Fredholm-Volterra Integral Equation
Fredholm Volterra integral equation with potential kernel
... the Fredholm integral term considered in the generalized potential form belongs to the class C([Ω]× [Ω]), while the kernel of Volterra integral term is a positive and continuous function that ...
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Numerical Solution of Freholm Volterra Integral Equations by Using Scaling Function Interpolation Method
... solve Volterra in- tegral equations of the first kind, and Fredholm-Volterra integral ...of Volterra integral equations and Freholm-Volterra integral ...solving ...
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Homotopy approximation technique for solving nonlinear Volterra-Fredholm integral equations of the first kind
... Table 4.1. Numerical results for the Example. Table 4.1 shows that, the approximate solution of the nonlinear Fredholm-Volterra integral equation of the first kind is convergent with 6 ...
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Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials
... is Fredholm integral term and second integral in ...is Volterra integral ...nonlinear Fredholm-Volterra integral ...nonlinear Fredholm-Volterra ...
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A computational method for nonlinear mixed Volterra-Fredholm integral equations
... nonlinear Volterra-Fredholm integral equation by collocation methods, SIAM ...discretized Volterra-Fredholm integral equations, ...
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Reducing Initial Value Problem and Boundary Value Problem to Volterra and Fredholm Integral Equation and Solution of Initial Value Problem Habeeb Khudhur Kadhim
... handle Fredholm integral ...converting Fredholm equation to an equivalent boundary value problem are among many traditional methods that were commonly ...the Fredholm integral ...
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A Successive Numerical Scheme for Some Classes of Volterra-Fredholm Integral Equations
... Volterra-Fredholm integral equations are usually difficult to solve analyti- cally and so the numerical approaches are created to overcome the complex- ities of analytical ...of Volterra- ...
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Collocation Method for Nonlinear Volterra Fredholm Integral Equations
... We conclude this section with a comment regarding the extension of the results of Theorem 1 to the nonlinear Equation (1). Under the assumption of the existence of a (unique) solution y t on I, the nonlinear ...
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An approach based on statistical spline model for Volterra-Fredholm integral equations
... We turn now to the construction of the numerical algorithm for solving integral equation (1.1) numerically. Obviously the integral equation (1.2) could either be solved using the same method. ...
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Taylor-Series Expansion Methods for Multivariate Hammerstein Integral Equations
... an integral reformulation results in linear or nonlinear integral ...linear integral equations are Fredholm and Volterra ...nonlinear integral equation is that of ...
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The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w distances
... Theorem . Consider the nonlinear fractional differential equation (.). Suppose that there are two functions ψ , φ : [, ∞ ) → [, ∞ ) with ψ is an altering distance function and φ is a continuous function such ...
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NUMERICAL SOLUTION OF LINEAR FREDHOLM AND VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND BY USING LEGENDRE WAVELETS
... In this paper, we use the continuous Legendre wavelets on the interval [0,1] constructed by Razzaghi M. and Yousefi S. [6] to solve the linear second kind integral equations. We use quadrature formula for the ...
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Reduces Solution of Fredholm Integral Equation to a System of Linear Algebraic Equation
... of integral equations like iterated kernel, symmetric , different and Resolved kernel and to determine the Resolved kernel for Fredholm integral equation (FIE) and Volterra ...
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A class of retarded Volterra Fredholm type integral inequalities on time scales and their applications
... retarded Volterra-Fredholm type integral inequali- ties on time scales are ...retarded Volterra-Fredholm type dynamic integral equation on time ...
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Numerical Solution of Volterra-Fredholm Integral Equations with The Help of Inverse and Direct Discrete Fuzzy Transforms and Collocation Technique
... of Volterra- Fredholm integral equations by using expansion method based on the composition of the inverse and direct discrete fuzzy transforms (shortly F-transforms) in combination with the ...
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Solving Mixed Volterra - Fredholm Integral Equation (MVFIE) by Designing Neural Network
... In literatures, different numerical methods used to solve 2-dimensional (MVFIEs) have been reported. In (1) Babolian et al. applied block pulse function and their operational matrix to solve (MVFIEs) in 2-dimensional ...
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Numerical Implementation of Triangular Functions for Solving a Stochastic Nonlinear Volterra-Fredholm Integral Equation
... Abstract—This paper presents a numerical method for solv- ing the stochastic nonlinear volterra-fredholm integral equation (SNVFIE) driven by a standard Brownian motion (SBM). The method is ...
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Numerical solution of Hammerstein integral equation using Chebyshev wavelet method
... including integral, algebraic, differential, partial-differential, functional-delay and integro- differential ...solving Fredholm cum Volterra Hammerstein integral equations and provide ...
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An approximation method for the solving a class of nonlinear integral equations
... nonlinear integral equation of the first and second kind Fredholm–Volterra integral equations of the second kind by transformingour problems into a system of nonlinear algebraic ...
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Numerical Treatment of Nonlinear Volterra Fredholm Integral Equation with a Generalized Singular Kernel
... nonlinear Volterra- Fredholm integral equation (V-FIE) with singular kernel by utilizing the combined Laplace-Ado- mian decomposition method (LADM) was ...
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