Volterra Integral
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 of the second kind in ...
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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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The Adomian Decomposition Method of Volterra Integral Equation of Second Kind
... nonlinear Volterra integral equations of the second ...converting integral equation of the first kind to a linear equation of the second kind and the ordinary differential equation to integral ...
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Numerical solution of the system of Volterra integral equations of the first kind
... In this paper, the variational iteration method and its modification were successfully employed for solving systems of Volterra integral equations of the first kind. For convenient in explanation of the ...
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Numerical Solution of the Fredholme Volterra Integral Equation by the Sinc Function
... In this paper, we use the Sinc Function to solve the Fredholme-Volterra Integral Equations. By using collocation method we estimate a solution for Fredholme-Volterra Integral Equations. ...
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Neumann method for solving conformable fractional Volterra integral equations
... Under investigation in the present paper was been offered the solution of an im- portant class of Volterra integral equations in the sense of the conformable fractional derivative. For this purpose, the ...
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Exact solutions of nonlinear interval Volterra integral equations
... In this paper, we have applied the modification of Laplace decomposition method to solve nonlinear interval Volterra integral equations. To this end, by applying the Laplace transform on both sides of the ...
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NUMERICAL SCHEMES FOR SOLVING VOLTERRA INTEGRAL EQUATIONS WITH CARLEMAN KERNEL
... Abstract: Three numerical schemes, namely: Toeplitz Matrix meth-od, Prod- uct Nystrom method and Sinc-Collocation method have been proposed and implemented to give an approximate solution of the linear Volterra ...
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Numerical Solution of Volterra Integral Equations of Second Kind
... kind Volterra integral ...of Volterra Integral Equations of Second kind with the help of Trapezoidal method are used in the approximation, which are shown in the numerical ...other ...
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Modified Adomian Techniques Applied to Non Linear Volterra Integral Equations
... nonlinear Volterra integral equation of second kind with unknown function u x and F u is a non-linear function of u x , and we assumed that, the kernel k x t , and the function ...
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A solution for Volterra Integral Equations of the First Kind Based on Bernstein Polynomials
... To show the efficiency of the proposed numerical method, we implement it on some Volterra inte- gral equations. For every example we use a ta- ble that shows exact solution, our approximation and absolute errors ...
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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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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 degree of ...
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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 in ...
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Krasnosel’skii-type fixed point theorems with applications to Volterra integral equations
... others. More recently, a generalized version of Sadovskii’s fixed point theorem for se- quentially weakly continuous mappings has been proved in []. Based on the concept of power-convex condensing mapping, this new fixed ...
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Numerical procedures for Volterra integral equations
... Using product integration techniques, the midpoint, Euler and trapezoidal methods for Volterra integral equation s o f the first kind with continuous kernels and the schemes developed in[r] ...
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Cordial Volterra Integral Equations with Vanishing Delays*
... of Volterra integral equations with weakly singular kernels arisen in 1975 [1] from some heat condition problems with mixed-type boundary conditions is transformed by Watson transforms [2] and the ...
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Fredholm Volterra integral equation with potential kernel
... 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 belongs to ...
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Hyers-Ulam stability of Volterra integral equation
... for all x, y ∈ G, then a homomorphism h : G → G 0 exists with ρ(f (x), h(x)) < for all x ∈ G? The problem for the case of the approximately additive mappings was solved by Hyers [4], when G and G 0 are Banach space. ...
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Convergence of approximate solution of delay Volterra integral equations
... Sinc methods for approximating the solutions of Volterra integral equa- tions have received considerable attention mainly due to their high accuracy. These approximations converge rapidly to the exact ...
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