This paper studies a fifth order nonlinear partial differential equation that describes nonlinear waves in fluids and oceans. Exact solutions are obtained for this equation using the travelling wave ...

A collection of resources regarding the interplay between differential equations, deep learning, dynamical systems, control and numerical methods.

Therefore, this paper utilizes partial differential equations, gradient information of edges, and reconstructed stop functions to improve the quality of weak edge detection. Moreover, it can ...

Implicit-explicit (IMEX) schemes have been widely used, especially in conjunction with spectral methods, for the time integration of spatially discretized partial differential equations (PDEs) of ...

The study focuses on the nonlinear phenomena observed in the reaction–diffusion model within the unsteady-state regime. The current study utilizes the approximate analytical Laplace transform ...