Many important and significant problems in mathematics and in general in applied sciences are formulated through differential equations. In this webinar, we would like to combine an approach to the recent theory on some classes of differential equations, with considerable material and methods of solutions that have proved useful to a wide variety of applications, to methods have a systematic and orderly structure and not merely a miscellaneous collection of unrelated mathematical tricks.
Solving a difficult problem in differential equations often requires the use of a variety of tools, both analytical and numerical: the implementation of an efficient numerical procedure typically rest on a good deal of preliminary analysis, to determine the qualitative features of the solution of the solution as a guide to computation, to test limiting or special cases, and so forth.
Gaining an understanding of a complex natural process is often accomplished by combining or building upon simpler and more basic models.
In this webinar will be presented recent results regarding some relevant differential equations, as the Heun equations, where will review the current state of the theory of these equations, focusing on the expansion of solutions in simpler mathematical functions, primarily of the hypergeometric class and the Grad-Shafranov plasma equilibrium equation, in toroidal geometry, that has been the fundamental step towards the realization of the Tokamak configurations and, consequently on the route towards the achievements of the Fusion energy production, furthermore will be presented adaptive schemes for solving radial basis function collocation problems, which involve elliptic partial differential equations.
Date: 13 January 2023
Time: 10:00 am CET | 4:00 am EST | 5:00 pm CST Asia | 1:00 pm AMT (Armenia Time)
Webinar ID: 874 4552 9212
Webinar Secretariat: symmetry.webinar@mdpi.com