$('#cancel').click(function(e) {
         e.preventdefault();
//set value of cancel button to a variable
          var value = $("#cancel").val();
                $.ajax({
                  method: "POST",
                  url: "updatetable.php",
                  data: {cancel: value},

                });
        });

//updatetable.php
     if($_POST['cancel']) {

     echo $_POST['cancel'];
     }

<button type='submit' class='btn btn-danger' name = 'cancel' id = 'cancel' value='".$row['order_id']."'>Cancel</button>
 <button type='submit' class='btn btn-success' name = 'received' id= 'received' value='".$row['order_id']."'>Received</button>