How the mathematical wave equation was derived

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SUMMARY

The mathematical wave equation is derived using principles from physics and mathematics, specifically through the application of partial differential equations. A recommended resource for understanding this derivation is a specific video that provides a clear explanation in its initial minutes. Participants in the discussion emphasized the importance of identifying specific points of confusion to facilitate better assistance in grasping the derivation process.

PREREQUISITES
  • Understanding of partial differential equations
  • Basic knowledge of wave mechanics
  • Familiarity with mathematical modeling techniques
  • Experience with calculus and linear algebra
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  • Watch the recommended video on wave equation derivation
  • Study the principles of partial differential equations
  • Explore wave mechanics in physics
  • Practice mathematical modeling techniques relevant to wave phenomena
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Students and educators in physics and mathematics, researchers in wave mechanics, and anyone seeking to deepen their understanding of the mathematical foundations of wave phenomena.

Ercross
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Please, I've been unable to comprehend how the mathematical wave equation was derived.. Please can anyone explain it to me...
 
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Ercross said:
Please, I've been unable to comprehend how the mathematical wave equation was derived.. Please can anyone explain it to me...

You'll have to tell us more before we can help. Show us the derivation you're having trouble with, and tell us at which point you're getting stuck, and we may be able to help you through it.
 
The first minutes in this video has an excellent and clear derivation:
 

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