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JOURNALS // Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics] // Archive

Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017 Issue 2, Pages 49–58 (Mi vtpmk108)

Mathematical Modelling, Numerical Methods and Software Systems

An approximate solution of loaded hyperbolic equation with homogenios initial conditions

O. L. Boziev

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

Abstract: The article offers a method for solving a mixed problem with homogeneous initial conditions for a loaded hyperbolic equation with integral natural degree module of unknown function. An approximate solution is sought by means of a priori estimates of the solution of the problem. We obtained a formula expressing the solution through the solution of the ordinary differential equation associated with the source loaded equation.

Keywords: nonlinear partial differential equations, loaded partial differential equations, a priori estimates, approximate solutions.

UDC: 517.956.35

Received: 04.02.2017
Revised: 31.03.2017
Accepted: 07.06.2017

DOI: 10.26456/vtpmk108



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