Researchers from Skoltech have published a paper in the journal Physica D: Nonlinear Phenomena presenting an analysis of steady propagating combustion waves—from slow flames to supersonic detonation ...

Abstract: The marine biodiversity, solid state physics and study on plasma physics, fluid flows have been represented by the shallow water wave equations. The proposed technique is convenient flexible ...

Abstract: Possibilities of a numerical method for solving the wave equation of gradient planar waveguides are studied. The method is based on both the Fourier transform application and the wave ...

Researchers at Tampere University and the University of Eastern Finland have reached a milestone in a study where they derived a new kind of wave equation, which applies for accelerating waves. The ...

A graphic artist is testing everyone’s knowledge of the mathematical order of operations with a string of numbers and missing arithmetic symbols. Gergely Dudás, of Budapest, Hungary, shared the new ...

1 Hefei No. 6 High School, Hefei, China. 2 Institute of Plasma Physics, Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei, China. In this paper, we use Riccati equation to find ...

Hello @lululxvi and all other contributors, thank you for the great work and continuous support! I have a couple of questions about DeepOnet: Is there an example for using DeepXDE's DeepOnet ...

A one-step new general mesh free scheme, which is based on radial basis functions, is presented for a viscous wave equation with variable coefficients. By constructing a simple extended radial basis ...