Results 1 to 10 of about 4,045 (119)

On the iterative method for solution of direct and inverse problems for parabolic equations [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023
The paper is devoted to approximate methods for solution of direct and inverse problems for parabolic equations. An approximate method for the solution of the initial problem for multidimensional nonlinear parabolic equation is proposed.
Boykov, Il'ya V.   +1 more
doaj   +1 more source

On the numerical solution of some differential equations with nonlocal integral boundary conditions via Haar wavelet [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2022
Differential equations with nonlocal boundary conditions are used to model a number of physical phenomena encountered in situations where data on the boundary cannot be measured directly. This study explores numerical solutions to elliptic, parabolic and
Imran Aziz   +2 more
doaj   +1 more source

Existence and stability of traveling waves in parabolic systems of differential equations with weak diffusion

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
The aim of the present paper is to investigate of some properties of periodic solutions of a nonlinear autonomous parabolic systems with a periodic condition.
I.I. Klevchuk
doaj   +1 more source

Initial-boundary value problem for higher-orders nonlinear elliptic-parabolic equations with variable exponents of the nonlinearity in unbounded domains without conditions at infinity

open access: yesМатематичні Студії, 2023
Initial-boundary value problems for parabolic and elliptic-parabolic (that is degenerated parabolic) equations in unbounded domains with respect to the spatial variables were studied by many authors.
M. M. Bokalo, O. V. Domanska
doaj   +1 more source

Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations

open access: yesBoundary Value Problems, 2009
We generalize the comparison result 2007 on Hamilton-Jacobi equations to nonlinear parabolic equations, then by using Perron's method to study the existence and uniqueness of time almost periodic viscosity solutions of nonlinear parabolic equations ...
Shilin Zhang, Daxiong Piao
doaj   +2 more sources

Nonlinear differential-difference equations of elliptic and parabolic type and their applications to nonlocal problems

open access: yesСовременная математика: Фундаментальные направления, 2023
In this survey, we study boundary-value problems for nonlinear differential-difference equations of elliptic and parabolic types, as well as related nonlinear equations with nonlocal boundary conditions.
O. V. Solonukha
doaj   +1 more source

ON APPLYING THE CONTINUOUS OPERATOR METHOD TO SOLVE THE DIRECT PROBLEM FOR NONLINEAR PARABOLIC EQUATIONS

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. Parabolic differential equations of mathematical physics play very important role in mathematical modeling of the wide range of phenomena in physical and technical sciences.
I. V. Boykov, V. A. Ryazantsev
doaj   +1 more source

Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations

open access: yesJournal of Taibah University for Science, 2020
In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method ...
Hijaz Ahmad   +3 more
doaj   +1 more source

Observer Design for Lipschitz Nonlinear Parabolic PDE Systems With Unknown Input

open access: yesIEEE Access, 2020
In this article, a novel method to design the observer for a class of uncertain Lipschitz nonlinear parabolic partial differential equations (PDE) systems is investigated.
Teng-Fei Li
doaj   +1 more source

The Classical Continuous Optimal Control for Quaternary Nonlinear Parabolic Boundary Value Problems with State Vector Constraints

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2022
This paper aims to study the quaternary classical continuous optimal control problem consisting of the quaternary nonlinear parabolic boundary value problem, the cost function, and the equality and inequality constraints on the state and the control ...
jamil Amir Al-Hawasy   +1 more
doaj   +1 more source

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