An efficient numerical approach to solve a class of variable‐order fractional integro‐partial differential equations
Copyright policy )An efficient numerical approach to solve a class of variable‐order fractional integro‐partial differential equations
AbstractThe main purpose of this work is to investigate an initial boundary value problem related to a suitable class of variable order fractional integro‐partial differential equations with a weakly singular kernel. To discretize the problem in the time direction, a finite difference method will be used. Then, the Sinc‐collocation approach combined with the double exponential transformation is employed to solve the problem in each time level. The proposed numerical algorithm is completely described and the convergence analysis of the numerical solution is presented. Finally, some illustrative examples are given to demonstrate the pertinent features of the proposed algorithm.
- Tuscia University Italy
- University of Mazandaran Iran (Islamic Republic of)
Integro-partial differential equations, sinc-collocation method, Finite difference methods for initial value and initial-boundary value problems involving PDEs, integro-partial differential equation, variable-order fractional derivative, Fractional partial differential equations, finite difference scheme, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Statistics on metric spaces, convergence analysis
Integro-partial differential equations, sinc-collocation method, Finite difference methods for initial value and initial-boundary value problems involving PDEs, integro-partial differential equation, variable-order fractional derivative, Fractional partial differential equations, finite difference scheme, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Statistics on metric spaces, convergence analysis
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).7 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!