Results 21 to 30 of about 7,017 (197)

Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel

Computational and Mathematical Methods
This work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV-FIE) and the necessary conditions for a unique solution.
Sameeha Ali Raad, Ahlam Yahya Alabdali
doaj   +2 more sources

Numerical solutions for nonlinear Volterra-Fredholm integral equations of the second kind with a phase lag

AIMS Mathematics, 2021
: This study is focused on the numerical solutions of the nonlinear Volterra-Fredholm integral equations (NV-FIEs) of the second kind, which have several applications in physical mathematics and contact problems.
G. Mosa, M. Abdou, A. Rahby
semanticscholar   +1 more source

Newton-Krylov generalized minimal residual algorithm in solving nonlinear Volterra-Fredholm-Hammerstein integral equations [PDF]

Mathematics and Computational Sciences, 2021
In this paper, Galerkin and collocation methods based on shifted Legendre polynomials and spectral methods have been applied on nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations, these methods transfer the finding solution of a nonlinear ...
Ahmad Zavvartorbati
doaj   +1 more source

Al'brekht's Method in Infinite Dimensions [PDF]

, 2020
In 1961 E. G. Albrekht presented a method for the optimal stabilization of smooth, nonlinear, finite dimensional, continuous time control systems.
Krener, AJ
core   +3 more sources

Homotopy Analysis Method to Solve Two-Dimensional Nonlinear Volterra-Fredholm Fuzzy Integral Equations

Fractal and Fractional, 2020
The main goal of the paper is to present an approximate method for solving of a two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE). It is applied the homotopy analysis method (HAM).
Atanaska Georgieva, Snezhana Hristova
doaj   +1 more source

Existence of solutions of general nonlinear fuzzy Volterra‐Fredholm integral equations [PDF]

International Journal of Stochastic Analysis, 2005
We study the problem of existence and uniqueness of solutions of a class of nonlinear fuzzy Volterra‐Fredholm integral equations.
Balachandran, K., Kanagarajan, K.
openaire   +2 more sources

An Algorithm for the Closed-Form Solution of Certain Classes of Volterra–Fredholm Integral Equations of Convolution Type

Algorithms, 2022
In this paper, a direct operator method is presented for the exact closed-form solution of certain classes of linear and nonlinear integral Volterra–Fredholm equations of the second kind.
Efthimios Providas
doaj   +1 more source

An approximation method for the solution of nonlinear integral equations [PDF]

, 2006
A Chebyshev collocation method has been presented to solve nonlinear integral equations in terms of Chebyshev polynomials. This method transforms the integral equation to a matrix equation which corresponds to a system of nonlinear algebraic equations ...
Akyuz-Dascioglu, A, Yaslan, HC
core   +3 more sources

An approach of extrapolation methods for the solution of nonlinear Volterra–Fredholm integral equations of the second kind [PDF]

Iranian Journal of Numerical Analysis and Optimization
This study presents the process of using extrapolation methods to solve the nonlinear Volterra–Fredholm integral equations of the second kind. To do this, by approximating the integral terms contained in equations by a quadrature rule, the nonlinear ...
H. Safdari, M. Moradkhani, M.T. Dastjerdi   +2 more
doaj   +1 more source

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

Vestnik 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