Novel finite point approach for solving time-fractional convection-dominated diffusion equations

In this paper, a stabilized numerical method with high accuracy is proposed to solve time-fractional singularly perturbed convection-diffusion equation with variable coefficients. The tailored finite point method (TFPM) is adopted to discrete equation in the spatial direction, while the time directi...

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Bibliographic Details
Published in:	Advances in difference equations Vol. 2021; no. 1; pp. 1 - 22
Main Authors:	Liu, Xiaomin, Abbas, Muhammad, Yang, Honghong, Qin, Xinqiang, Nazir, Tahir
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 06.01.2021 Springer Nature B.V SpringerOpen
Subjects:	Analysis Applications Approximation Cauchy–Schwarz inequality Convection-diffusion equation Difference and Functional Equations Dimensional stability Exponential basis function Functional Analysis Mathematics Mathematics and Statistics Methods Numerical methods Ordinary Differential Equations Partial Differential Equations Stability analysis Tailored finite point method Time-fractional convection-dominated diffusion equation Topics in Special Functions and q-Special Functions: Theory Two dimensional analysis Time-fractional convection-dominated diffusion equation 65F50 Cauchy–Schwarz inequality 65F40 Tailored finite point method Exponential basis function 65M06 26A33 65N06 35R11 65H10 65M12
ISSN:	1687-1847, 1687-1839, 1687-1847
Online Access:	Get full text
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