xw, yz-1) + f(u(xw, yz)) = 0,
which is the result of applying the finite difference method to an associated

  

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

 

Collections: Mathematics