THE h-p VERSION OF THE CONTINUOUS PETROV-GALERKIN METHOD FOR NONLINEAR VOLTERRA FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH VANISHING DELAYS
نویسندگان
چکیده
We investigate an h-p version of the continuous Petrov-Galerkin method for the nonlinear Volterra functional integro-differential equations with vanishing delays. We derive h-p version a priori error estimates in the L-, Hand L-norms, which are completely explicit in the local discretization and regularity parameters. Numerical computations supporting the theoretical results are also presented.
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