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Math: Calculus: Type: What are the main linear partial differential equation types?

Apr 16th, 2005 03:32
Knud van Eeden,


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--- Knud van Eeden --- 13 April 2005 - 06:38 pm ----------------------

Math: Calculus: Type: What are the main linear partial differential 
equation types?

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1. Elliptic
a----------------------------------------------------------------------
--- Knud van Eeden --- 13 April 2005 - 06:38 pm ----------------------

Math: Calculus: Type: What are the main linear partial differential 
equation types?

---

1. Elliptic

    example uses:

     -steady heat transfer

     -flow and diffusion

     -magnetostatics and electromagnetics in conductive materials

2. Parabolic

    example uses:

     -transient heat transfer

     -flow and diffusion in porous media

3. Hyperbolic

    example uses:

     -transient and harmonic wave propagation in acoustics

     -transverse motion of membranes

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---

Eigenvalue:

example uses:

-study of eigenmodes and frequencies in acoustics

-transverse and longitudinal motions of membranes

-quantum mechanics

-electromagnetic wave propagation

---
---

Internet: see also:

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Math: Calculus: Differential equation: Partial: Link: Overview: Can 
you give an overview of links?
http://www.faqts.com/knowledge_base/view.phtml/aid/35621/fid/813

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    example uses:

     -steady heat transfer

     -flow and diffusion

     -magnetostatics and electromagnetics in conductive materials

2. Parabolic

    example uses:

     -transient heat transfer

     -flow and diffusion in porous media

3. Hyperbolic

    example uses:

     -transient and harmonic wave propagation in acoustics

     -transverse motion of membranes

---
---

Eigenvalue:

example uses:

-study of eigenmodes and frequencies in acoustics

-transverse and longitudinal motions of membranes

-quantum mechanics

-electromagnetic wave propagation

---
---

Internet: see also:

---



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