Matlab Codes

In this course, you will be required to solve systems of nonlinear algebraic equations and systems of nonlinear ordinary differential equations. Numerical solution techniques for these types of problems are now commonly available. Provided below are routines to solve these types of problems written in Matlab. The algorithm for the solution of a system of nonlinear algebraic equations is the multivariate Newton-Raphson Method using a centered-finite difference approximation to the derivative. The algorithm for the solution to a system of nonlinear ordinary differential equations is the multivariate classical fourth-order Runge-Kutta method. See the Lecture Notes for links to modules that give the theory behind these routines.

• Newton Raphson with Numerical Derivatives for 1 Nonlinear Algebraic Equation (code and input function)
• Newton Raphson with Numerical Derivatives for N Nonlinear Algebraic Equations (code)
• Newton Raphson with Numerical Derivatives for N Nonlinear Algebraic Equations (input function)
• Numerical Solution of a system of Nonlinear Ordinary Differential Equations
• Improved sysode.m with legend and normalization