Dissipative wave equations constitute an extensive class of partial differential equations wherein damping terms play a pivotal role in governing the long-term dynamics of the system. Recent ...

Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...

Time-domain finite-difference (TDFD) method is the most dominant approach for seismic wavefield simulation. Due to the memory and computational cost of the computer, finite-difference (FD) simulations ...

Beijing Zhongke Journal Publising Co. Ltd. The study of large-time behavior of solutions to partial differential equations is a fundamental pursuit in mathematical analysis, with profound implications ...

In this lesson, we introduce the one dimensional wave equation and explore how it appears in electrodynamics. This video explains the basic concepts, physical meaning, and mathematical form of the ...