The matematical technology is stated decisions of linear and nonlinear regional problems. On the basis of methods quasi-linearisatoin, operational calculation and splitting on to spatial variableare received exact and apprximate the analytical decisions of the equations in private derivatives of the first and second order. Conditions of unequivocal resolvability of a nonlinear regional problem are found and is given by an estimation of speed of convergence of iterative process. On an example of trial functions results of comparison of the analytical are resulted the decisions received on offered mathematical technology, with the decisionof regional problems and with numerical decisions on known methods. Comparison of accuracy of the analytical decision, received in the book, with the known analytical decision of the interfaced problem of heat exchange is resulted. For scie.