Recently, many mathematical models are proposed to describe storage of solar energy. Most of these models are governed by boundary value problems (BVPs). The explicit solutions of such BVPs depend in determining the inverse Laplace transform of complex expressions. This paper overcomes some of these difficulties arising on account of this. The results can be invested to construct the analytic solutions of solar energy models and also models of other fields in engineering sciences.

Laplace transform, error function, boundary value problem.