An Efficient Numerical Scheme for Solving a System of Nonlinear Equations

In this article, our aim is to develop an efficient numerical scheme for approximating solution of a system of nonlinear equations, using modified decomposition technique. Rate of convergence is proved under some suitable conditions and upper bounds of error is derived for the new technique. Some real life problems involving circuit equation, chemical equilibrium system and combustion problem, are solved with the new scheme and the numerical results are compared with some existing methods.