Haar wavelet–quasilinearization technique for fractional nonlinear differential equations

摘要

In this article, numerical solutions of nonlinear ordinary differential equations of fractional order by the Haar wavelet and quasilinearization are discussed. Quasilinearization technique is used to linearize the nonlinear fractional ordinary differential equation and then the Haar wavelet method is applied to linearized fractional ordinary differential equations. In each iteration of quasilinearization technique, solution is updated by the Haar wavelet method. The results are compared with the results obtained by the other technique and with exact solution. Several initial and boundary value problems are solved to show the applicability of the Haar wavelet method with quasilinearization technique.