Mathematical investigation of thermal structure in thin layer of sea surface

The thesis consists of three parts. In this thesis, heat distrubition dynamics on the surface of the sea water is investigated. For this purpose, it is given to definations and concepts required for the next chapter in this part of this thesis. In the second section, Green's function which is used for the solution of partial differential equations is founded and presentation of this solution which is expressed with the help of green function has been found. After this step, heat distribution event on the surface of sea water forms the basis of the thesis. Heat equation has a special resource function epressing this event. Initial boundary value problem solving is written for the heat equation and this solution has been investigated. Considering the problem is solved by three different methods. Characteristic of the source function raises difficulties to the application of conventional methods known in the literature. Therefore, the finite difference method is proposed in this thesis and the solution of the problem is approximately obtained.To evaluate this solution, we take into account the real solution to the problem is obtained by Fourier series method and then is obtained by applying the residual method. The obtained results reflect the physical structure of the event.