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Numerical methods and programming, 2004, Volume 5, Issue 1, Pages 268–280 (Mi vmp686)  
Approximate solution of the generalized mixed boundary value problem for parabolic- and hyperbolic-type equations

I. V. Kolosa, M. V. Kolosb

a University of Russian Education Academy, Moscow
b Lomonosov Moscow State University, Research Computing Center
Full-text PDF (184 kB)
Abstract: Some a priori inequalities with negative norm are obtained for differential parabolic- and hyperbolic-type equations with third-kind boundary conditions in the case when the right-hand sides belong to the space of generalized functions. The existence and uniqueness of the generalized solution as well as the convergence of the approximate method proposed are proved. The work was supported by the Russian Foundation for Basic Research (04-01-00026).
Keywords: mixed boundary value problem, negative norms, parabolic- and hyperbolic-type equations, generalized functions, numerical methods.
UDC: 519.6
Language: Russian
Citation: I. V. Kolos, M. V. Kolos, “Approximate solution of the generalized mixed boundary value problem for parabolic- and hyperbolic-type equations”, Num. Meth. Prog., 5:1 (2004), 268–280
Citation in format AMSBIB
\Bibitem{KolKol04}
\by I.~V.~Kolos, M.~V.~Kolos
\paper Approximate solution of the generalized mixed boundary value problem
for parabolic- and hyperbolic-type equations
\jour Num. Meth. Prog.
\yr 2004
\vol 5
\issue 1
\pages 268--280
\mathnet{http://mi.mathnet.ru/vmp686}
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