RKFD Methods - a short review
  In this paper, a recently published method [Hussain, Ismail, Senua, Solving directly special fourth-order ordinary differential equations using Runge-Kutta type method, J. Comput. Appl. Math. 306 (2016) 179-199] for solving fourth-order ordinary differential equations is summarized and reviewed. An independant implementation of one of the published methods is also tested and benchmarked against the RK4 method. 
Maciej Jaromin
math.NA