2023
DOI: 10.1007/s40314-023-02475-8
|View full text |Cite
|
Sign up to set email alerts
|

High-order spectral collocation method using tempered fractional Sturm–Liouville eigenproblems

Sayed A. Dahy,
H. M. El-Hawary,
Alaa Fahim
et al.

Abstract: This paper presents an accurate exponential tempered fractional spectral collocation method (TFSCM) to solve one-dimensional and time-dependent tempered fractional partial differential equations (TFPDEs). We use a family of tempered fractional Sturm–Liouville eigenproblems (TFSLP) as a basis and the fractional Lagrange interpolants (FLIs) that generally satisfy the Kronecker delta (KD) function at the employed collocation points. Firstly, we drive the corresponding tempered fractional differentiation matrices … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2024
2024
2024
2024

Publication Types

Select...
2

Relationship

0
2

Authors

Journals

citations
Cited by 2 publications
(1 citation statement)
references
References 47 publications
0
1
0
Order By: Relevance
“…Wu et al [20] applied fractional differentiation matrices in solving Caputo fractional differential equations. Moreover, the spectral collocation method has been applied to solve tempered fractional differential equations [21][22][23], variable-order Fokker-Planck equations [24] and Caputo-Hadamard fractional differential equations [25].…”
Section: Introductionmentioning
confidence: 99%
“…Wu et al [20] applied fractional differentiation matrices in solving Caputo fractional differential equations. Moreover, the spectral collocation method has been applied to solve tempered fractional differential equations [21][22][23], variable-order Fokker-Planck equations [24] and Caputo-Hadamard fractional differential equations [25].…”
Section: Introductionmentioning
confidence: 99%