How to programmatically empty browser cache?

There's no way a browser will let you clear its cache. It would be a huge security issue if that were possible. This could be very easily abused - the minute a browser supports such a "feature" will be the minute I uninstall it from my computer.

What you can do is to tell it not to cache your page, by sending the appropriate headers or using these meta tags:

<meta http-equiv='cache-control' content='no-cache'>
<meta http-equiv='expires' content='0'>
<meta http-equiv='pragma' content='no-cache'>

You might also want to consider turning off auto-complete on form fields, although I'm afraid there's a standard way to do it (see this question).

Regardless, I would like to point out that if you are working with sensitive data you should be using SSL. If you aren't using SSL, anyone with access to the network can sniff network traffic and easily see what your user is seeing.

Using SSL also makes some browsers not use caching unless explicitly told to. See this question.

It's possible, you can simply use jQuery to substitute the 'meta tag' that references the cache status with an event handler / button, and then refresh, easy,

$('.button').click(function() {
    $.ajax({
        url: "",
        context: document.body,
        success: function(s,x){

            $('html[manifest=saveappoffline.appcache]').attr('content', '');
                $(this).html(s);
        }
    }); 
});

NOTE: This solution relies on the Application Cache that is implemented as part of the HTML 5 spec. It also requires server configuration to set up the App Cache manifest. It does not describe a method by which one can clear the 'traditional' browser cache via client- or server-side code, which is nigh impossible to do.

use html itself.There is one trick that can be used.The trick is to append a parameter/string to the file name in the script tag and change it when you file changes.

<script src="myfile.js?version=1.0.0"></script>

The browser interprets the whole string as the file path even though what comes after the "?" are parameters. So wat happens now is that next time when you update your file just change the number in the script tag on your website (Example <script src="myfile.js?version=1.0.1"></script>) and each users browser will see the file has changed and grab a new copy.