This paper presents a new approach for finding exact solutions to certain classes of nonlinear partial differential equations (NLPDEs) by combining the variation of parameters method with classical ...

Iterative methods form the backbone of numerical strategies for locating solutions of nonlinear equations, where direct analytic solutions are often unavailable. At their essence, these algorithms ...

Reproducing kernel Hilbert space method is utilized in this paper as an efficient approach to solve singular fourth order ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...