An efficient technique for the point reactor kinetics equations with Newtonian temperature feedback effects

► An efficient technique for the nonlinear reactor kinetics equations is presented. ► This method is based on Backward Euler or Crank Nicholson and fundamental matrix. ► Stability of efficient technique is defined and discussed. ► This method is applied to point kinetics equations of six-groups of delayed neutrons. ► Step, ramp, sinusoidal and temperature feedback reactivities are discussed.