Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Byron A. Jacobs"'
Publikováno v:
Mathematics, Vol 11, Iss 21, p 4526 (2023)
We present a systematic introduction to a class of functions that provide fundamental solutions for autonomous linear integer-order and fractional-order delay differential equations. These functions, referred to as delay functions, are defined throug
Externí odkaz:
https://doaj.org/article/59dee4d0a6c84986b9f0241fe30710d2
Autor:
Sinenhlanhla Mtshali, Byron A. Jacobs
Publikováno v:
Fractal and Fractional, Vol 7, Iss 1, p 84 (2023)
This study aims to validate the hypothesis that the pharmacokinetics of certain drug regimes are better captured using fractional order differential equations rather than ordinary differential equations. To support this research, two numerical method
Externí odkaz:
https://doaj.org/article/d39b2fcc90aa4140b2111f84ffbd25f6
Publikováno v:
Fractal and Fractional, Vol 6, Iss 8, p 436 (2022)
Motivated by the recent interest in generalized fractional order operators and their applications, we consider some classes of integro-differential initial value problems based on derivatives of the Riemann–Liouville and Caputo form, but with non-s
Externí odkaz:
https://doaj.org/article/6334ea6358c548b687287bf44ebc819e
Publikováno v:
Entropy, Vol 22, Iss 1, p 84 (2020)
This work investigates the convergence dynamics of a numerical scheme employed for the approximation and solution of the Frank−Kamenetskii partial differential equation. A framework for computing the critical Frank−Kamenetskii parameter to arbitr
Externí odkaz:
https://doaj.org/article/3c2eba1efb644d7fa97f8da2039e0008
Publikováno v:
Mathematics, Vol 10, Iss 15, p 2639 (2022)
In this study, we develop the enhanced unconditionally positive finite difference method (EUPFD), and use it to solve linear and nonlinear advection–diffusion–reaction (ADR) equations. This method incorporates the proper orthogonal decomposition
Externí odkaz:
https://doaj.org/article/46fb78ce6e2d455dac214b90e6bf7b85
Finite-difference based approaches are common for approximating the Caputo fractional derivative. Often, these methods lead to a reduction of the convergence rate that depends on the fractional order. In this note, we approximate the expressions in t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67e46527ffb835104cab347ba971be9d
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-191774
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-191774
Autor:
Sinenhlanhla Mtshali, Byron A. Jacobs
Publikováno v:
Antimicrob Agents Chemother
Physiologically based pharmacokinetic (PBPK) models have gained in popularity in the last decade in both drug development and regulatory science. PBPK models differ from classical pharmacokinetic models in that they include specific compartments for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27a45bb5014c3cee9e7727e2bd5f0337
https://europepmc.org/articles/PMC9487592/
https://europepmc.org/articles/PMC9487592/
Publikováno v:
Axioms, Vol 13, Iss 4, p 247 (2024)
This study introduces the higher-order unconditionally positive finite difference (HUPFD) methods to solve the linear, nonlinear, and system of advection–diffusion–reaction (ADR) equations. The stability and consistency of the developed methods a
Externí odkaz:
https://doaj.org/article/55d0b0f9055441838a9651644b8822e1
Publikováno v:
Mathematics, Vol 12, Iss 7, p 1009 (2024)
In this paper, the enhanced higher-order unconditionally positive finite difference method is developed to solve the linear, non-linear and system advection diffusion reaction equations. Investigation into the effectiveness and efficiency of the prop
Externí odkaz:
https://doaj.org/article/0e805f18cbea4ba2a23a29267f53eac8
Publikováno v:
Mathematics, Vol 8, Iss 11, p 2023 (2020)
There has been considerable recent interest in certain integral transform operators with non-singular kernels and their ability to be considered as fractional derivatives. Two such operators are the Caputo–Fabrizio operator and the Atangana–Balea
Externí odkaz:
https://doaj.org/article/c6ccf2d73790488a95a1c64200f6fed8