  Based on the Lagrangian description of the dissipative oscillator, the
Hamiltonian description of Fourier heat conduction is treated here. The method
enables us to calculate the solution of thermal propagation involving the
Maxwell-Cattaneo-Vernotte (MCV) telegrapher type also, in which both the
initial and the boundary conditions are taken into account. The presented study
offers a new kind of solution to certain partial differential equations.
