Numerical methods for forward fractional Feynman–Kac equation

Fractional Feynman–Kac equation governs the functional distribution of the trajectories of anomalous diffusion. The non-commutativity of the integral fractional Laplacian and time-space coupled fractional substantial derivative, i.e., A s 0 ∂ t 1 - α , x ≠ 0 ∂ t 1 - α , x A s , brings about huge cha...

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Bibliographic Details
Published in:	Advances in computational mathematics Vol. 50; no. 3; p. 58
Main Authors:	Nie, Daxin, Sun, Jing, Deng, Weihua
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2024 Springer Nature B.V
Subjects:	Applied mathematics Commutativity Computational mathematics Computational Mathematics and Numerical Analysis Computational Science and Engineering Derivatives Diffusion Error analysis Estimates Finite element analysis Finite element method Integrals Laplace transforms Mathematical and Computational Biology Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Methods Numerical analysis Numerical methods Quadratures Regularity Sobolev space Visualization Convolution quadrature Finite element method Error estimate 35R11 65M60 Integral fractional Laplacian Fractional substantial derivative 65M12 Forward fractional Feynman–Kac equation
ISSN:	1019-7168, 1572-9044
Online Access:	Get full text
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