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Multiple integral-balance method: Basic idea and an example with Mullin's model of thermal grooving

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 (MIM) is based on multiple integration procedures with respect to the space coordinate 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
PAPER REVISED: 2017-05-02
PAPER ACCEPTED: 2017-05-03
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