  Background: Nuclear transfer reactions are a useful tool to study the
structure of a nucleus. For reactions involving weekly bound nuclei, breakup
effects can play significant role and theoretical calculations can be
computational expensive in such cases.
  Purpose: To utilize the Lagrange-mesh and R-matrix methods for nuclear
transfer reactions.
  Methods: We use the adiabatic distorted wave approximation (ADWA) method
which can approximately treats the breakup effects in a simpler manner. In our
approach, we apply the R-matrix method combining it with the Lagrange-mesh
method, which is known to provide the fast and accurate computations.
  Results: As a test case, we calculate the angular distribution of the cross
sections for the 54Fe(d, p)55Fe reaction, where deuteron breakup effects play
important role.
  Conclusions: We show that these methods work well in the ADWA framework, and
we look forward to applying these methods in coupled channel calculations.
