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Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains
2019-03-13 15:57:45

Many PDEs involving fractional Laplacian are naturally set in unbounded domains with underlying solutions decay very slowly, subject to certain power laws. Their numerical solutions are under-explored. In this talk we will develop spectral Galerkin/collocation methods using rational basis (or modified mapped Gegenbauer functions) for such models in unbounded domains.