Advanced numerical techniques for solving fractional groundwater flow equations

Abstract

The paper explores advanced numerical methods to solve groundwater flow equations, with a particular emphasis on the variational iteration method. Groundwater flow modeling is crucial for understanding and managing water resources, but the complex nature of these systems often leads to equations that are challenging to solve analytically. We demonstrate the application of the variational iteration method to a specific groundwater flow equation, comparing its performance and accuracy to traditional numerical methods. Our results show that the variational iteration method offers significant advantages in terms of computational efficiency and solution accuracy, particularly for non linear groundwater flow problems. This study helps to develop the growing field of research on innovative numerical methods in hydrogeology and provides information on the potential of the variational iteration method for broader applications in environmental modeling.