Numerical Integration

Techniques of numerical integration have been developed because of the following reasons:

  1. Integration, in general, is a difficult operation.
  2. We may have experimental data, but we may not know the actual function generating those values.

In this article, we will discuss 3 commonly used numerical integration techniques, the trapezoidal rule, Simpson’s 1/3rd rule and Simpson’s 3/8th rule.


Trapezoidal Rule

  • Uses the single degree curve for integration

numerical_methods05-00.jpg


Simpson’s 1/3rd Rule

This rule is also known as Simpson’s rule.

  • Uses a second degree curve for integration.

numerical_methods06-00.jpg


Simpson’s 3/8th Rule

  • It uses a third degree curve for integration

numerical_methods07-00.jpg

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s