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Consider the following differential equation d²u +u=1 on 0 < x <1 dx² and boundary conditions u(x = 1) = 0 du = 0 dx x=0 Obtain quadratic trial solutions using (a) collocation (b) the Galerkin weighted residual method (c) the weak form of the Galerkin weighted residual statement

Consider the following differential equation d²u +u=1 on 0 < x <1 dx² and boundary conditions u(x = 1) = 0 du = 0 dx x=0 Obtain quadratic trial solutions using (a) collocation (b) the Galerkin weighted residual method (c) the weak form of the Galerkin weighted residual statement

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Consider the following differential equation d²u +u=1 on 0 < x <1 dx² and boundary conditions u(x = 1) = 0 du = 0 dx x=0 Obtain quadratic trial solutions using (a) collocation (b) the Galerkin weighted residual method (c) the weak form of the Galerkin weighted residual statement
Transcribed Image Text:Consider the following differential equation d²u +u=1 on 0 < x <1 dx² and boundary conditions u(x = 1) = 0 du = 0 dx x=0 Obtain quadratic trial solutions using (a) collocation (b) the Galerkin weighted residual method (c) the weak form of the Galerkin weighted residual statement
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