Galerkin Approximations for the Solution of Fredholm Volterra Integral Equation of Second Kind
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
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Computation of semi-analytical solutions of fuzzy nonlinear integral equations
In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah +3 more
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Adomian Method for Solving Fuzzy Fredholm-Volterra Integral Equations
Summary: In this paper, Adomian method has been applied to approximate the solution of fuzzy Volterra-Fredholm integral equation. That, by using parametric form of fuzzy numbers, a fuzzy Volterra-Fredholm integral equation has been converted to a system of Volterra-Fredholm integral equation in crisp case.
Barkhordari Ahmadi, M. +2 more
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Fredholm Property of Nonlocal Problems for Integro-Differential Hyperbolic Systems [PDF]
The paper concerns nonlocal time-periodic boundary value problems for first-order Volterra integro-differential hyperbolic systems with boundary inputs. The systems are subjected to integral boundary conditions.
Klyuchnyk, R., Kmit, I.
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Polynomial collocation method for initial value problem of mixed integro-differential equations [PDF]
This paper presents the development and implementation of a numerical method forthe solution of one dimensional Mixed Fredholm Volterra Intergro-Differential Equations(MFVIDEs). The new technique transformed MFVIDEs into an integral equation whichis then
Johnson Adekunle Osilagun +3 more
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A Study of Some Iterative Methods for Solving Fuzzy Volterra-Fredholm Integral Equations [PDF]
This paper mainly focuses on the recent advances in the some approximated methods for solving fuzzy Volterra-Fredholm integral equations, namely, Adomian decomposition method, variational iteration method and homotopy analysis method.
Azeez, Ali Dhurgham +2 more
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Conditioning bounds for traveltime tomography in layered media [PDF]
This paper revisits the problem of recovering a smooth, isotropic, layered wave speed profile from surface traveltime information. While it is classic knowledge that the diving (refracted) rays classically determine the wave speed in a weakly well-posed ...
Abramowitz M +18 more
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In this paper, we construct a new hybrid iteration, called SR-iteration, and prove its stability and convergence analysis for weak contraction mappings in a Banach space.
Raweerote Suparatulatorn, Suthep Suantai
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Effective approximation method for solving linear Fredholm-Volterra integral equations
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Eshkuvatov, Z. K. +3 more
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Numerical Solution of Two-Dimensional Fredholm–Volterra Integral Equations of the Second Kind [PDF]
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.
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