OPERATIONAL CALCULUS METHOD FOR NONSTATIONARY HEAT EQUATION WITH MIXED BOUNDARY CONDITIONS

Saleh A. Abushendi (Jordan)

Received February 18, 2008

Abstract

Paper devoted to dual integral equations involving nonstationary heat condition equation in the Laplace transform image (L-transform) for two dimentional symmetrical under mixed discontinuous boundary conditions acted on level surface of semi-space cylindrical coordinates on  where the line of discontinuity is the disk  thus it requires to investigate the solution of parabolic partial differential equations with mixed boundary conditions by using classical methods (Laplace transform and separation of variables). The solution for the given boundary value problem is given in the form of Fredholm integral equation of the second kind with unknown function kernel and free time dependence of an L-transform parameter.

Keywords and phrases: dual integral equation, mixed boundary conditions, heat equation.