Finite Difference Method solution to Laplace's Equation

Objective of the program is to solve for the steady state DC voltage using Finite Difference Method

Authors - Sathya Swaroop Ganta, Kayatri, Pankaj Arora, Sumanthra Chaudhuri, Projesh Basu, Nikhil Kumar CS

Course - Computational Electromagnetics, Fall 2011

Instructor - Dr. Ananth Krishnan
Assistant Professor

Department of Electrical Engineering

Indian Institute of Technology Madras
Chennai, India

http://www.youtube.com/watch?v=mKQxKGlWgy8

Description:-
Objective of the program is to solve for the steady state voltage distribution in a region 0<x<30, 0<y<30, given that one of the sides of square is excited with a voltage of 45*(x)*(1-x) Volts and all other sides are maintained at 0 Volts. This voltage at the boundary is symmetrical with its maximum value at centre of the boundary namely x=15. At any iteration, the value of voltage is updated as average of voltages of 4 nearest neighbors, until between consecutive iterations, the error is less than 0.01 V.