Open AccessMultiple integral-balance method: Basic idea and an example with Mullin’s model of thermal grooving
Author(s) -
Jordan Hristov
Publication year - 2017
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci170410124h
Subject(s) - generalization , diffusion , balance (ability) , mathematics , space (punctuation) , thermal , heat equation , mathematical analysis , computer science , calculus (dental) , thermodynamics , physics , medicine , physical medicine and rehabilitation , operating system , dentistry
A multiple integration technique of the integral-balance method allowing solving high-order diffusion equations is conceived in this note. The new method termed multiple-integral balance method is based on multiple integration procedures with respect to the space co-ordinate and is generalization of the widely applied heat-balance integral method of Goodman and the double integration method of Volkov. The method is demonstrated by a solution of the linear diffusion models of Mullins for thermal grooving