loading page

Quasilinearized semiorthogonal B-spline wavelets method for solving multi-term nonlinear fractional order equations
  • Can Liu,
  • Xinming Zhang,
  • Boying Wu
Can Liu
Harbin Institute of Technology Shenzhen
Author Profile
Xinming Zhang
Harbin Institute of Technology (Shenzhen)
Author Profile
Boying Wu
Harbin Institute of Technology
Author Profile

Abstract

In the present article, we implement a new numerical scheme, the quasilinearization semiorthogonal B-spline wavelets method, combining the semiorthogonal B-spline wavelets collocation method with the quasilinearization method, for a class of the multi-term nonlinear fractional order equations. The fractional order equations contain Riemann-Liouville fractional integral operator and Caputo fractional differential operator. The quasilinearization method is firstly utilized to convert the multi-term nonlinear fractional order equation into a multi-term linear fractional order equation, which is solved by means of semiorthogonal B-spline wavelets subsequently. Herein, we investigate the operational matrix and the convergence of the proposed scheme. Several numerical results are given to confirm the accuracy and efficiency of our scheme.