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We review the theory of f(R) gravity.We note that conventionalapproach for the numerical solution does not appropriately solve thefield equation in high curvature regime.We have demonstrated thatthe new code works in the accuracy of one part in 105 even at themost unstable regime.Some peculiar behavior of field configurationchanging rapidly is noted near the limit at which General Relativityis recovered.More analysis will be necessary to confirm this point.