Abstract
So far we have only considered scalar boundary value problems, that is, a single differential equation that contains one unknown function u(x). We now generalise the finite element method so that it may be applied to coupled systems of differential equations. We illustrate the basic principles using a simple example, before explaining how these ideas may be generalised for application to more complex systems.
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Whiteley, J. (2017). Systems of Ordinary Differential Equations. In: Finite Element Methods. Mathematical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-49971-0_6
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DOI: https://doi.org/10.1007/978-3-319-49971-0_6
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-49970-3
Online ISBN: 978-3-319-49971-0
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