I bumped across this simple website (with no ads) where you can send SMS to anywhere in the world, completely free of cost!!
You Just need to enter the message you want to send in the first box and then enter the phone number of the recipient in the next box and click SEND. Isn’t that simple? But make sure you enter two zeros before the number (in international format). For example, to send the SMS to a number in India, enter 00919xxxxxxxxx
I tried sending 3 different messages to 3 different people and all of them were sent successfully and that too the messages were ad-free unlike other similar online free-sms services!! Check it out and let me know if it was useful 
Raju PP is the founder-editor of Technically Personal, which is one of the most widely read technology blogs on the web. He holds an Engineering degree in Electronics & Communication, and has previously worked as a Technical Specialist in Banking Software domain.
To get Bulk SMS and Short Code Services in over 182 countries worldwide visit http://sms.globalbulksms.com/ & http://globalwebsms.com/