Abstract
In this paper, we discuss a new single sweep alternating group explicit iteration method, along with a third order numerical method based on off-step discretization on a variable mesh to solve nonlinear viscous Burgers’ equation subject to given natural boundary conditions. The proposed method is also applicable to both singular and non-singular problems, which is main attraction of our work. The convergence of the proposed method is discussed in detail. We compared the results of proposed iteration method with the results of corresponding double sweep alternating group explicit iteration method to demonstrate computationally the efficiency of the proposed method.
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