Abstract
Explicit hermitian methods, which have smaller truncation errors and better stability properties than presently available explicit methods, are derived for the one-dimensional nonhomogeneous parabolic differential equation. As these hermitian methods are not defined for all internal points of the difference grid used, smoothing methods which enable their practical application are formulated. Numerical results for a linear and a nonlinear example are given.
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© 1979 Springer Basel AG
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Joubert, G. (1979). Explicit Hermitian Methods for the Numerical Solution of Parabolic Partial Differential Equations. In: Albrecht, J., Collatz, L., Kirchgässner, K. (eds) Constructive Methods for Nonlinear Boundary Value Problems and Nonlinear Oscillations. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Serie Internationale D’Analyse Numerique, vol 48. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6283-7_5
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DOI: https://doi.org/10.1007/978-3-0348-6283-7_5
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-1098-1
Online ISBN: 978-3-0348-6283-7
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