In this work, the study of the Peyrard-Bishop DNA dynamic model equation
analytically and numerically will present. The Kudryashov method and
modified Kudryashov method are used to nd the solution of the
Peyrard-Bishop DNA dynamic model equation analytically. A cubic B-spline
collocation method is used to obtain a numerical solution of the
Peyrard-Bishop DNA dynamic model equation. A comparison between the
results obtained by the analytical methods and the numerical method is
investigated. We give some figures to show how accurate the solutions
will be obtained from analytical and numerical methods.