Advances in Difference Equations, 2017 In this work, we establish new fixed point theorems for w-generalized weak contraction mappings with respect to w-distances in complete metric spaces by using the concept of an altering distance function. As an application, we use the obtained results to
Teerawat Wongyat, Wutiphol Sintunavarat
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Theoretical and numerical results about some weakly singular Volterra-Fredholm equations
Journal of Numerical Analysis and Approximation Theory, 2008 In this paper existence, uniqueness results for the solution of some weakly singular linear Volterra and Volterra-Fredholm integral equations are given.
F. Calió, E. Marchetti, V. Mureșan
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Beni-Suef University Journal of Basic and Applied Sciences, 2014 In this paper, we present a numerical method for solving two-dimensional Fredholm–Volterra integral equations (F-VIE). The method reduces the solution of these integral equations to the solution of a linear system of algebraic equations.
Farshid Mirzaee, Seyede Fatemeh Hoseini
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Taylor collocation method and convergence analysis for the Volterra–Fredholm integral equations
Journal of Computational and Applied Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keyan Wang, Qisheng Wang
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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 ...
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Block‐by‐Block Method for Solving Nonlinear Volterra‐Fredholm Integral Equation [PDF]
Mathematical Problems in Engineering, 2010 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. Existence and uniqueness of the solution to this equation, under certain conditions, are discussed.
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Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
BMC Res Notes, 2023 Badeye SR, Woldaregay MM, Dinka TG.
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Haar wavelets method for solving class of coupled systems of linear fractional Fredholm integro-differential equations. [PDF]
Heliyon, 2023 Darweesh A, Al-Khaled K, Al-Yaqeen OA.
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Fredholm boundary-value problem for the system of fractional differential equations. [PDF]
Nonlinear Dyn, 2023 Boichuk O, Feruk V.
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A NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS
Journal of Applied Analysis & Computation, 2013 In this paper, a numerical procedure for solving a class ofnonlinear Volterra-Fredholm integral equations is presented. Themethod is based upon the globally defined sinc basis functions.Properties of the sinc procedure are utilized to reduce thecomputation of the nonlinear integral equations to some algebraicequations.
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