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SINGULARITAS JUMLAHAN SOLUSI FUNDAMENTAL PERSAMAAN DIFUSI DALAM PEMODELAN TRANSFER MASSA


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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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Last update: 2024-11-22 09:06:48

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