scientific article
zbMath1359.65304MaRDI QIDQ2966009
M. A. Bobodzhanova, Abdukhafiz Abdurasulovich Bobodzhanov, Valeriĭ Fedorovich Safonov
Publication date: 6 March 2017
Full work available at URL: http://www.math.spbu.ru/diffjournal/EN/numbers/2016.1/article.1.2.html
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algorithmsingular perturbationNewton's methodnonlinearboundary layerintegro-differential equationresonanceasymptotic convergencenon-resonanceinitialization problemdiagonal degeneration of the kernelSrubshchik-Yudovich form
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical methods for ill-posed problems for integral equations (65R30)
Cites Work
- Asymptotic analysis of singularly perturbed integro-differential equations with zero operator in the differential part
- Singularly perturbed nonlinear integrodifferential systems with fast varying kernels
- Regularized asymptotic solutions of singularly perturbed integral systems with a diagonal degeneration of the kernel
- Regularization method for nonlinear integro-differential systems of Fredholm type with rapidly varying kernels
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