# 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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Main Authors: , , , Article English 2020-04-01 Advances in Difference Equations http://link.springer.com/article/10.1186/s13662-020-02616-x