Boundary equations in the finite transfer method for solving differential equation systems |
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Institution: | Department of Projects Engineering, Public University of Navarre, Pamplona, Navarre, Spain |
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Abstract: | The finite transfer method is going to be used to solve a p system of linear ordinary differential equations. The complete problem is extended by adding the p boundary equations involved. It is chosen a fourth order scheme to obtain finite transfer expressions. A recurrence strategy is used in these equations and permits one to relate different points in the domain where boundary equations are defined. Finally a 2p algebraic system of equations is noted and solved. To show the efficiency and accuracy, the method is applied to determine the structural behavior of a bending beam with different supports and to solve a differential equation of second degree with different boundary conditions. |
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Keywords: | Finite transfer method Boundary equations Beam Transfer matrix |
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