صندلی اداری

ROTHE'S METHOD FOR NONLINEAR PARABOLIC PROBLEMS WITH A NONLINEAR BOUNDARY CONDITION

M.S. El-Azab, A.A. Ashour

Abstract


In this paper we construct and analyze a variational algorithm forapproximating nonlinear parabolic partial differential equations with anonlinear boundary condition. The algorithm consists of approximating thesolution by a linear scheme based on Rothe's method to discrete with respectto time. The numerical solution converges strongly in the space $C((0,T)$; $%L_{2}(\Omega ))\cap L_{2}((0,T)$;$W^{1,\;2}(\Omega ))$. Moreover, the errorestimate of the solution is also derived.

Full Text: Postscript

Refbacks

  • There are currently no refbacks.
گن لاغری

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.