Results 51 to 60 of about 3,197,328 (188)

Independence Polynomial‐Based Approach for Fredholm–Volterra Integro‐Differential Problems of High Order

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A numerical collocation approach employing independence polynomials of paths is formulated to approximate the solutions of high‐order linear Fredholm–Volterra integro‐differential problems under mixed conditions. The proposed approach transforms the given equation and conditions into a matrix form, leading to a linear system whose unknowns are the ...
Fatma Kaci, Kang-Jia Wang
wiley   +1 more source

A Simple Approach to Volterra-Fredholm Integral Equations [PDF]

Journal of Applied and Computational Mechanics, 2020
This paper suggests a simple analytical method for Volterra-Fredholm integral equations, the solution process is similar to that by variational-based analytical method, e.g., Ritz method, however, the method requires no establishment of the variational ...
Ji-Huan He
doaj   +1 more source

Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions

Journal of Applied Mathematics, 2014
We solve some different type of Urysohn integral equations by using the radial basis functions. These types include the linear and nonlinear Fredholm, Volterra, and mixed Volterra-Fredholm integral equations.
Zakieh Avazzadeh, Mohammad Heydari, Wen Chen, G. B. Loghmani   +3 more
doaj   +1 more source

Block-by-Block Method for Solving Nonlinear Volterra-Fredholm Integral Equation [PDF]

, 2020
We consider a nonlinear Volterra-Fredholm integral equation NVFIE of the second kind. The Volterra kernel is time dependent, and the Fredholm kernel is position dependent.
Abdallah A Badr
core  

Posteriori error estimates for the nonlinear Volterra-Fredholm integral equations

Computers & Mathematics with Applications, 2003
The central object of study in the paper under review is the general nonlinear Volterra-Fredholm integral equation and its numerical treatment. \textit{S. Kumar} and \textit{I. H. Sloan} [Math. Comp. 48, 585--593 (1987; Zbl 0616.65142)] introduced an approach to convert the conventional Hammerstein integral equation into a conductive form for ...
openaire   +1 more source

A Novel Numerical Scheme and Analysis of a Nonlinear Nonlocal Equation Modeling Neurodynamics

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
Integral operators have been widely employed in biological, medical, and physical models. In this work, we investigate a nonlinear integrodifferential equation involving a convolutional nonlinearity, which represents an important class of models for describing neurodynamical processes.
Samima Akhter, Samir Kumar Bhowmik, Patricia J. Y. Wong   +2 more
wiley   +1 more source

An Implicit Fractional Model With Finite Delay and Impulses: Analysis and Computation

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper establishes the existence and uniqueness of solutions for a class of implicit fractional Volterra–Fredholm integrodifferential equations with finite delay and instantaneous impulses. By employing the Banach contraction principle and Schaefer’s fixed‐point theorem, we provide a rigorous analytical foundation for our results.
Abdulrahman A. Sharif, Maha Hamood, Kirtiwant P. Ghadle, Patricia J. Y. Wong   +3 more
wiley   +1 more source

A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations [PDF]

Abstract and Applied Analysis, 2014
A new approach, Coiflet-type wavelet Galerkin method, is proposed for numerically solving the Volterra-Fredholm integral equations. Based on the Coiflet-type wavelet approximation scheme, arbitrary nonlinear term of the unknown function in an equation can be explicitly expressed.
openaire   +4 more sources

Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations

Journal of Inequalities and Applications, 2009
We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations.
László Horváth
doaj   +2 more sources

A Novel Numerical Method for Solving Fractional Diffusion-Wave and Nonlinear Fredholm and Volterra Integral Equations with Zero Absolute Error

Axioms, 2021
In this work, a new numerical method for the fractional diffusion-wave equation and nonlinear Fredholm and Volterra integro-differential equations is proposed.
Mutaz Mohammad, Alexandre Trounev, Mohammed Alshbool   +2 more
doaj   +1 more source