The Temimi and Ansari Technique (TAM), a new and powerful analytical method, has been proposed for solving nonlinear problems. As demonstrated by the findings, the method converges to the correct solution while handling nonlinear problems elegantly, accurately, and comfortably. The TAM result shows suggested methods are accurated and effective. The TAM-obtained solution is close to the actual solution. In addition, this approach is uncomplicated, derivative-free, easy to use, comfortable, and requires minimal computing power. To show how well the recommended approach applies, the solution graphs are displayed.