Skip to main content

One post tagged with "variable coefficients"

View All Tags

A new analytical formula for the wave equations with variable coefficients

· 14 min read
Tanger
Academic rubbish | CV Engineers | Visual bubble | compute math | PINN | Mathematical model

这是一篇变系数的波动方程,提出了一种新的格式。

摘要

摘要原文:

This article presents a new analytical formula for the Cauchy problem of the wave equation with variable coefficients, which is a much simpler solution than that given by the Poisson formula. The derivation is based on the variation-of-constants formula and the theory of pseudodifferential operator. The formula is applied to an example to illustrate the feasibility.

摘要翻译:

本文提出了一个新的解析公式,用于求解具有变系数的波方程的柯西问题,该公式比泊松公式给出的解要简单得多。该公式的推导基于常数变换公式和伪微分算子理论。该公式被应用于一个例子,以说明其可行性。