Development and analysis of the Lagrange interpolation method for solving multidimensional nonlinear equations

Abstract

The development of the Lagrange interpolation methodology and its analysis can enhance its accuracy, efficiency, and flexibility in solving multidimensional nonlinear equations. The article discusses the development and analysis of the Lagrange interpolation method as an effective means of solving multidimensional nonlinear equations. This method is based on estimating the functional values from known points, which provides accurate and fast solutions to complex mathematical problems. The Lagrange interpolation code has been improved for higher performance and greater efficiency through techniques such as the use of the polynomial database.