Fuzzy solution to the second order unsteady partial differential equation

In this article, we examine the solution to the second order unsteady partial differential equation (Boussinesq equation), in case of an aquifer recharging from a lake. To this end, the generalized Hukuhara (gH) derivative was used for total derivatives, as well as the extension of this theory concerning partial derivatives. The case studies proved to follow the generalized Hukuhara (gH) derivative conditions and offer a unique solution. The development of the aquifer water profile was examined, as well as the calculation of the recharging fuzzy water movement profiles, and the results were depicted in diagrams.