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Zbl 0695.65087
Slodička, Marián
Error estimate of approximate solution for a quasilinear parabolic integro-differential equation in the $L\sb p$-space. (English)
[J] Apl. Mat. 34, No.6, 439-448 (1989). ISSN 0373-6725

Rothe's method (semidiscretization in time) is combined with Galerkin techniques to obtain a fully discrete approximate solution for the initial-boundary-value problem of a quasilinear parabolic Volterra integro-differential equation in the space $L\sb p$ $(p>2)$. The techniques used to establish the corresponding results on the rate of convergence were developed by {\it V. Pluschke} [Czech. Math. J. 38(113), 642-654 (1988; Zbl 0671.35037)].
[H.Brunner]

MSC 2000:: *65R20 Integral equations (numerical methods)
45K05 Integro-partial differential equations

Keywords: error estimate; Rothe's method; semidiscretization in time; quasilinear parabolic Volterra integro-differential equation; rate of convergence

Citations: Zbl 0671.35037

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