Engee documentation

Solving Nonlinear Equations

Description

The course Solving Nonlinear Equations is designed to familiarize students with the basic methods of solving nonlinear equations: graphical solution, numerical solution of nonlinear equations, solving nonlinear equations using built-in Engee functions, solving systems of nonlinear equations. Each section of the course contains brief theoretical information, practical examples and self-study tasks.

Knowledge requirements: completion of the course Welcome to Engee.

Total course time: ~1.5 hours.

Course program

Graphical solution of nonlinear equations

The concept of a nonlinear equation, examples of nonlinear equations arising in solving practical problems, general information on approximate methods for solving nonlinear equations, a graphical method for solving nonlinear equations in Engee are studied.

Numerical solution of nonlinear equations

The bisection method, Newton’s method, the simple iteration method and their implementation in Engee are studied.

Solving nonlinear equations using Engee built-in functions

The built-in functions find_zero and find_zeros and their application to solve nonlinear equations in Engee are studied.

Solving systems of nonlinear equations

The concepts of the system of nonlinear equations, the simple iteration method and the usage of the built-in function nlsolve for solving systems of nonlinear equations in Engee are studied.