The solution of the convection-diffusion problem has been a subject of great interest for many years, as most industrial processes, particularly those involving chemical reactions or heat and mass transfer, involve the convection-diffusion phenomenon. Thus, the development of a robust numerical technique for accurately solving such a problem is of great importance. Various numerical techniques have been developed and used to solve this problem. However, the success of a particular technique depends on the property of the equation to be solved. For problems with sharp boundary layers and nonlinearity, classical discretization methods may lead to unbounded spatial oscillations and fail to yield any useful solutions. To overcome this problem, several upwind finitie difference and upwind finite element formulations [4, 6] have been proposed. However, it has been found that the upwind schemes may also result in inaccurate solutions [2].
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