You can actually a method called after() in newer version of Chrome, Firefox and Opera. The downside of this method is that Internet Explorer doesn't support it yet.
Example:
// You could create a simple node
var node = document.createElement('p')
// And then get the node where you want to append the created node after
var existingNode = document.getElementById('id_of_the_element')
// Finally you can append the created node to the exisitingNode
existingNode.after(node)
A simple HTML Code to test that is:
<!DOCTYPE html>
<html>
<body>
<p id='up'>Up</p>
<p id="down">Down</p>
<button id="switchBtn" onclick="switch_place()">Switch place</button>
<script>
function switch_place(){
var downElement = document.getElementById("down")
var upElement = document.getElementById("up")
downElement.after(upElement);
document.getElementById('switchBtn').innerHTML = "Switched!"
}
</script>
</body>
</html>As expected, it moves the up element after the down element