DUAL SERIES METHOD FOR SOLVING A 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 specifi ed on the disk of a fi nite cylinder surface. In fact, the solution of the given problem is obtained by using a new type of dual series equations (DSEs) with a Bessel function of the fi rst kind. In particular, DSEs reduce the problem to a Fredholm integral equation of the second kind which can be solved numerically by several effi cient methods.
   
Author:  N. A. Hoshan, Y. A. Al-Jarrah, and A. A. Al-Habahbeh
Keywords:  nonstationary heat equation, dual series equations, mixed boundary conditions
Page:  326