Abstract
In the previous chapter, some of the mathematical preliminaries were discussed. The principal physical equations which we will consider are those for heat flow, the wave equation and the potential equation of Laplace and are derived in the companion volume, Numerical methods for partial differential equations. These equations are very typical of second-order linear equations. It was shown in the previous chapter, ยง1.2 that there are just three canonical forms for the general second-order quasilinear equation of which the three physical problems are linear examples. Hence, in order to introduce methods of solution, these three equations will be considered in their own light and various methods will be studied.
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ยฉ 1999 Springer-Verlag London
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Evans, G.A., Blackledge, J.M., Yardley, P.D. (1999). Separation of the Variables. In: Analytic Methods for Partial Differential Equations. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-0379-0_2
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DOI: https://doi.org/10.1007/978-1-4471-0379-0_2
Publisher Name: Springer, London
Print ISBN: 978-3-540-76124-2
Online ISBN: 978-1-4471-0379-0
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