Week 6 - Multivariate Newton Rhapson Solver

In order to estimate the combustion process inside a combustion chamber it is fundamental to evaluate the molar fractions of the gases which constitute the burned mixture. A non linear set of equations must be solved to evaluate the mixture composition. This challenge deals with the study of solving the coupled ordinary differential equations involving about the thermodynamics of combustion, using a new approach to solve the set of non-linear equations system we obtain at each time step by Newton-Raphson method.