Consider the simple diffusion equation with a source term: ft-Dfxx = kf Use the central-space, forward-time difference method to: a) Drive the modified equation and determine the accuracy and consistency of this scheme. b) Find the stability condition (or conditions) for this scheme by von Neumann's method.

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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.6P
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Problem 4
Consider the simple diffusion equation with a source term:
ft-Dfxx = kf
Use the central-space, forward-time difference method to:
a) Drive the modified equation and determine the accuracy and consistency of this
scheme.
b) Find the stability condition (or conditions) for this scheme by von Neumann's method.
LI
Transcribed Image Text:Problem 4 Consider the simple diffusion equation with a source term: ft-Dfxx = kf Use the central-space, forward-time difference method to: a) Drive the modified equation and determine the accuracy and consistency of this scheme. b) Find the stability condition (or conditions) for this scheme by von Neumann's method. LI
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