It seems that there is no way to transfer text messages from computer to iphone.Yes, unless you use some tool to do it.. Actually, there is some third part tool-
Coolmuster SMS Messages Softwareto transfer sms from pc to iphone .This is one of the efficient program. You can have a try.
Guide:
How to send text conversation from computer to smart phoneStep 1. Launch the Program - Coolmuster How to Print Text Messages & Enable USB Debugging.

Enable USB Debugging in your phone, different versions of Android so have different operation:
For Android 2.3 or earlier: Enter "Settings" < Click "Applications" < Click "Development" < Check "USB debugging"
For Android 3.0 to 4.1: Enter "Settings" < Click "Developer options" < Click’s debugging"
For Android 4.2 or newer: Enter "Settings" < Click "About Phone" < Tap "Build number" for several times until getting a note "You are under developer mode" < Back to "Settings" < Click "Developer options" < click "USB debugging"
Step 2. Send Messages to Anyone You Like
It seems that there is no way to transfer text messages from computer to iphone.Yes, unless you use some tool to do it.. Actually, there is some third part tool-[b][url=http://www.how-to-print-text-messages.com/]Coolmuster SMS Messages Software[/url][/b]to transfer sms from pc to iphone .This is one of the efficient program. You can have a try.
Guide:[url=http://www.how-to-print-text-messages.com/resources/how-to-send-messages-from-pc-to-iphone.html]How to send text conversation from computer to smart phone[/url]
Step 1. Launch the Program - Coolmuster How to Print Text Messages & Enable USB Debugging.
[img]http://www.how-to-print-text-messages.com/images/screenshot/usb-debugging.jpg[/img]
Enable USB Debugging in your phone, different versions of Android so have different operation:
For Android 2.3 or earlier: Enter "Settings" < Click "Applications" < Click "Development" < Check "USB debugging"
For Android 3.0 to 4.1: Enter "Settings" < Click "Developer options" < Click’s debugging"
For Android 4.2 or newer: Enter "Settings" < Click "About Phone" < Tap "Build number" for several times until getting a note "You are under developer mode" < Back to "Settings" < Click "Developer options" < click "USB debugging"
Step 2. Send Messages to Anyone You Like