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In this article, a parameter-uniform numerical method is presented to solveone-dimensional singularly perturbed parabolic convection-diffusion turningpoint problem exhibiting two exponential boundary layers. We study theasymptotic behaviour of the solution and its partial derivatives. The problemis discretized using the implicit Euler method for time discretization on auniform mesh and a hybrid scheme for spatial discretization on a generalizedShishkin mesh. The scheme is shown to be $\varepsilon$-uniformly convergent oforder one in time direction and order two in spatial direction upto alogarithmic factor. Numerical experiments are conducted to validate thetheoretical results. Comparison is done with upwind scheme on uniform mesh aswell as on standard Shishkin mesh to demonstrate the higher order accuracy ofthe proposed scheme on a generalized Shishkin mesh. \end{abstract}  \begin{keyword} Singular perturbation, parabolic convection-diffusionequations, turning point, hybrid scheme, twin boundary layers, Shishkin mesh

A higher order numerical scheme for singularly perturbed parabolic turning point problems exhibiting twin boundary layers