Interactive Bisection Method

Since f(1) and f(2) have opposite signs, a root is bracketed. Interactive Bisection Method lets you explore this hands-on instead of only reading about it.

This section introduces iterative algorithms for solving nonlinear equations of the form f(x)=0, a common problem known as root-finding. It details and compares several fundamental methods, including the Bisection Metho… It focuses on Root-Finding, Bisection Method, Fixed-Point Iteration, Newton's Method, Secant Method, Order of Convergence (Linear vs. Quadratic) from the “Root Finding for Nonlinear Equations” section.

The “Reset”, “Next Step” buttons run actions or reset the demo. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.

CS323 provides a comprehensive introduction to numerical algorithms, focusing on practical implementation and real-world applications. The course begins with the fundamentals of computational error and floating-point ar… This demo is the interactive piece for the “Root Finding for Nonlinear Equations” section. Open the full CS323: Numerical Analysis and Computing course wiki at https://www.getlykke.com/explore/public/cs323-numerical-analysis-and-computing-7146330a-2792-4961-9bd5-0e42fb092c87 for notes, flashcards, quizzes and the other demos.

You'll build intuition for Root-Finding, Bisection Method, Fixed-Point Iteration, Newton's Method, Secant Method, Order of Convergence (Linear vs. Quadratic) — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on CS323: Numerical Analysis and Computing alone.