Nature

Exact solutions for nonlinear partial differential equations via a fusion of classical methods and innovative approaches

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 ...
Nature

Exploring potential hidden aspects of quantum field theory through numerical solution of the Klein–Gordon equation using the Yee algorithm

This study presents a novel reformulation of the Klein–Gordon (KG) equation by embedding it within a system of first-order Maxwell–Heaviside (MH)-like equations, enabling its numerical solution using ...