Results 11 to 20 of about 308 (176)
Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces.
Godwin Amechi Okeke, Daniel Francis
doaj +1 more source
Numerical Solution of Two-Dimensional Fredholm–Volterra Integral Equations of the Second Kind [PDF]
Symmetry, 2021 The paper presents an iterative numerical method for approximating solutions of two-dimensional Fredholm–Volterra integral equations of the second kind. As these equations arise in many applications, there is a constant need for accurate, but fast and simple to use numerical approximations to their solutions.
openaire +1 more source
Galerkin Approximations for the Solution of Fredholm Volterra Integral Equation of Second Kind
GANIT: Journal of Bangladesh Mathematical Society, 2021 In this research, we have introduced Galerkin method for finding approximate solutions of Fredholm Volterra Integral Equation (FVIE) of 2nd kind, and this method shows the result in respect of the linear combinations of basis polynomials. Here, BF (product of Bernstein and Fibonacci polynomials), CH (product of Chebyshev and Hermite polynomials), CL ...
Asma Akter Akhia, Goutam Saha
openaire +2 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 OptimizationThis 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 +2 more
doaj +1 more source
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
Fredholm-Volterra Integral Equation in the Contact Problem [PDF]
Mathematical and Computational Applications, 2002 In this paper, under certain condition the Fredholm-Volterra integral equation of the first kind is solved. The existence. and uniqueness of the solution is considered. The Fredholm integral equation of the second kind is established from the work, and its solution is also obtained.
openaire +2 more sources
Abstract 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
Alexandria Engineering Journal, 2013 A numerical method based on an NM-set of general, hybrid of block-pulse function and Taylor series (HBT), is proposed to approximate the solution of nonlinear Volterra–Fredholm integral equations. The properties of HBT are first presented.
Farshid Mirzaee, Ali Akbar Hoseini
doaj +1 more source
Solving of Linear Volterra-Fredholm Integral Equations via Modification of Block Pulse Functions
Jurnal Matematika Integratif, 2021 A computational method based on modification of block pulse functions is proposed for solving numerically the linear Volterra-Fredholm integral equations. We obtain integration operational matrix of modification of block pulse functions on interval [0,T).
Ayyubi Ahmad
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