MATEMATIKA
Vol 9, No 2 (2006): JURNAL MATEMATIKA

SINGULARITAS JUMLAHAN SOLUSI FUNDAMENTAL PERSAMAAN DIFUSI DALAM PEMODELAN TRANSFER MASSA

Cahyono, Edi (Unknown)
Kartono, Kartono (Unknown)



Article Info

Publish Date
26 Jan 2012

Abstract

This paper discusses the sum of fundamental solutions of 2-D diffusion equation (for constant diffusion rate). Although a linear diffusion equation is considered, the sum of fundamental solutions is not automatically a solution. This is because of the presence of a singularity at the origin O. In this paper, it will be shown that the sum of fundamental solutions is a solution of the primitive of diffusion equation, diffusion equation in an integral form. It is also shown that the sum of fundamental solutions represents mass tranfer process caused by a source that impulsively releases  some amount of mass.

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