Yes , we have just use the Dispatch Action class for ignore the execute method.

If your Action class extends from  Dyna Action Action, then 
you can develop struts action class with out execute 
method. Because in that action class we write our own 
methods insted of execute method.

EXAMPLE:
public class Dispatch_Action extends DispatchAction
{  

public ActionForward add(
    ActionMapping mapping,
    ActionForm form,
    HttpServletRequest request,
    HttpServletResponse response) throws Exception{
    System.out.println("You are in add function.");
      return mapping.findForward("add");
  }

 public ActionForward delete(
    ActionMapping mapping,
    ActionForm form,
    HttpServletRequest request,
    HttpServletResponse response) throws Exception
 {
    System.out.println("You are in delete function.");
            return mapping.findForward("delete");
  }
 public ActionForward search(
    ActionMapping mapping,
    ActionForm form,
    HttpServletRequest request,
    HttpServletResponse response) throws Exception{
    System.out.println("You are in search function");
    return mapping.findForward("search");
   }
  public ActionForward save(
    ActionMapping mapping,
    ActionForm form,
    HttpServletRequest request,
    HttpServletResponse response) throws Exception{
    System.out.println("You are in save function");
    return mapping.findForward("save");
  
 }
}

I want to add some points reply of Sreekanth Madamanchi.
1. DynaAction class should be used only when you are having
more then one action on you form.
2. JSP must have same action name as of method in the action
class