Degenerate method in mixed nonlinear three dimensions integral equation
In this paper, a mixed nonlinear integral equation (MNIE) of The second kind of position and time is introduced. The existence Of at least one solution of this equation is discussed.
M. Basseem
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Some Numerical Techniques For Solving Nonlinear Fredholm-Volterra Integral Equation [PDF]
in this paper, the existence and uniqueness of the solution of nonlinear Fredholm-Volterra integral equations is consider (NF-VIE) with continuous kernel, then we use a numerical method to reduce this type of equation to a system of Fredholm integral ...
AL-Bugami, Abeer, Al-Juaid, J. G.
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Quadrature solution of singular integral equations—I A uniform treatment of fredholm and Volterra equations [PDF]
Following the (Bellman-type) differential quadrature method presented by Ȯlaȯfė and Mason [1] for the solution of ordinary and partial differential equations, Ȯlaȯfė [2] presented a new integral quadrature method for the solution of integral ...
Odotlaȯfė, G.O.
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Generalized Nonlinear Volterra-Fredholm Type Integral Inequality with Two Variables
We establish a class of new nonlinear retarded Volterra-Fredholm type integral inequalities, with two variables, where known function w in integral functions in Q.-H. Ma and J. Pečarić, 2008 is changed into the functions w1,w2. By adopting novel analysis
Yusong Lu +3 more
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Volterra integral and differential equations /
Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork ...
Burton, T. A.(Theodore Allen),
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A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations
Summary: An iterative scheme for extracting approximate solutions of two dimensional Volterra-Fredholm integral equations is proposed. Considering some conditions on the kernel of the integral equation obtained by discretization of the integral equation, the convergence of the approximate solution to the exact solution is investigated. Several examples
H. Borzabadi, A., Heidari, M.
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On Volterra and Fredholm Type Integrodierential Equations
[[abstract]]This paper deals with the existence, uniqueness and other properties of the solutions of certain Volterra and Fredholm type integrodierential equations.
B. G Pachpatte
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Spectral technique with convergence analysis for solving one and two-dimensional mixed Volterra-Fredholm integral equation. [PDF]
Amin AZ +4 more
europepmc +1 more source
An Appropriate Numerical Method for Solving Nonlinear Volterra-Fredholm Integral Equations
This paper is concerned with the numerical solution of the mixed Volterra-Fredholm integral equations by using a version of the block by block method. This method efficient for linear and nonlinear equations and it avoids the need for spacial starting values.
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Alternative Legendre polynomials (ALPs) are used for approximating the solution of nonlinear Volterra-Fredholm integral equations (VFIEs) of the rst kind. The problem is rst transformed into a second kind VFIE and then, using the ALP operational matrices
Sohrab Bazm, Alireza Hosseini
doaj

