A numerical investigation of Caputo time fractional Allen–Cahn equation using redefined cubic B-spline functions

A numerical investigation of Caputo time fractional Allen–Cahn equation using redefined cubic B-spline functions

Abstract We present a collocation approach based on redefined cubic B-spline (RCBS) functions and finite difference formulation to study the approximate solution of time fractional Allen–Cahn equation (ACE). We discretize the time fractional derivative of order α ∈ ( 0 , 1 ] $\alpha\in(0,1]$ by usin...

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Bibliographic Details
Main Authors: Nauman Khalid, Muhammad Abbas, Muhammad Kashif Iqbal, Dumitru Baleanu
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Advances in Difference Equations
Subjects:
Redefined cubic B-spline functions
Time fractional Allen–Cahn equation
Caputo’s time fractional derivative
Stability and convergence
Finite difference formulation
Online Access:http://link.springer.com/article/10.1186/s13662-020-02616-x

Internet

http://link.springer.com/article/10.1186/s13662-020-02616-x

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