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This is an example of an iterative method for solving an equation. It is called the bisection method because at each stage the region within which the solution lies is halved.
  • the bisection method works by continually halving the region within which the solutions lies
  • at any stage the required root is known to the accuracy given by the width of the region
This applet demonstrates the method
To run the demo:
  1. Choose a function.
  2. Press the Step button to single-step the algorithm.
  3. Press the Run button to animate the algorithm.

A Java applet should appear here

Software/Applets used on this page

Mak
This applet forms part of "Java Number Cruncher: The Java Programmer's Guide to Numerical Computation", Prentice-Hall, by Ronald Mak, and is provided for MathsNetAlevel-plus by that author - see
Apropos-logic

Glossary

algorithm

A set of precise instructions which, if followed, will solve a problem.

equation

A statement that two mathematical expressions are equal.

function

A rule that connects one value in one set with one and only one value in another set.

solution

the answer to a problem.

Full Glossary List

This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AQA A-Level (UK - Pre-2017)FP1Numerical MethodsInterval bisection-
AQA A2 Further Maths 2017Pure MathsNumerical MethodsInterval Bisection - Extra-
AQA AS/A2 Further Maths 2017Pure MathsNumerical MethodsInterval Bisection - Extra-
CCEA A-Level (NI)C3Numerical MethodsInterval bisection-
Edexcel A-Level (UK - Pre-2017)FP1Numerical MethodsInterval bisection-
Edexcel AS Further Maths 2017Further Pure 1Numerical MethodsInterval Bisection-
Edexcel AS/A2 Further Maths 2017Further Pure 1Numerical MethodsInterval Bisection-
OCR A-Level (UK - Pre-2017)FP2Numerical MethodsInterval bisection-
OCR AS Further Maths 2017Pure CoreNumerical Methods - ExtraInterval Bisection-
OCR MEI AS Further Maths 2017Numerical MethodsSolution of EquationsInterval Bisection-
OCR-MEI A-Level (UK - Pre-2017)NMNumerical MethodsInterval bisection-
Scottish (Highers + Advanced)HM2Numerical MethodsInterval bisection-
Scottish HighersM2Numerical MethodsInterval bisection-
Universal (all site questions)NNumerical MethodsInterval bisection-
WJEC A-Level (Wales)FP3Numerical MethodsInterval bisection-