Many models used to explain physical events are written in the form of a nonlinear differential equation. Semi-analytical methods have been developed, such as the homotropy analysis method (HAM), to solve nonlinear ordinary/partial differential equations; on the other hand, non-perturbative methods have been developed to investigate physical problems that do not require a small physical parameter to be used as the perturbation parameter. The auxiliary parameter, which is stored in the HAM, allows for straightforward regulation of the series solutions' convergent area. This analytic strategy is used to get the precise answers to linear-algebra problems. The results demonstrate the efficacy and ease of the suggested approach

Analysis, Method, Homotopy, Nonlinear, Parameters, Linear, Algebra