3) Use the finite-difference approach to discretize d²y dy - 2 -y+x = 0 dx using Ar = 2 with the boundary conditions y(0) = 5 and y(20) = 8. Solve a set of resulting algebraic equations using the tridiagonal, Gauss-Seidel, or LU decomposition methods for systems of linear equations. Show a table with the values of y for each step and make a plot of y as a function of x. %3D

3) Use the finite-difference approach to discretize d²y dy - 2 -y+x = 0 dx using Ar = 2 with the boundary conditions y(0) = 5 and y(20) = 8. Solve a set of resulting algebraic equations using the tridiagonal, Gauss-Seidel, or LU decomposition methods for systems of linear equations. Show a table with the values of y for each step and make a plot of y as a function of x. %3D

Name: 3) Use the finite-difference approach to discretizedy-- y+x= 0dxdx?us
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Description: 3) Use the finite-difference approach to discretizedy-- y+x= 0dxdx?using Ar = 2 with the boundary conditions y(0) = 5 and y(20) = 8. Solve a set of resultingalgebraic equations using the tridiagonal, Gauss-Seidel, or LU decomposition methods forsyst

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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3) Use the finite-difference approach to discretize
dy
-- y+x= 0
dx
dx?
using Ar = 2 with the boundary conditions y(0) = 5 and y(20) = 8. Solve a set of resulting
algebraic equations using the tridiagonal, Gauss-Seidel, or LU decomposition methods for
systems of linear equations. Show a table with the values of y for each step and make a plot of y
as a function of x.

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