Results 31 to 40 of about 3,197,328 (188)

Polynomial Least Squares Method for the Solution of Nonlinear Volterra‐Fredholm Integral Equations [PDF]

open access: yesMathematical Problems in Engineering, 2014
The present paper presents the application of the polynomial least squares method to nonlinear integral equations of the mixed Volterra‐Fredholm type. For this type of equations, accurate approximate polynomial solutions are obtained in a straightforward manner and numerical examples are given to illustrate the validity and the applicability of the ...
Bogdan Căruntu, Constantin Bota
openaire   +1 more source

Inverse problem for a Fredholm third order partial integro-differential equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
doaj   +1 more source

Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]

open access: yes, 2013
We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
core   +4 more sources

New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications

open access: yesAbstract and Applied Analysis, 2014
Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations.
Kelong Cheng, Chunxiang Guo
doaj   +1 more source

On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations

open access: yesMathematics, 2022
An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
doaj   +1 more source

Collocation Method for Nonlinear Volterra-Fredholm Integral Equations

open access: yesOpen Journal of Applied Sciences, 2012
A fully discrete version of a piecewise polynomial collocation method based on new collocation points, is constructed to solve nonlinear Volterra-Fredholm integral equations. In this paper, we obtain existence and uniqueness results and analyze the convergence properties of the collocation method when used to approximate smooth solutions of Volterra ...
Jafar Ahmadi Shali   +2 more
openaire   +2 more sources

Solving Nonlinear Volterra-Fredholm Integral Equations using an Accurate Spectral Collocation Method [PDF]

open access: yesTatra Mountains Mathematical Publications, 2021
Abstract In this paper, we present a Jacobi spectral collocation method to solve nonlinear Volterra-Fredholm integral equations with smooth kernels. The main idea in this approach is to convert the original problem into an equivalent one through appropriate variable transformations so that the resulting equation ...
Hamani, Fatima, Rahmoune, Azedine
openaire   +1 more source

Solvability of integral equations through fixed point theorems: a survey [PDF]

open access: yesSurveys in Mathematics and its Applications, 2022
This paper surveys regarding solutions of linear and nonlinear integral equations through fixed point theorem. Banach's contraction mapping principle is the most widely applied fixed point theorem in all of analysis with special applications to the ...
Usha Bag , Reena Jain
doaj  

Numerical solution of the nonlinear Fredholm-Volterra- Hammerstein integral equations via Bessel functions

open access: yes, 2020
In this paper, a collocation method based on the Bessel polynomials is used for the solution of nonlinear Fredholm-Volterra-Hammerstein integral equations (FVHIEs).
Yadollah Ordokhani, Haniye Dehestani
core   +1 more source

New Algorithms for Numerical Assessment of Nonlinear Integro-Differential Equations of Second-Order using Haar Wavelets

open access: yesWalailak Journal of Science and Technology, 2014
This paper deals with the extended design for Fredholm and Volterra integral equations and design for Fredholm and Volterra integro-differential equations of first-order to second-order nonlinear Fredholm and second-order nonlinear Volterra integro ...
Imran AZIZ   +3 more
doaj   +1 more source

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