Numerical investigation of the blow-up problem in the solution of one dimensional nonlinear parabolic equation

In the thesis, Kuazi linear parabolic equations from second step which has nonlinear function owner and are written researched which generalized beginning value problem. Before, the real solution of questions features are researched, take into consideration real solution differential features, two types cooperative problems were suggested. When real solution has weak and discontinuity dots, first type cooperative problem was suggested and efficient algorithms were suggested for basic problems numeric solution. If real solution has first type discontinuity, the second type cooperative problem is suggested. Suggested cooperative problems allow to find and research numeric solution which is generalized function. These written algorithms are tested by so many computers.