Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Lijuan Nong"'
Publikováno v:
Fractal and Fractional, Vol 8, Iss 8, p 453 (2024)
This paper presents an efficient finite difference method for solving the time-fractional Cattaneo equation with spatially variable coefficients in two spatial dimensions. The main idea is that the original equation is first transformed into a lower
Externí odkaz:
https://doaj.org/article/254930c459264ef69418d0f9ebcd267b
Publikováno v:
AIMS Mathematics, Vol 6, Iss 6, Pp 6242-6254 (2021)
In this paper, we consider the efficient numerical scheme for solving time-fractional mobile/immobile transport equation. By utilizing the compact difference operator to approximate the Laplacian, we develop an efficient Crank-Nicolson compact differ
Externí odkaz:
https://doaj.org/article/d1c49b8b905847c3a0be88c82e21a3b6
Publikováno v:
Fractal and Fractional, Vol 7, Iss 4, p 340 (2023)
In this paper, we are interested in the effective numerical schemes of the time-fractional Black–Scholes equation. We convert the original equation into an equivalent integral-differential equation and then discretize the time-integral term in the
Externí odkaz:
https://doaj.org/article/6ac4e46a5d2243f1956a06b73c906981
Autor:
An Chen, Lijuan Nong
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-21 (2020)
Abstract In this paper, we develop two efficient fully discrete schemes for solving the time-fractional Cattaneo equation, where the fractional derivative is in the Caputo sense with order in ( 1 , 2 ] $(1, 2]$ . The schemes are based on the Galerkin
Externí odkaz:
https://doaj.org/article/10ed285e2df14d29909ae81ee4bbf0c5
Publikováno v:
Fractal and Fractional, Vol 6, Iss 8, p 438 (2022)
The time-fractional Cattaneo equation is an equation where the fractional order α∈(1,2) has the capacity to model the anomalous dynamics of physical diffusion processes. In this paper, we consider an efficient scheme for solving such an equation i
Externí odkaz:
https://doaj.org/article/3d7340b7fb05486d9369997090ecbad3
Autor:
Lijuan Nong, An Chen
Publikováno v:
Journal of Function Spaces, Vol 2021 (2021)
The modified anomalous subdiffusion equation plays an important role in the modeling of the processes that become less anomalous as time evolves. In this paper, we consider the efficient difference scheme for solving such time-fractional equation in
Externí odkaz:
https://doaj.org/article/f4d8ffd6fcd5486688e8996ffb695a2b
Publikováno v:
AIMS Mathematics, Vol 6, Iss 6, Pp 6242-6254 (2021)
In this paper, we consider the efficient numerical scheme for solving time-fractional mobile/immobile transport equation. By utilizing the compact difference operator to approximate the Laplacian, we develop an efficient Crank-Nicolson compact differ
Autor:
Xiang Qin, Yunkang Ji, Lijuan Nong, Chendi Wang, Huiting Li, Chunyu Xie, Lijun Ji, Aiping Zhu
Publikováno v:
Colloids and Surfaces A: Physicochemical and Engineering Aspects. 666:131258
Autor:
Lijuan Nong, An Chen
Publikováno v:
Journal of Applied Mathematics and Computing. 68:199-215
In this work, the numerical approximation of the time-fractional mobile/immobile transport equation is considered. We investigate the solution regularity for two types of the initial data regularities. By applying the continuous piecewise linear fini