A new algorithm for nonlinear fractional BVPs

In this letter, an efficient numerical scheme is discussed to solve the nonlinear differential equation of fractional order with boundary conditions. The technique relies on the Quasi-Newton’s method (QNM) and the simplified reproducing kernel method (SRKM). Two numerical examples are considered to confirm the performance of the proposed method and comparisons with the existing solution techniques are reported as well. Numerical results faithfully reveal the accuracy, efficiency and simplicity of the method.