Consider the following differential equation: Assume a solution of the form: (tilde{u}(x)=c_{1} x+c_{2} x^{2}). Calculate the unknown

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Consider the following differential equation:

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Assume a solution of the form: $\tilde{u}(x)=c_{1} x+c_{2} x^{2}$. Calculate the unknown coefficients using the Galerkin method. Compare $u(x)$ and $d u(x) / d x$ with the exact solution: $u(x)=3.7 \sin x-x$ by plotting the solution.

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Introduction To Finite Element Analysis And Design

ISBN: 9781119078722

2nd Edition

Authors: Nam H. Kim, Bhavani V. Sankar, Ashok V. Kumar

Question Posted: Mar 16, 2024 12:21 PM

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Consider the following differential equation: Assume a solution of the form: (tilde{u}(x)=c_{1} x+c_{2} x^{2}). Calculate the unknown

Question:

du +u+x=0, 0x1 dr u(0)=0 du = 1. dr x=1

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Introduction To Finite Element Analysis And Design

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