SOLVING DIRECT AND INVERSE HEAT CONDUCTION PROBLEMS USING CONVOLUTION - TYPE EQUATIONS

Yu. I. Aryutkin, V. F. Kuryakin, Yu. K. Semenov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1985. Вып.3. С. 52-55.

      Many direct and inverse heat couduction problems may be reduced to convolution-type equations using the Duhamel theorem. If certain conditions are met, the Green function does not need to be calculated, instead one may use data from two similar experiments. These problem solutions are obtained in a unigue manner with a FORTRAN program.