Open AccessA SPECTRAL APPROACH FOR TIME-FRACTIONAL DIFFUSION AND SUBDIFFUSION EQUATIONS IN A LARGE INTERVAL
Author(s) -
Haniye Dehestani,
Yadollah Ordokhani,
Mohsen Razzaghi
Publication year - 2022
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/mma.2022.13579
Subject(s) - interval (graph theory) , mathematics , algebraic equation , diffusion , construct (python library) , class (philosophy) , algebraic number , diffusion process , process (computing) , laguerre polynomials , mathematical analysis , computer science , physics , knowledge management , innovation diffusion , nonlinear system , combinatorics , quantum mechanics , artificial intelligence , thermodynamics , programming language , operating system
In this paper, we concentrate on a class of time-fractional diffusion and subdiffusion equations. To solve the mentioned problems, we construct twodimensional Genocchi-fractional Laguerre functions (G-FLFs). Then, the pseudooperational matrices are used to convert the proposed equations to systems of algebraic equations. The properties of pseudo-operational matrices have reflected well in the process of the numerical technique and create an approximate solution with high precision. Finally, several examples are presented to illustrate the accuracy and effectiveness of the technique.