Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Yongling Cheng"'
Autor:
Jin Li, Yongling Cheng
Publikováno v:
Electronic Research Archive, Vol 31, Iss 7, Pp 4034-4056 (2023)
The time-dependent fractional convection-diffusion (TFCD) equation is solved by the barycentric rational interpolation method (BRIM). Since the fractional derivative is the nonlocal operator, we develop a spectral method to solve the TFCD equation to
Externí odkaz:
https://doaj.org/article/6a8b05c19a1f49ae93faa098ef8cabc9
Autor:
Jin Li, Yongling Cheng
Publikováno v:
Electronic Research Archive, Vol 31, Iss 6, Pp 3649-3665 (2023)
A fractional cable (FC) equation is solved by the barycentric rational interpolation method (BRIM). As the fractional derivative is a nonlocal operator, we develop a spectral method to solve the FC equation to get the coefficient matrix as the full m
Externí odkaz:
https://doaj.org/article/93260f921da84bbead8fe79f5aab8f0b
Autor:
Jin Li, Yongling Cheng
Publikováno v:
Electronic Research Archive, Vol 31, Iss 5, Pp 3014-3029 (2023)
In this paper, we seek to solve the Kolmogorov-Petrovskii-Piskunov (KPP) equation by the linear barycentric rational interpolation method (LBRIM). As there are non-linear parts in the KPP equation, three kinds of linearization schemes, direct lineari
Externí odkaz:
https://doaj.org/article/3a24c37441f34ec7adefc79540da14f3
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 3, Pp 4782-4797 (2023)
We consider the Poisson equation by collocation method with linear barycentric rational function. The discrete form of the Poisson equation was changed to matrix form. For the basis of barycentric rational function, we present the convergence rate of
Externí odkaz:
https://doaj.org/article/397ee5d592b8440a915993e5b3ecca57
Autor:
Peichen Zhao, Yongling Cheng
Publikováno v:
Journal of Mathematics, Vol 2021 (2021)
A linear barycentric rational collocation method (LBRCM) for solving Schrodinger equation (SDE) is proposed. According to the barycentric interpolation method (BIM) of rational polynomial and Chebyshev polynomial, the matrix form of the collocation m
Externí odkaz:
https://doaj.org/article/7fd7797f0cde4c899c424d7e92023378
Autor:
Qingli Zhao, Yongling Cheng
Publikováno v:
Journal of Mathematics, Vol 2021 (2021)
Barycentric rational collocation method is introduced to solve the Forchheimer law modeling incompressible fluids in porous media. The unknown velocity and pressure are approximated by the barycentric rational function. The main advantages of this me
Externí odkaz:
https://doaj.org/article/215953cdea54459298046a2bc87cbb59
Publikováno v:
Numerical Mathematics: Theory, Methods & Applications. Aug2020, Vol. 13 Issue 3, p770-787. 18p.
Autor:
Yongling Cheng, Qingli Zhao
Publikováno v:
Journal of Mathematics, Vol 2021 (2021)
Barycentric rational collocation method is introduced to solve the Forchheimer law modeling incompressible fluids in porous media. The unknown velocity and pressure are approximated by the barycentric rational function. The main advantages of this me
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3aebd69e3554b2f298449b805aa63c2f
https://doi.org/10.1155/2021/5514916
https://doi.org/10.1155/2021/5514916
Autor:
Jin Li, Yongling Cheng
Publikováno v:
Computational and Applied Mathematics. 41
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f3501c76c8774c5684f6983dff88e3a
https://doi.org/10.1007/s40314-022-01951-x
https://doi.org/10.1007/s40314-022-01951-x
Autor:
Jin Li, Yongling Cheng
Publikováno v:
Numerical Methods for Partial Differential Equations. 37:1993-2007
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2141585b2e8c18a7e0b1dd0e7ae32b78
https://doi.org/10.1002/num.22638
https://doi.org/10.1002/num.22638