We will discuss the following methods:

## Taylor’s Series Method

## Euler’s Method and Modified Euler’s Method

## Runge Kutta 2nd Order Method

## Runge Kutta 4th Order Method

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# Tag: mechanical engineering

## Numerical Solutions to Ordinary Differential Equations

## Taylor’s Series Method

## Euler’s Method and Modified Euler’s Method

## Runge Kutta 2nd Order Method

## Runge Kutta 4th Order Method

## Numerical Integration

## Trapezoidal Rule

## Simpson’s 1/3rd Rule

## Simpson’s 3/8th Rule

We will discuss the following methods:

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

- Integration, in general, is a difficult operation.
- 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.

- Uses the single degree curve for integration

This rule is also known as Simpson’s rule.

- Uses a second degree curve for integration.

- It uses a third degree curve for integration