Lisina O. Mathinatical modeling of heat processes by the mashless methods using the atomic functions

Non-stationary heat fields, the development of mathematical tools for solving 3D boundary value problems of heat conduction, mathematical tools of the R-functions theory, atomic radial basis function, the methods of computational mathematics and computer modeling; new meshfree methods for solving boundary value problems of heat conduction for 3D regions using ARBF are created, new classes ARBF are constructed at first time, meshless methods using ARBF are developed at first time, boundary value problems for multiply connected 3D region are solved at first time. Results of thesis were introduced in the educational process KhNAHU. Application: machine construction.