Volterra integral equations
Numerical Method for solving Volterra Integral Equations with a Convolution Kernel
... the Volterra integral ...of integral equation using the Chebyshev polynomials, while Yousefi[5] presented a numerical method for the Abel integral equation by Legendre ...stochastic ...
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Exact solutions of nonlinear interval Volterra integral equations
... interval Volterra integral equations are introduced, then the new method based on the modification of Laplace decomposi- tion method in two step is ...
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Bernoulli operational matrix method for system of linear Volterra integral equations
... The paper is organized as six sections includ- ing the introduction. In Section 1, we intro- duce Bernoulli polynomials and their properties. In Section 2, we would implement the hybrid of Block-Pulse functions and ...
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Numerical Solution of Volterra Integral Equations of Second Kind
... Abstract— In the present paper, we solve numerically Volterra integral equations of second kind with regular and singular kernels by given a numerical algorithm to solve the equation. Numerical ...
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Neumann method for solving conformable fractional Volterra integral equations
... differential equations (FDEs) and fractional integral equations ...fractional integral equations (see [2–6, 8–14, 26, ...of Volterra integral equations in the sense ...
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A solution for Volterra Integral Equations of the First Kind Based on Bernstein Polynomials
... In this paper, we present a new computational method to solve Volterra integral equations of the first kind based on Bernstein polynomials. In this method, using operational matrices turn the ...
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A finite difference method for the smooth solution of linear Volterra integral equations
... This paper is organized as follows: In section two, we briefly state some general results on the solvability and smoothness of the solution. In the third section, we fully describe our numerical scheme. In section four, ...
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A Solution of Second Kind Volterra Integral Equations Using Third Order Non-Polynomial Spline Function Sarah H. Harbi| Mohammed Ali Murad| Saba N. Majeed
... In this paper, non-polynomial spline function method for solving Volterra integral equations of the second kind is presented successfully. This idea based on the use of the VIE's and its derivatives. ...
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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
... Fredholm integral equations and Volterra integral equations together with nonlinear fractional differential equations of Caputo ...
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Modified Adomian Techniques Applied to Non Linear Volterra Integral Equations
... for integral equations such as implicitly linear collo- cation methods [1], product integration method [2], Her- mite-type collocation method [3] and analytical (semi- analytical) techniques such as Adomian ...
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On Solving a System of Volterra Integral Equations with Relaxed Monte Carlo Method
... In this paper, a relaxed Monte Carlo numerical method is provided to solve a system of linear Volterra integral equations. The most important advantage of this method is simplicity and easy-to-apply ...
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Approximate solution of the stochastic Volterra integral equations via expansion method
... ence and Technology where he has been a Profes- sor since 2002. During 19912000, he also served as Vice-chair for graduate students. He was a Visiting Professor at the University of California at Los Angeles in 1990. His ...
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Application of Triangular Functions to Numerical Solution of Stochastic Volterra Integral Equations
... This paper is organized as follows: In the next section we review one-dimensional triangular functions. Section 3, presents stochastic concept that is used in this paper. Section 4, introduces stochastic integration ...
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Spectral Methods for Volterra Integral Equations
... many Volterra integral equations are usually ...nonlinear Volterra integral equations was used by Brunner and Tang ...nonlinear Volterra integral equations ...
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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 ...
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Numerical solution of the system of Volterra integral equations of the first kind
... of Volterra integral equations of the first ...linear integral equations were considered, but examples were investigated for non-linear ...
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The Petrov-Galerkin Method for Numerical Solution of Stochastic Volterra Integral Equations
... We introduced the Petrov-Galerkin method for numerical solution of stochastic Volterra integral equations. The ad- vantages of this method is that it can be constructed simply, and by choosing the ...
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Cordial Volterra Integral Equations with Vanishing Delays*
... Cordial Volterra integral equations (CVIEs) from some applications models associated with a noncompact cordial Volterra integral operator are discussed in the recent ...cordial ...
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NUMERICAL SCHEMES FOR SOLVING VOLTERRA INTEGRAL EQUATIONS WITH CARLEMAN KERNEL
... nonlinear Volterra integral equation with weakly ...singular integral equations of the second ...perturbed Volterra integral equations, whereas Kilbas and Saigo [21] used ...
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A Efficient Computational Method for Solving Stochastic Itô-Volterra Integral Equations
... This paper is organized as follows: In section 2 some basic definition and preliminar- ies about stochastic process and Itˆ o integral are presented. The Legendre wavelets and their properties are discussed in ...
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