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6. The simulation of parameter-distributed processes is connected with discretization in space and time. The diffusion process is described by the following partial differential equation: Əx Ət 3 -k. a²x -= u(z,t) az ² where k is the diffusion coefficient. Derive the discrete model by applying discretization first with respect to z (z;= i.Az) and after that with respect to t (tk=k.At), using backward finite differences for the corresponding derivatives.

6. The simulation of parameter-distributed processes is connected with discretization in space and time. The diffusion process is described by the following partial differential equation: Əx Ət 3 -k. a²x -= u(z,t) az ² where k is the diffusion coefficient. Derive the discrete model by applying discretization first with respect to z (z;= i.Az) and after that with respect to t (tk=k.At), using backward finite differences for the corresponding derivatives.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5- Aav 0 4 6. The simulation of parameter-distributed processes is connected with discretization in space and time. The diffusion process is described by the following partial differential equation: 0²x -k. = u(z,t) A Ju 13 V Ev OV ** Əx at əz² where k is the diffusion coefficient. Derive the discrete model by applying discretization first with respect to z (z;= i.Az) and after that with respect to t (tk=k.At), using backward finite differences for the corresponding derivatives. Reve
Transcribed Image Text:5- Aav 0 4 6. The simulation of parameter-distributed processes is connected with discretization in space and time. The diffusion process is described by the following partial differential equation: 0²x -k. = u(z,t) A Ju 13 V Ev OV ** Əx at əz² where k is the diffusion coefficient. Derive the discrete model by applying discretization first with respect to z (z;= i.Az) and after that with respect to t (tk=k.At), using backward finite differences for the corresponding derivatives. Reve
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