A Three-Stage Fifth-Order Runge-Kutta Method for Directly Solving Special Third-Order Differential Equation with Application to Thin Film Flow Problem

Figure 1

The efficiency curves of the RKD5 method and its comparisons for Problem 1 with 𝑥_end=10 and ℎ=1/2^𝑖, 𝑖=1,…,5.