A hybrid method of successive linearization method (SLM) and collocation method to steady regime of the reaction-diffusion equation

Document Type : Regular paper


Department of Applied Mathematics, Imam Khomeini International University, Qazvin 34148-96818, Iran


This article presents a method based on combination of successive linearization method (SLM) and pseudo-spectral collocation method and then is applied on a nonlinear model of coupled diffusion and chemical reaction in a spherical catalyst pellet. It is obtained that this method can be used for nonlinear boundary value problems without difficulty because the nonlinear part of the equation becomes inactive by SLM and more, to treat the linear equation, even in the case of complicatedness, is straightforward by pseudo-spectral collocation method. Also, the results reveal the high efficiency with reliable accuracy of this hybrid method.


  • Receive Date: 02 July 2022
  • Revise Date: 28 July 2022
  • Accept Date: 29 July 2022
  • First Publish Date: 02 August 2022