A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative
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Publication:4600829
DOI10.1137/16M1103622zbMath1422.65428OpenAlexW2781754946WikidataQ115525625 ScholiaQ115525625MaRDI QIDQ4600829
Zhiping Mao, George Em. Karniadakis
Publication date: 17 January 2018
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m1103622
error estimatePetrov-Galerkin methodspectral convergencetwo-sided Jacobi polyfractonomialtwo-sided fractional differential equation
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Interpolation in approximation theory (41A05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)
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