Picards Method C Program

 

C Program For Picards Method in Numerical Analysis

Let us understand the concept of Picards Method in numerical analysis and learn how to implement Picard’s method in C programming language.

What is Picard’s Method?

The Picard’s method is an iterative method and is primarily used for approximating solutions to differential equations.

 

The Picard’s iterative method gives a sequence of approximations Y1(x),  Y2(x), ….., Yk(x) to the solution of differential equations such that the nth approximation is obtained from one or more previous approximations.

Must Read: C Program For Newton-Raphson Method

The Picard’s iterative series is very easy to implement and the solutions obtained through this numerical analysis are generally power series.

   

Picard’s Iteration Method Formula

Picard's Iteration Method Formula for differential equations

Picard’s Iteration Example

Initial Value: 20
End Value: 40
Allowed Error: 0.5
X = 20.000
Y(1) = 202518.2917
Y(2) = 42001177.1458
Y(3) = 1569554.333

   

Must Read: C Program For Bisection Method

Note: This C program for Picard’s method is compiled using CodeLite IDE with GNU GCC compiler on Microsoft Windows 10 operating system. However, this Picard’s method C program is compatible with all other operating systems.

C Program To Implement Picards Method using For Loop

Must Read: C Program For Regula Falsi Method

Output

C Program For Picards Method using For Loop in Numerical Analysis with Example and Output

Let’s discuss more on Picard’s Method in C programming in the comment section below if you have any compilation errors or any doubts about the same. For more information on Picard’s Iterative Method, check MathForum.

One thought on “Picards Method C Program

  1. Akshay Diwakar

    Thank you so much for c code for Picards numerical method. I couldnt find it in much places.

    Reply

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