Open AccessOn some comparison of the multistep hybrid methods and their application solving of the Volterra integro-differential equations
Author(s) -
Galina Mehdiyeva,
Vagif Ibrahimov,
Mehri̇ban İmanova
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1334/1/012007
Subject(s) - ode , mathematics , volterra integral equation , initial value problem , differential equation , ordinary differential equation , value (mathematics) , differential (mechanical device) , volterra equations , mathematical analysis , nonlinear system , integral equation , physics , thermodynamics , statistics , quantum mechanics
As is known, there are some classes of numerical methods for solving of the initial-value problem for the Volterra integro-differential equations. Here, by comparison of the known methods have constructed the methods with the new properties which have applied to solve the initial-value problem for the ODE and for the Volterra integra-differential equations. By the construction of some relation between of these equations have established the direct connection among them which have called as the p -equivalents between the initial-value problem for ODE and for the Volterra integro-differential equations. Constructed here the stable methods with the high order of accuracy show some advantages of them. Some of them are applied to solving of the initial-value problem for the Volterra integro-differential equations. And also for the illustration of the received results here constructed have applied one of these methods to solve the model problem.