Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations

DOI10.1016/j.cam.2022.115033zbMath1514.65182arXiv2203.11705OpenAlexW4312222106MaRDI QIDQ6157917

Vincent J. Ervin, Hong Wang, Xiangcheng Zheng

Publication date: 22 June 2023

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.11705

zbMATH Keywords

weighted Sobolev spacesJacobi polynomialsspectral methodvariable coefficientfractional diffusionPetrov-Galerkin

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Approximation by polynomials (41A10)

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