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Part Eight

Part Eight. Partial Differential Equations. Some Examples of PDEs. Linear PDE: if it is linear in the unknown function and all its derivatives, with coefficients depending only on the independent variables. (Which of the above are linear?). Steady-state PDEs – Elliptic Equations.

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Part Eight

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  1. Part Eight Partial Differential Equations

  2. Some Examples of PDEs Linear PDE: if it is linear in the unknown function andall its derivatives, with coefficients depending only on the independent variables. (Which of the above are linear?)

  3. Steady-state PDEs – Elliptic Equations (a) Temperature distribution on a heated plate; (b) seepage of water under a dam; (3) the electric field near the point of a conductor.

  4. Parabolic PDEs- The unknown function varies in both space and time -(only first derivative vs. time is involved)

  5. Hyperbolic PDEs- The unknown function varies in both space and time -(The second derivative vs. time is also involved)

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