DUAL SERIES METHOD FOR SOLVING HEAT EQUATION WITH MIXED BOUNDARY CONDITIONS

The paper is devoted to solving a nonhomogeneous nonstationary heat equation in cylindrical coordinates with a nonaxial symmetry. This equation is subjected to nonhomogeneous, mixed, and discontinuous boundary conditions of the second and third kinds that are specified on the disk of a finite cylinder surface. In fact, the solution of the given problem is obtained by using a new type of dual series equations (DSEs) with the Bessel function of the first kind. In particular, DSEs reduce the problem to a Fredholm integral equation of the second kind which can be solved numerically by several efficient methods.
  Автор:  N. A. Hoshan, Y. A. Al-Jarrah, A. A. Al-Habahbeh
Ключевые слова:  nonstationary heat equation, dual series equations, mixed boundary conditions
Стр:  342