O. L. Boziev, “Application of loaded equations to approximate solutions of partial differential equations with the power nonlinearity”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2015, Issue 1,Pages <nobr>127

This article is cited in 3 papers

Mathematical Modelling, Numerical Methods and Software Systems

Application of loaded equations to approximate solutions of partial differential equations with the power nonlinearity

O. L. Boziev

Institute of Computer Science and Problems of Regional Management of KBSC of the Russian Academy of Sciences, Nalchik

Abstract: 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.

UDC: 517.956.35

Received: 27.11.2014
Revised: 20.12.2014