Most cases of simple, uncomplicated diverticulitis respond to conservative therapy with bowel rest.
Diet
People may be placed on a low fibre diet. It was previously thought that a low-fibre diet gives the colon adequate time to heal. Evidence tends to run counter to this, with a 2011 review finding no evidence for the superiority of low fibre diets in treating diverticular disease, and that a high-fibre diet may prevent diverticular disease. A systematic review published in 2012 found no high-quality studies, but found that some studies and guidelines favour a high-fibre diet for the treatment of symptomatic disease. While it has been suggested that probiotics may be useful for treatment, the evidence currently neither supports nor refutes this claim.
there is no conclusion about this . I think should try to fin the proper stragety by yourself.
Antibiotics
The use of antibiotics in mild cases of uncomplicated diverticulitis is supported with only "sparse and of low-quality" evidence, with no evidence supporting their routine use.
In spite of this, antibiotics are recommended by several current guidelines when there is evidence of abscess, fistula, or intestinal rupture with peritonitis by CT scan , antibiotics are recommended and routinely used.