Open AccessМетод параметризации Джумабаева решения начально-краевых задач для дифференциальных уравнений в частных производных высокого порядка
Author(s) -
A.E.A.A.D. Imanchiyev,
B.B. Minglibayeva,
K. Zhubanov
Publication year - 2022
Publication title -
international journal of information and communication technologies
Language(s) - English
Resource type - Journals
eISSN - 2708-2040
pISSN - 2708-2032
DOI - 10.54309/ijict.2020.2.2.008
Subject(s) - mathematics , boundary value problem , numerical partial differential equations , hyperbolic partial differential equation , partial differential equation , mathematical analysis , separable partial differential equation , ordinary differential equation , differential equation , stochastic partial differential equation , method of characteristics , exponential integrator , first order partial differential equation , differential algebraic equation
Weconsideran application ofthe Dzhumabaev parameterization method for solving initial-boundary value problems for higher order partial differential equations with two variables. These problems are reduced to nonlocal problems for system of hyperbolic equations of second order with mixed derivatives, or to the family of boundary value problems for hybrid systems consisting of first order partial differential equations, or systems of ordinary differential equations with a parameter and functional relations. A family of multipoint boundary value problems for higher order differential equations is solved by the Dzhumabaev parameterization method. The methods and results are developed to nonlocal problems for higher order par-tial differential equations with loading and delay arguments, nonlocal problems with integral conditionsand impulse effects for higher order partial differential equations.