1. Solve the boundary value problem y +2=0 with boundary conditions y(0) = 0 and y'(1.5)...

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1. Solve the boundary value problem y" +2=0 with boundary conditions y(0) = 0 and y'(1.5) 1 by hand using Galerkin finite elements method and isoparametric shape functions Use three elements of equal length h, = 0.5 each. You can use Matlab or any other software to evaluate the integrals and solve the resulting system of equations. 2. Solve the same boundary value problem by hand using the Finite Differences method. Use three segments of equal length h, = 0.5 each. Compare the results. (Hint: Variable z can be expressed in the isoparametric coordinate system as x = N₁ (t)x₁+ NR(t)+1, where r, and +1 are the coordinates of the nodes of element #i). 1. Solve the boundary value problem y" +2=0 with boundary conditions y(0) = 0 and y'(1.5) 1 by hand using Galerkin finite elements method and isoparametric shape functions Use three elements of equal length h, = 0.5 each. You can use Matlab or any other software to evaluate the integrals and solve the resulting system of equations. 2. Solve the same boundary value problem by hand using the Finite Differences method. Use three segments of equal length h, = 0.5 each. Compare the results. (Hint: Variable z can be expressed in the isoparametric coordinate system as x = N₁ (t)x₁+ NR(t)+1, where r, and +1 are the coordinates of the nodes of element #i).

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To solve the boundary value problem y z 0 using the Galerkin finite element method with three elemen... View the full answer