• SOLUTION OF HYPERBOLIC HEAT EQUATION

V.G. Gupta; Varun Jerath*

• SOLUTION OF HYPERBOLIC HEAT EQUATION

V.G. Gupta, Varun Jerath*

Abstract

This paper discusses the hyperbolic heat equation and its use in various fields, further we discuss the general form

u_t+ u_tt = (k(u)u_x)_x (1)

The solution is derived by the general prolongation formula in closed form in terms of symmetry groups. The advantage of using general prolongation formula lies in the fact that group invariant solutions of the Hyperbolic heat equation includes linearity and scaling symmetries.

Keywords

Space invariance, steel quenching, Radiofrequency heating, Translation.

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