Iterative Linearization via Collocation Method for Solving Non-Linear Differential Equations

This paper introduces an effective numerical approach for addressing non-linear differential equations by iterative linearization utilizing the collocation technique. The suggested method integrates the benefits of iterative linearization with collocation to precisely approximate solutions. Numerical experiments indicate the method's efficiency and robustness in addressing numerous non-linear problems, exhibiting higher accuracy and convergence rates compared to existing methods