Theoretical treatment and implementation of the SCM included Appell-Changhee polynomials for the fractional delayed carbon absorption-emission model
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10254499" target="_blank" >RIV/61989100:27740/24:10254499 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S2211379724001414" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2211379724001414</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.rinp.2024.107459" target="_blank" >10.1016/j.rinp.2024.107459</a>
Alternative languages
Result language
angličtina
Original language name
Theoretical treatment and implementation of the SCM included Appell-Changhee polynomials for the fractional delayed carbon absorption-emission model
Original language description
Some researchers have started to perform in-depth studies on carbon dioxide emissions phenomena because global warming has caused immense damage. In this work, as a generalization of these studies, we will investigate and describe the fractional delayed Carbon absorption-emission model which consists of two fractional (Caputo sense) differential equations. From this point, we study the behavior of the solution for this model by using an approximate technique based on Appell-type Changhee polynomials (ACPs). We present an approximation of the fractional-order derivative by using ACPs. We implement the spectral collocation method (SCM) and use the properties of the ACPs to convert the provided model into a set of algebraic equations. A special focus is placed on the examination of the existence and stability of the equilibrium point for the model according to the characteristic roots with the help of the Hopf bifurcation technique. We verify the effectiveness and efficiency of the presented numerical scheme by comparing its results to those of the fourth-order Runge-Kutta method (RKM4). The results confirm that the current method is a straightforward and efficient tool for simulating the solutions to such models. (C) 2024 The Author(s)
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
—
Continuities
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Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Results in Physics
ISSN
2211-3797
e-ISSN
2211-3797
Volume of the periodical
58
Issue of the periodical within the volume
March
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
7
Pages from-to
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UT code for WoS article
001199176000001
EID of the result in the Scopus database
2-s2.0-85186713458