On an approach to the approximation of a solution of problems for the heat-conduction equation without boundary-value or initial conditions

We propose an approach to the approximation of solutions of problems for the heat-conduction equation without initial or boundary-value conditions. The solution is given as a sum of odd and even functions, and this allows one to reconstruct conditions missed in the initial setting of the problem. The method is illustrated with test examples. Bibliography: 1 title. Translated fromObchyslyuval'na ta Prykladna Matematyka, No. 81, 1997, pp. 49–53.