Reproducing kernel method for solving singularly perturbed turning point problem with two boundary layers

In this paper, we consider SPTPP (Singularly Perturbed Turning Point Problem) with two boundary layers behavior in its domain. We solve the problem by using the RKHSM (Reproducing Kernel Hilbert Space Method) without Gram-Schmidt orthogonalization process. In the present method, we decompose the problem domain into three subintervals, one of them has not boundary layer and in the rest, each have one. To implement the RKHSM at intervals of the boundary layer, we need to use a proper variable change in the problem