Abstract
Partial differential equations (PDEs) are used throughout science and engineering and are especially prevalent in continuum mechanics. They can be classified in much the same way as ordinary differential equations, e.g., first-order or higher-order, linear or nonlinear, homogeneous or non-homogeneous. Certain properties of PDEs are important in determining the appropriate numerical analysis for these PDEs and, because of this, those properties will be briefly reviewed here.
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References
Lick, W., 1985, Improved Difference Equations for the Heat Equation, Int. J. for Numerical Methods in Engineering, Vol. 21, pp. 1457–1469.
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© 1989 Springer-Verlag Berlin, Heidelberg
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Lick, W.J. (1989). Parabolic Equations. In: Difference Equations from Differential Equations. Lecture Notes in Engineering, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83701-2_2
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DOI: https://doi.org/10.1007/978-3-642-83701-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50739-0
Online ISBN: 978-3-642-83701-2
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