Choice of an initial guess for Newton?s method to solve nonlinear differential equations

초록

A proper initial guess is critical for implementing Newton's iteration to approximate an exact solution of a nonlinear differential equation like the Navier-Stokes equations or magnetohydrodynamic equations. In this article, we will provide a theoretical criteria for the way of choosing an initial guess required for Newton's iteration for approximating an exact solution of a nonlinear differential equation.

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