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Stable iterative hybrid method for the solution of weak nonlinear parabolic differential equations

✍ Scribed by W. Neundorf; Re. Schoenefeld


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
452 KB
Volume
22
Category
Article
ISSN
0378-4754

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✦ Synopsis


In the hybrid computer solution of a parabolic differential equation the equation may be approximated by a set of coupled ordinary differential equations, one equation for each spatial station. The set is integrated by the analog computer one equation (or one group of equations) at a time in a serial fashion using a relaxation technique and employing the digital computer for function storage and playback. By using the iterative time-sharing computation of this class of equations the authors have received new general results.


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## Abstract This paper deals with the initial and boundary value problem for a singular nonlinear parabolic equation. The existence of solutions is established by parabolic regularization. Some properties of solutions, for instance localization and large time behaviour are also discussed. Copyright