Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Ruilian Du"'
Autor:
Ruilian Du, Zongqi Liang
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2017 (2017)
We introduced a parameter σ(t) which was related to α(t); then two numerical schemes for variable-order Caputo fractional derivatives were derived; the second-order numerical approximation to variable-order fractional derivatives α(t)∈(0,1) and
Externí odkaz:
https://doaj.org/article/2a362fec55d145a6b607e24d46a7eb0e
Publikováno v:
Computational & Applied Mathematics; Dec2024, Vol. 43 Issue 8, p1-35, 35p
Autor:
Ruilian Du, Zhi-zhong Sun
Publikováno v:
Numerical Algorithms. 88:191-226
This article deals with an establishment and sharp theoretical analysis of a numerical scheme devised for solving the multi-dimensional multi-term time fractional mixed diffusion and wave equations. The governing equation contains both fractional dif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36cc26e3571c7ea14eeb42fbd9f8b360
https://doi.org/10.1007/s11075-020-01037-x
https://doi.org/10.1007/s11075-020-01037-x
Publikováno v:
Computers & Mathematics with Applications. 79:2952-2972
A special point on each time interval is found for the approximation of the variable-order time Caputo derivative, which makes at least second order approximation accuracy be obtained. On this basis, two difference schemes are proposed for the multi-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73cf0100121eff12b0c958edddcef5b4
https://doi.org/10.1016/j.camwa.2020.01.003
https://doi.org/10.1016/j.camwa.2020.01.003
Publikováno v:
Journal of Computational Physics. 376:1312-1330
A new high-order finite difference scheme to approximate the Caputo fractional derivative 1 2 ( D t α 0 C f ( t k ) + D t α 0 C f ( t k − 1 ) ) , k = 1 , 2 , … , N , with the convergence order O ( Δ t 4 − α ) , α ∈ ( 1 , 2 ) is obtained
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f4b3e918b46a250d151f24c86a0ce097
https://doi.org/10.1016/j.jcp.2018.10.011
https://doi.org/10.1016/j.jcp.2018.10.011
Publikováno v:
Applied Mathematics Letters. 102:106115
A time fractional mixed sub-diffusion and diffusion-wave equation involving at least two Caputo time derivatives of order γ ∈ ( 1 , 2 ) and α ∈ ( 0 , 1 ) is considered. A new analytical technique is introduced to analyze the standard finite dif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::383a18f4c30ecd8b4dd5a582dd66cc70
https://doi.org/10.1016/j.aml.2019.106115
https://doi.org/10.1016/j.aml.2019.106115