... < 1 Hence, an auxiliary equation is needed to obtain an expression for D eff . Such an auxiliary equation, known as the nonfield solution of Eq. (2) , can be obtained by the method of Kulish [ 19 ]. For the problem in question, it is in the form [ 20 ] (4) j ( r , t...

...Vladimir Kulish; Pavel Sláma This paper presents an extension of the nonfield analytical method—known as the method of Kulish—to some nonlinear problems in heat transfer. In view of the fact that solving nonlinear problems is very complicated in general, the extension of the method is presented...