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THE h-p VERSION OF THE CONTINUOUS PETROV-GALERKIN METHOD FOR NONLINEAR VOLTERRA FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH VANISHING DELAYS
| Content Provider | Semantic Scholar |
|---|---|
| Author | Li-Jun, Yi Guo, Benqi |
| Copyright Year | 2017 |
| Abstract | 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.ualberta.ca/ijnam/Volume-15-2018/No-1-18/2018-01-02.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |