Numerical solutions of bloch equations with fortran

Ill SUMMARY In this study, the Bloch Equations have been solved by using numerical algorithms. These equations are known as fundamental equations for NMR theory. To do this, numerical algorithms have been discussed firstly. The problem of solving the Bloch equations is an initial value problem for ordinary differential equations. For solving this problem numerically one step methods, multi step methods and predictor - corrector algorithms have been considered and compared. The fourth order Runge - Kutta method ( which is also known as classical Runge - Kutta algorithm ) have been used for solving Bloch equations numerically. And at last a computer programme has been written in FORTRAN language which solves Bloch equations by using 4. order Runge - Kutta method. Bloch equations have also been solved by analytically and results have been discussed.