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Graduate Wave equation in cylindrical coordinates - different expression?
Thank you very much for you reply! You mean to make chain rule on this term? 1/r⋅∂/∂r⋅(r⋅∂u/∂r) or ∂2u/∂r2 I ask because when I´ll make a chain rule on ∂2u/∂r2 term, I think, that I have to obtain a Laplace operator for cartesian coord. system...- MiSo
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- Forum: Differential Equations
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Graduate Wave equation in cylindrical coordinates - different expression?
An attachment...- MiSo
- Post #2
- Forum: Differential Equations
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Graduate Wave equation in cylindrical coordinates - different expression?
Hello to everybody, I am solving some examples related to wave equation of shear horizontal wave in cylindrical coordinates (J.L Rose: Ultrasolic Waves in Solid Media, chapter 6), which is expressed as follows: ∇2u=1/cT2⋅∂2u/∂t2 The Laplace operator in cylindrical coordinates can can be...- MiSo
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- Coordinates Cylindrical Cylindrical coordinates Expression Wave Wave equation
- Replies: 4
- Forum: Differential Equations