Problem 43129. Find the coefficients for numerical integration using Simpson's rule

Created by Asad (Mehrzad) Khoddam

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For using numerical integration using Simpson's rule, we need some coefficients to be determined first. Suppose the n is the number of divisions between a and b the limits of integration. First of all n should be even so for odd numbers the program return empty vector []. For n=2 the coefficients are [1 4 1] and for n=4, coefficients are [1 4 2 4 1]. The first and the last elements are 1 and the remaining elements are 4 and 2. Also zero or negative n has meaning.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

44 Solutions
26 Solvers

Last Solution submitted on Oct 25, 2022

Last 200 Solutions

Problem Recent Solvers26

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 43129. Find the coefficients for numerical integration using Simpson's rule

Solution Stats

Last 200 Solutions

Problem Recent Solvers26

Suggested Problems

More from this Author2

Problem Tags

Community Treasure Hunt

Problem 43129. Find the coefficients for numerical integration using Simpson's rule

Solution Stats

Last 200 Solutions

Problem Recent Solvers26

Suggested Problems

More from this Author2

Problem Tags

Community Treasure Hunt

Players