Great sage agasthiar had revealed a special rama mantra for each week.This procedure is called Rama vaara nama japa vithi. This is a special siddha procedure for daily meditation and chanting sri ram's divine mantra.
Tuesday - Sri Ram Jaya Ram Jaya Jaya Ram
Wednesday - Hari Rama Hari Rama Rama Rama Hari Hari
Thursday - Jaya Rama Siva Rama Guru Rama Jaya Ram
Friday - Sita Rama Hanumantha Rama Sita Hanumantha
Saturday - Sri Ram Jaya Ram Sundara Ram
Sunday - Sri Ram Jaya Ram Raghu Ram
Special Wish Fulfilling Mantra - Sri Ram Jaya Ram Kodhanda Ram
Thanks to agasthiar website.