Heun's Method

A method for differential equations calculation is presented here. It also consists of thorough description about this method.

1. Heun's Method Presented by: Rabin BK BSc.CSIT 3 r d Semester

2. CONTENTS Introduction Graphical study References

3. Heun's method may refer to the improved or modified Euler's method or a similar two-stage Runge–Kutta method Used to solve Initial Value Problem (I.V.P) N amed after Karl Heun A numerical procedure for solving ordinary differential equations (ODEs) with a given initial value It is an attempt to use information about the slope at both end points to find the average slope Introduction

4. y n +1 = y n + (1/2) h (slopeleft + sloperight) x n +1 = x n + h y n +1 = y n + (h/2) (f(x n , y n ) + f(x n + h, y n + h f(x n , y n ))) Heun's Formula

5. R eferences Süli, Endre; Mayers, David (2003), An Introduction to Numerical Analysis, Cambridge University Press, ISBN 0-521-00794-1. "Numerical Methods for Solving Differential Equations". San Joaquin Delta College. Archived from the original on 2009-02-1 http://calculuslab.deltacollege.edu/ODE/7-C-2/7-C-2-h.html (figures) "The Euler-Heun Method" (PDF). LiveToad.org. Leader, Jeffery J. (2004), Numerical Analysis and Scientific Computation, Boston: Addison-Wesley, ISBN 0-201-73499-0.

6. Queries