The University of Basrah discusses a seminar entitled An Enhanced Homotopy Analysis Method with a Dynamic Auxiliary Function for Nonlinear Differential Equations

The College of Science in the Department of Mathematics discussed a seminar entitled An Enhanced Homotopy Analysis Method with a Dynamic Auxiliary Function for Nonlinear Differential Equations for postgraduate student Azhar A. Khudhur. The seminar aims to discuss the study of developing the Homotopy Analysis Method (HAM) by introducing a fundamental modification of converting the auxiliary function from a traditional constant value to a variable (dynamic) function based on the homotopic coefficient p. Through this modification, an improved iterative formula was derived that increases the efficiency and accuracy of correcting the resulting series.