Four strategies for solving the non-linear equation
system which arises from the LHI discretization of the generic non-linear convection diffusion reaction equation (1) are tested.
Such restrictions yield a reduction in the convergence time of the numerical method compared to previous models  that do not provide a bounded search range or starting points for the solutions of the non-linear equation
Complex assembly analysis and advanced non-linear equation
solving, combined with large-tolerance joint handling capabilities, are some of the features of GGCM that DCS leveraged.
Since the equilibrium constants are a priori known, a system of non-linear equations
may be obtained.
However, having determined steady complex moduli, one can avoid the time integration of the significantly non-linear equations
of the model describing inelastic behaviour of the material.
The analytical solutions of the governing non-linear equations
are obtained using inverse methods.
Newton Raphson Method  is the most popular method for finding the roots of non-linear equations
Using the exact analysis in the final balance is complicated because it leads to non-linear equations
that have no usable analytical solutions.
The mathematical models of steady-state reactive distillation involve the solution of a system of non-linear equations
Using the point matching method a system of non-linear equations
is formed in a way to satisfy boundary conditions for the system.
Beginning with a primer on numEclipse, an open source mathematics programming language similar to the proprietary MATLAB, the volume provides information on solving non-linear equations
, designing solving systems for linear equations, computational eigenvalue problems, finite difference schemes, and interpolation and approximation.
Finding the roots of a single variable non-linear equations
efficiently, is a very interesting and old problem in numerical analysis and has many applications in engineering and other applied sciences.