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L q = q(x) E=3P L=12; P=4; q(x) = Px(x- L) 1. State mathematical formulation of the problem (balance equation and boundary conditions) (3 points) 2. Determine the type of boundary conditions (essential or natural) (2 points) 3. Solve the problem by Galerkin method using ₁ = N₁ = x, n₂ = N₂ = x² (26 points). 4. Compute the residual rf of the boundary condition specified at x=L (2 points). 5. Determine the residual in balance equation, r. (2 points)

L q = q(x) E=3P L=12; P=4; q(x) = Px(x- L) 1. State mathematical formulation of the problem (balance equation and boundary conditions) (3 points) 2. Determine the type of boundary conditions (essential or natural) (2 points) 3. Solve the problem by Galerkin method using ₁ = N₁ = x, n₂ = N₂ = x² (26 points). 4. Compute the residual rf of the boundary condition specified at x=L (2 points). 5. Determine the residual in balance equation, r. (2 points)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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L q = q(x) E=3P L=12; P=4; q(x) = Px(x- L) 1. State mathematical formulation of the problem (balance equation and boundary conditions) (3 points) 2. Determine the type of boundary conditions (essential or natural) (2 points) 3. Solve the problem by Galerkin method using ₁ = N₁ = x, n₂ = N₂ = x² (26 points). 4. Compute the residual rf of the boundary condition specified at x=L (2 points). 5. Determine the residual in balance equation, r. (2 points)
Transcribed Image Text:L q = q(x) E=3P L=12; P=4; q(x) = Px(x- L) 1. State mathematical formulation of the problem (balance equation and boundary conditions) (3 points) 2. Determine the type of boundary conditions (essential or natural) (2 points) 3. Solve the problem by Galerkin method using ₁ = N₁ = x, n₂ = N₂ = x² (26 points). 4. Compute the residual rf of the boundary condition specified at x=L (2 points). 5. Determine the residual in balance equation, r. (2 points)
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