Answer
(Fatwa: 1510/1510/M=1431)
(1-2) It is not a condition to have wudhu merely for the recitation of the holy Quran. One can recite the holy Quran by watching it in the laptop, computer or mobile without wudhu. However, when the Quranic verses appear on the screen it is not lawful to touch the screen without wudhu.
(3) If one fears that the letter will be thrown here and there and it will cause desecration, one should not write Allah’s name in the letter. In the same way, one should avoid writing Allah’s name in mobile messages.
Allah (Subhana Wa Ta’ala) knows Best
Darul Ifta,
Darul Uloom Deoband