how to get month name using current date as input in function

This should be fine.

It depends on the format of date. If you try with February 1, 2011 it would work, just change this string "MMMM d, yyyy" according to your needs. Check this for all format patterns.

And also, months are 0 based, so if you want January to be 1, just return month + 1

   private static int getMonth(String date) throws ParseException{  
            Date d = new SimpleDateFormat("MMMM d, yyyy", Locale.ENGLISH).parse(date);
            Calendar cal = Calendar.getInstance();
            cal.setTime(d);
            int month = cal.get(Calendar.MONTH);
            return month + 1;
    }

If you want month name try this

private static String getMonth(String date) throws ParseException{  
    Date d = new SimpleDateFormat("MMMM d, yyyy", Locale.ENGLISH).parse(date);
    Calendar cal = Calendar.getInstance();
    cal.setTime(d);
    String monthName = new SimpleDateFormat("MMMM").format(cal.getTime());
    return monthName;
}

As I said, check web page I posted for all format patterns. If you want only 3 characters of month, use "MMM" instead of "MMMM"