A modified numerical algorithm based on fractional Euler functions for solving time-fractional partial differential equations

A novel and efficient method based on the fractional Euler function together with the collocation method is proposed to solve time-fractional partial differential equations. By applying the Riemann-Liouville fractional integral operator on this problem, we convert it to fractional partial integro-di...

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Vydané v:International journal of computer mathematics Ročník 98; číslo 10; s. 2078 - 2096
Hlavní autori: Dehestani, Haniye, Ordokhani, Yadollah
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Abingdon Taylor & Francis 03.10.2021
Taylor & Francis Ltd
Predmet:
Algorithms
collocation method
Collocation methods
Error analysis
Fractional calculus
fractional Euler functions
Mathematical analysis
Numerical analysis
Numerical methods
operational matrix of integration
Operators (mathematics)
Partial differential equations
Riemann-Liouville fractional integral
Time-fractional partial differential equations
ISSN:0020-7160, 1029-0265
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Shrnutí:A novel and efficient method based on the fractional Euler function together with the collocation method is proposed to solve time-fractional partial differential equations. By applying the Riemann-Liouville fractional integral operator on this problem, we convert it to fractional partial integro-differential equations. Also, we present the method of calculating the operational matrix in a new way. These matrices with the help of the collocation method reduce the problem to a system of algebraic equations that can be easily solved by any usual numerical methods. Furthermore, we discuss error analysis for this method. Finally, the numerical technique is implemented for several examples to illustrate the superiority and efficiency of the proposed method in comparison with some other methods.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160.2021.1875131