Write a MATLAB program that solves the diffusion equation subject to the boundary conditions y(0) = 1

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Write a MATLAB program that solves the diffusion equation d-y =0 dx2

subject to the boundary conditions y(0) = 1 and dy/dx = −y^3/2 at x = 1 using finite centered differences. Show that your numerical result agrees with the analytical solution to this nonlinear problem by plotting both results together.

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Numerical Methods With Chemical Engineering Applications

ISBN: 9781107135116

1st Edition

Authors: Kevin D. Dorfman, Prodromos Daoutidis

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Question Posted: Oct 22, 2023 05:30 AM

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Write a MATLAB program that solves the diffusion equation subject to the boundary conditions y(0) = 1

Question:

d-y =0 dx2

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Numerical Methods With Chemical Engineering Applications

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