Physics informed neural networks (PINNs), a type of machine learning approach, can be used to find the solution of differential equations by including all of the physics into the loss function and ...

with all the coefficients are fuzzy numbers. The FNE as follows, $$\begin{aligned} \begin{aligned}&{\tilde{a}}_{1}{\tilde{x}}^{3} + {\tilde{b}}_{1}{\tilde{x}}^{2 ...

After 10 years, Prof. Raimar Wulkenhaar from the University of Münster's Mathematical Institute and his colleague Dr. Erik Panzer from the University of Oxford have solved a mathematical equation ...

Non-linear physics is the study of systems where the output is not directly proportional to the input. Unlike linear systems, which follow simple, predictable relationships, non-linear systems exhibit ...