5. Solve the DE dy d²y xdx² dx - 4x = 0, 1

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
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5. Solve the DE
dy
d²y
xdx² dx
- 4x = 0,
1<x<2
with y(1) = y(2) = 0.
a) Using weak form and Galerkin Method by two linear elements of equal
length.
b) Using weighted residual methods i) Bubnov-Galerkin Model and ii) Least-
Squares Model by one Hermite Element. (We cannot use Lagrange elements.
Why?)
Transcribed Image Text:5. Solve the DE dy d²y xdx² dx - 4x = 0, 1<x<2 with y(1) = y(2) = 0. a) Using weak form and Galerkin Method by two linear elements of equal length. b) Using weighted residual methods i) Bubnov-Galerkin Model and ii) Least- Squares Model by one Hermite Element. (We cannot use Lagrange elements. Why?)
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