Develop the weak form and the finite element model of the following differential equation over an...

 

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Develop the weak form and the finite element model of the following differential equation over an element: d du -ª (aª)- + dx dx d² d²u dx² dx² + cuf for x < X<Xb where a, b, c, and f are known functions of position x. Ensure that the element coefficient matrix Ke is symmetric. Discuss the nature (i.e., Lagrange type or Hermite type) of the admissible approximation functions for the development of the finite element model. Develop the weak form and the finite element model of the following differential equation over an element: d du -ª (aª)- + dx dx d² d²u dx² dx² + cuf for x < X<Xb where a, b, c, and f are known functions of position x. Ensure that the element coefficient matrix Ke is symmetric. Discuss the nature (i.e., Lagrange type or Hermite type) of the admissible approximation functions for the development of the finite element model.

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Solution Given differential equation 7 ady ban f for OSASL dx dn Here aib f are known functio... View the full answer