Numerical solution of partial differential equations with variable coefficients with an operational approach to the tau method
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Abstract We discuss the numerical solution of linear partial differential equations with variable coefficients by means of an operational approach to Ortiz' recursive formulation of the Tau method. We discuss a procedure which makes it possible to determine the coefficients of a bivariate Tau approximant by means of a reduced set of matrix operations. It involves no discretization of the variables, approximate quadratures or the use of special trial functions. Error surfaces exhibit a remarkable equioscillatory behaviour.
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