I recently update the design and title tag of my website but currently the old title tag of my website is showing the search engines and I want to change it So, kindly suggest me some trick through which I can index my site quickly.

The indexing rate is depends on updates in content not in design or any other coding updates so If you need updates and faster indexing then adding Google Webmaster tools and XML sitemap in website.

If your website has unique and fresh contents,created sitemap then I sure,it will index soon.Website loading time also does matter in indexing.

If you want to index your website quickly, you should post the new topics on article websites, do the social bookmarking and take part in to high PR forum discussion. You should also write the proper Meta description for your website and make the design and URL of the website SEO friendly.

I do take all above suggestions and use for my website indexing fast.

Fast way to index is Ping your url in various search engines by using free pinging tool.

There are some instant caching forums sites available on internet to do fastest indexing for any link. Just use the latest Google trends topic content and put in that forums sites and also your website link. This method will help you to do fast indexing. 

Very nice information shared thanks for the post.

Impressive piece of great work, i am impressed by this site.

Perhaps you need to create a sitemap and submit it to search engines.

Google webmaster tools and xml-sitemaps can be used for faster indexing.

Google webmaster tool is very nice tool for faster indexing of your site.