Two Methods of Solving Heat and Wave Problems

R.T. Couto
2008 TEMA  
Two methods of solving a large class of heat and wave problems are described. The problems are two-dimensional and exhibit not only non-homogeneity of the differential equation and of the initial and boundary conditions but also time dependence of the sources and of the initial and boundary data. The two corresponding solutions are proved to be equal, and an illustration of the methods is provided by applying them to solve a specific problem using the polar coordinates.
doi:10.5540/tema.2008.09.01.0063 fatcat:lsyjtgsa5bdddetavzymb3rgje