Numerical Processing of The Two Dimensional Inverse Laplace Transform and Its Application to Equation of Heat Conduction

Abstract

The numerical inversion of the Laplace transform is used effectively in many fields where analytical processing is difficult or impossible. The same situation occurs in the two dimensional inverse Laplace transform. To solve such a problem, a numerical processing of the two dimensional inverse Laplace transform is presented. The numerical inversion formulas and their computer algorithms are shown. As an example of the two dimensional inversion method, the equation of heat conduction is analysed for various conditions.