Euler’s Method C Program

2 Ways For Euler’s Method in C Programming

Let us understand what is Euler’s method in numerical analysis and let us see how can we implement Euler’s method in C programming using different methods.

What is Euler’s method

The Euler’s method is a first-order numerical method and is used to solve differential equations. It is also popularly known as Forward Euler’s method.


This is a very basic method for numerical integration of ordinary differential equations.

The Euler’s numerical analysis method is very simple to implement but it does not provide accurate results under some circumstances.

Therefore, mathematicians developed a modified version of Euler’s method which is known as Euler’s modified method.

Must Read: Regula Falsi Method C Program

Euler’s Formula

The solution for Euler’s numerical method is generated by iterating on the two formulas:

xn + 1 = xn + h

yn + 1 = yn + h*f(xn, yn)

      where h = length of subdivisions


Advantages

  • It can be used for simple non-linear initial value problems.
  • The Euler’s numerical method is direct in nature and simple to implement.

Disadvantages

  • The Euler’s method is not so accurate and unstable.
  • The approximation error is also not stable.
  • If the value for h is large, then it does not give proper results.

Must Read: Trapezoidal Rule C Program

Note: This code for secant method in C programming is compiled with GNU GCC compiler on CodeLite IDE. However, these codes are compatible with all other operating systems.

Method 1: C Program To Implement Euler’s Method using For Loop

Must Read: Bisection Method C Program

Method 2: Implement Euler’s method in C programming

Must Read: Newton-Raphson Method C Program


Output

Calculate Euler's method in C Programming using For Loop with Output, Example, Theorem and Explanation

Let’s discuss more on Euler’s method in C programming in the comment section below if you have any compilation errors and any doubts about the same. For more information on Euler’s numerical analysis method, check Wikipedia.

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