Quasilinearized semiorthogonal B-spline wavelets method for solving
multi-term nonlinear fractional order equations
AbstractIn 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.