Existence results and iterative method for solving a fourth order nonlinear integro-differential equation

12/21/2020
by   Dang Quang A, et al.
0

In this paper we consider a class of fourth order nonlinear integro-differential equations with Navier boundary conditions. By the reduction of the problem to operator equation we establish the existence and uniqueness of solution and construct a numerical method for solving it. We prove that the method is of second order accuracy and obtain an estimate for total error. Some examples demonstrate the validity of the obtained theoretical results and the efficiency of the numerical method.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

01/23/2021

A unified approach to study the existence and numerical solution of functional differential equation

In this paper we consider a class of boundary value problems for third o...
10/13/2021

Variational and numerical analysis of a 𝐐-tensor model for smectic-A liquid crystals

We analyse an energy minimisation problem recently proposed for modellin...
06/07/2015

Well-posedness of a nonlinear integro-differential problem and its rearranged formulation

We study the existence and uniqueness of solutions of a nonlinear integr...
04/29/2021

Numerical analysis of a self-similar turbulent flow in Bose–Einstein condensates

We study a self-similar solution of the kinetic equation describing weak...
07/03/2014

Solving QVIs for Image Restoration with Adaptive Constraint Sets

We consider a class of quasi-variational inequalities (QVIs) for adaptiv...
11/24/2021

Numerical solution of a nonlinear functional integro-differential equation

In this paper, we consider a boundary value problem (BVP) for a fourth o...
06/23/2020

A matrix-oriented POD-DEIM algorithm applied to nonlinear differential matrix equations

We are interested in approximating the numerical solution U(t) of the la...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.