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Following a previous paper [Y. Shi, Phys. Rev. C 98, 014329(2018)], wepresent an extension of the density-functional theory to allow for dynamiccalculations based on the obtained static Hartree-Fock results. We performextensive benchmark calculations, by comparing the calculated results with thatof an existing code Sky3D. To perform linear-response calculations using theTDDFT method, comparisons have been made with the finite-amplitudequasiparticle random-phase approximation (FAM-QRPA) method. We plan to applythe TDDFT method to a systematic description of the IVD resonances in the Zr,Mo, and Ru isotopes.  The strengths of IVD resonances are calculated using two complementarymethods: TDDFT and FAM-QRPA methods. For the TDDFT results, additionalbenchmark calculations have been performed using the well-tested code Sky3D. Inthese three models, the important ingredients which have major influence on theresults, such as time-odd potentials, boundary conditions, smoothingprocedures, spurious peaks etc., have been carefully examined.  The current TDDFT and the Sky3D codes yield almost identical responsefunctions once both codes use the same time-odd mean fields and absorbingboundary conditions. The strengths of the IVD resonances calculated using theTDDFT and FAM-QRPA methods agree reasonably well with the same position of thegiant dipole resonance. Upon seeing a reasonable accuracy offered by theimplemented code, we perform systematic TDDFT calculations for spherical Zr andMo isotopes near $N=50$, where experimental data exist. For neutron-rich Zr,Mo, and Ru isotopes where shape evolution exist we predict the photoabsorptioncross sections based on oblate and triaxial minima.

An implementation of nuclear time-dependent density-functional theory and its application to the nuclear isovector electric dipole resonance