Abstract
Abstract Discrete ordinate methods for the solution of partial differential equations are examined and compared. A novel approach for the discrete representation of differential operators based on split range polynomial expansions is introduced. The utility of the method is demonstrated for the case of differentiation of functions involving steep gradients. The solution of Burgers' equation is presented to illustrate the effectiveness of the technique for the solution of nonlinear partial differential equations exhibiting nearly discontinuous solutions. Comparisons are made with other differential quadrature methods.
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