Question: As preparation for project one, solve the following boundary value problems in matlab using the two element approximation with nodes at x = 0, x=

 As preparation for project one, solve the following boundary value problems

As preparation for project one, solve the following boundary value problems in matlab using the two element approximation with nodes at x = 0, x= /, and x = 1. For each one, plot your numerical solution along with the exact solution. (1 point for Matlab exact solution, 1 for the Galerkin solution, and 1 point for the plot for each one.) a (U,xx-3 = 0 u (0) = 1 (u(1) = 0 b. (u,xx - x = 0 u(0) = 1 (ux (1) = 1 c. (U,xx - 3x = 0 u,x () = 2 ( u(1) = 0 As preparation for project one, solve the following boundary value problems in matlab using the two element approximation with nodes at x = 0, x= /, and x = 1. For each one, plot your numerical solution along with the exact solution. (1 point for Matlab exact solution, 1 for the Galerkin solution, and 1 point for the plot for each one.) a (U,xx-3 = 0 u (0) = 1 (u(1) = 0 b. (u,xx - x = 0 u(0) = 1 (ux (1) = 1 c. (U,xx - 3x = 0 u,x () = 2 ( u(1) = 0

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