ABSTRACT
The present study is to address an analytical solution to a two-dimensional similarity boundary-layer flow problem originated by the motion of an impermeable flat plate using the homotopy (series solution) approach. By employing a suitable similarity transformation, we reduce the equations which govern the flow to ordinary differential equations. The influence of parameter (control parameter and σ* = f 0(∞) in base function) in the homotopy analysis method (HAM) is examined through graphical and tabular representations. The study demonstrates that the control parameter plays a significant role in shaping the flow and solution process. Further, to understand the computational efficiency of the HAM, we analysed the residual errors and computational time in relation to the iteration process, offering valuable insights into the number of iterations required for efficient computational execution. This information aids in understanding the computational efficiency of the method and its applicability to similar problems. The study underscores the effect of control parameter and σ* = f 0(∞) on the flow and solution process, emphasizing the flexibility of homotopy series solution with help of computational time and accuracy in solving complex boundary value problems.
