On the Numerical Solution of a Semilinear Sobolev Equation Subject to Nonlocal Dirichlet Boundary Condition

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dc.contributor.authorChattouh Abdeldjalil
dc.contributor.authorSaoudi Khaled
dc.date.accessioned2024-02-15T11:11:47Z
dc.date.available2024-02-15T11:11:47Z
dc.date.issued2020
dc.description.abstractA semilinear Sobolev equation ∂t(u − ∆u) − ∆u = f(∇u) with a Dirichlet-type integral boundary condition is investigated in this contribution. Using the Rothe method which is based on a semi-discretization of the problem under consideration with respect to the time variable, we prove the existence and uniqueness of a weak solution. Moreover, a suitable approach for the numerical solution based on Legendre spectral-method is presented.
dc.identifier.urihttp://dspace.univ-khenchela.dz:4000/handle/123456789/1183
dc.language.isoen
dc.titleOn the Numerical Solution of a Semilinear Sobolev Equation Subject to Nonlocal Dirichlet Boundary Condition
dc.typeArticle
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