Spectral Technique for Solving Variable-Order Fractional Volterra Integro-Differential Equations
Loading...
Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
This article, presented a shifted Legendre Gauss-Lobatto collocation (SL-GL-C) method which is introduced for solving variable-order fractional Volterra integro-differential equation (VO-FVIDEs) subject to initial or nonlocal conditions. Based on shifted Legendre Gauss-Lobatto (SL-GL) quadrature, we treat with integral term in the aforementioned problems. Via the current approach, we convert such problem into a system of algebraic equations. After that we obtain the spectral solution directly for the proposed problem. The high accuracy of the method was proved by several illustrative examples.
Description
Keywords
Fractional Calculus, Riemann-Liouvilie Fractional of Variable Order, Integro-Differential Equation, pectral Collocation Method, Shifted Legendre-Gauss-Lobatto Quadrature, Integro-ordinary differential equations, integro-differential equation, Volterra integral equations, shifted Legendre-Gauss-Lobatto quadrature, fractional calculus, Fractional partial differential equations, Numerical quadrature and cubature formulas, Riemann-Liouville fractional of variable order, spectral collocation method, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Doha, E. H. (2018). "Spectral technique for solving variable-order fractional Volterra integro-differential equations" Vol.34, No.5, pp. 1659-1677.
WoS Q
Q2
Scopus Q
Q1
OpenCitations Citation Count
58
Source
Numerical Methods for Partial Differential Equations
Volume
34
Issue
5
Start Page
1659
End Page
1677
Collections
PlumX Metrics
Citations
CrossRef : 48
Scopus : 66
Captures
Mendeley Readers : 5
