Consider the following differential equationd²u+u=1on0 < x <1dx²and boundary conditionsu(x = 1) = 0du= 0dxx=0Obtain quadratic trial solutions using(a) collocation(b) the Galerkin weighted residual method(c) the weak form of the Galerkin weighted residual statement

Here is the detailed solution:To obtain quadratic trial solutions for the given differential…

Answered: Consider the following differential…

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