![]() ![]() Schlömilch (1857) used the name Bessel functions for these solutions, E. Substituting the series into the differential equation produces the following solutions: Bessel (1816, 1824) who built two partial solutions and of the previous equation in the form of series: ![]() This equation with concrete values of the parameter appeared in the articles by F. The most powerful was the separation of variables method, which in polar coordinates often leads to ordinary differential equations of special structure: Different methods were used to investigate these equations. These equations were named Laplace, d`Alembert (wave), Poisson, Helmholtz, and heat (diffusion) equations. Many different‐looking processes satisfy the same partial differential equations. ![]() The Bessel functions have been known since the 18th century when mathematicians and scientists started to describe physical processes through differential equations. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |