Revert Don.6. The simulation of parameter-distributed processes is connected with discretization in space andtime. The distribution of changes in the temperature x of a heated at the front massive long metalpiece is described by the following partial differential equation:a²x(z,t)Oz²ax(z,t)(1)= -a(x-0₂)+batwhere 0, is the ambient temperature, a and b are constants.Derive the discrete model by applying discretization first with respect to z (z;= i.Az) and after thatwith respect to t (tk=k.At), using backward finite differences for the corresponding derivatives.

Let us discretize the space and time by the following properties :- z→zi=i·∆z t→tk=k·∆t Also…

6. The simulation of parameter-distributed processes is connected with discretization in space and time. The distribution of changes in the temperature x of a heated at the front massive long metal piece is described by the following partial differential equation: ax(z,t) at fð²x(z,t) dz² (1) = -a(x-0₂)+b where 0, is the ambient temperature, a and b are constants. 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 distribution of changes in the temperature x of a heated at the front massive long metal piece is described by the following partial differential equation: ax(z,t) at fð²x(z,t) dz² (1) = -a(x-0₂)+b where 0, is the ambient temperature, a and b are constants. 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.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...

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