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Numerical simulation of time fractional Cable equations and convergence analysis
Author(s) -
Yang Yin,
Huang Yunqing,
Zhou Yong
Publication year - 2018
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22225
Subject(s) - mathematics , lagrange polynomial , convergence (economics) , fractional calculus , mathematical analysis , interpolation (computer graphics) , numerical analysis , kernel (algebra) , integral equation , polynomial , computer science , economics , economic growth , animation , computer graphics (images) , combinatorics
In this article, the numerical solution of time fractional Cable equation is considered. We convert the time fractional Cable equations into equivalent integral equations with singular kernel, then propose a spectral collection method in both time and space discretizations with a spectral expansion of Lagrange interpolation polynomial for this equation. The convergence of the method is rigorously established. Numerical tests are carried out to confirm the theoretical results.