Geodesic
Application of loaded equations to approximate solutions of partial differential equations with the power nonlinearity
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2015), pp. 127-136

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Reduction of nonlinear partial differential equations to a loaded equation is made for finding their approximate solutions. We obtain formulas for the general term of the sequence of approximate solutions of the initial-boundary value problems for some loaded equations, for which the original nonlinear equations are reduced.
Keywords: loaded partial differential equations, differential equations with power nonlinearity, approximate solutions. 
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     author = {O. L. Boziev},
     title = {Application of loaded equations to approximate solutions of partial differential equations with the power nonlinearity},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {127--136},
     publisher = {mathdoc},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2015_1_a7/}
}
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O. L. Boziev. Application of loaded equations to approximate solutions of partial differential equations with the power nonlinearity. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2015), pp. 127-136. http://geodesic.mathdoc.fr/item/VTPMK_2015_1_a7/