NUMERICAL INVERSION OF 2-D LAPLACE TRANSFORMS APPLIED TO NONHOMOGENEUS PARABOLIC DIFFERENTIAL EQUATIONS

In this paper we introduce two algorithms for numerical inversion of the double Laplace transforms with multy-precision computing. Next, we applied these algorithms to a some of non homogeneuse Parabolic differential equations. Finally we compare the inversion results to the analytic solutions given by Saberi Nadjafi and dahia.

Keywords:

Multi-dimensional , Laplace transforms , Numerical inversion , Multi-precision