نتایج جستجو برای: fredholm integro differential equation

تعداد نتایج: 483332  

Journal: :Arab journal of basic and applied sciences 2021

The aim of this work is to discuss the solvability a boundary value problem for nonlinear integro-differential equation. First, we derive an equivalent Fredholm integral equation (NFIE) problem. Second, prove existence solution NFIE using Krasnosel’skii fixed point theorem under verifying some sufficient conditions. Third, solve numerically and study convergence rate via methods based upon appl...

Journal: :Axioms 2022

The Sumudu decomposition method was used and developed in this paper to find approximate solutions for a general form of fractional integro-differential equation Volterra Fredholm types. Caputo definition deal with derivatives. As the under consideration depends mainly on writing non-linear terms, which are often found inside kernel integral equation, it Adomian’s polynomials well-known way. Af...

2008
D. BAHUGUNA

In this work we consider a partial integro-differential equation. We reformulate it a functional integro-differential equation in a suitable Hilbert space. We apply the method of lines to establish the existence and uniqueness of a strong solution.

The purpose of this study is to present an approximate numerical method for solving high order linear Fredholm-Volterra integro-differential equations in terms of rational Chebyshev functions under the mixed conditions. The method is based on the approximation by the truncated rational Chebyshev series. Finally, the effectiveness of the method is illustrated in several numerical examples. The p...

2016
Samia Bushnaq Banan Maayah Morad Ahmad

This paper presents a computational technique for solving linear and nonlinear Fredholm integro-differential equations of fractional order. In addition, examples that illustrate the pertinent features of this method are presented, and the results of the study are discussed. Results have revealed that the RKHSM yields efficiently a good approximation to the exact solution.

Journal: :Applied Mathematics and Computation 2008
Zdzislaw Jackiewicz M. Rahman Bruno D. Welfert

We propose several approaches to the numerical solution of a new Fredholm integro-differential equations modelling neural networks. A solution strategy based on expansions onto standard cardinal basis functions and collocation is presented. Comparative numerical experiments illustrate specific advantages and drawbacks of the different approaches and are used to motivate alternate strategies. 20...

Journal: :iranian journal of fuzzy systems 2013
masoumeh zeinali sedaghat shahmorad kamal mirnia

this paper investigates existence and uniqueness results for the first order fuzzy integro-differential equations. then numerical results and error bound based on the left rectangular quadrature rule, trapezoidal rule and a hybrid of them are obtained. finally an example is given to illustrate the performance of the methods.

Journal: :computational methods for differential equations 0
naser aghazadeh azarbaijan shahid madani university yasser gholizade atani azarbaijan shahid madani university parisa noras azarbaijan shahid madani university

in this paper, we present legendre wavelet method to obtain numerical solution of a singular integro-differential equation. the singularity is assumed to be of the cauchy type. the numerical results obtained by the present method compare favorably with those obtained by various galerkin methods earlier in the literature.

Journal: :Communications in Mathematics and Applications 2023

An attempt is made to develop approximate method get solution of system linear Fredholm fractional integro-differential equations using Least squares and Lauguerre polynomial method. The reduced a polynomials. implemented obtain the equations. solutions are simulated Scilab.

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