Fig. 2

A traveling transverse wave which occurrence can be in the form of surface ripples on water. A–H show the different types of disturbance caused by the wave as \(0 \le \alpha \le 1\). In E, it could be observed that proper crests are formed as \(\alpha \to 1\). This means that the frequency of the disturbance will peak at an integer order. Figure G shows the behavioral pattern of the wave amplitude at different levels of \(\alpha\). The amplitude is periodically accelerated as \(\alpha\) increases, and the highest amplitude is recorded as a unit for the wavelength considered. In H, the efficiency of the modified initial guess technique is proved as it produces an approximate result that converges to the exact solution