[01846] L3 approximation of the Caputo derivatives and its application to time-fractional wave equation
Session Time & Room : 3E (Aug.23, 17:40-19:20) @E711
Type : Contributed Talk
Abstract : In this talk, we will discuss a new second-order L3 approximation of the Caputo fractional derivative of order 1< α < 2. We have applied Lagrange’s cubic interpolating polynomial to develop this approximation. A second-order difference scheme is also proposed to find the numerical solution of the time-fractional wave equation. The numerical analysis results of the proposed algorithm are provided and a comparative study is also given to show the effectiveness and accuracy of the proposed scheme.