ABSTRACT
Nonlinear simultaneous equations are nonlinear expressions in unknown quantities of interest. These may arise in some physical processes directly due to consideration of the mathematical descriptions of their physics. On the other hand, in many physical processes described by nonlinear differential or partial differential equations, the use of approximation methods such as finite difference, finite volume, and finite element methods for obtaining their approximate numerical solutions naturally results in nonlinear simultaneous equations. Solutions of these nonlinear simultaneous equations provides the solutions of the associated nonlinear differential and partial differential equations.
