Nonlinear Volterra Integral Equations
Sinc Nyström method for a class of nonlinear Volterra integral equations of the first kind
... In this paper, the basic ideas are organized as follows. In Section , we present some definitions and preliminary results about the Sinc function and SE, DE Sinc quadrature for indefinite integral. In Section , ...
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A class of Runge–Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels
... into nonlinear Volterra integral equations of the second kind and then we will look for the solution by a class of Runge–Kutta ...singular integral equations, the pur- pose is to ...
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Comparing chebyshev polynomials and adomian decomposition method in solving nonlinear volterra integral equations of second kind
... the nonlinear Volterra integral equations have been ...for nonlinear Volterra integral equations by using Galerkin, Taylor polynomials and other ...and ...
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A New Technique for Approximate Solutions of the Nonlinear Volterra Integral Equations of the Second Kind
... In this paper, a dierent approach for nding an approximate solution of the Nonlinear Volterra Integral Equations (NVIE) of the Second Kind is presented. In this approach, the nonlinearity of ...
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A Numerical Approach for Solving Linear and Nonlinear Volterra Integral Equations with Controlled Error
... and nonlinear Volterra integral equations (LVIE, NVIE) of the first and the second ...a nonlinear programming problem and in some cases a linear programming ...
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Existence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed Point Theorem
... some nonlinear Volterra integral equations by using the techniques of measures of non compactness and the Petryshyn’s fixed point theorem in Banach ...the integral equation to confirm ...
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Numerical solutions of two-dimensional linear and nonlinear Volterra integral equations: Homotopy perturbation method and differential transform method
... and nonlinear equations (see [1], [2], [5]-[11]) and also in [26] this method is used for solving system of linear Fredholm integral and integro-differential ...type integral equations ...
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The Optimal Homotopy Asymptotic Method with Application to Second Kind of Nonlinear Volterra Integral Equations
... method, etc which can be used to obtain an approximate solutions of the nonlinear problems. However, there are several complications such as in grid modification, selection of stability conditions and selection of ...
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Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind
... Using the Picard iteration method and treating the involved integration by numerical quadrature formulas, we propose a numerical scheme for the second kind nonlinear Volterra integral equa- tions. ...
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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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Spectral Methods for Volterra Integral Equations
... many Volterra integral equations are usually ...the nonlinear Volterra integral equations was used by Brunner and Tang ...the nonlinear Volterra ...
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On Volterra type integral equations in noncompact metric space
... and nonlinear Volterra integral equations of the second kind in the case when the independent variable belongs to an arbitrary noncompact metric ...of Volterra-type integral ...
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Numerical approach for solving nonlinear stochastic Ito-Volterra integral equations using Fibonacci operational matrices
... process has been used for modeling the stock market and in quantum mechanics. The French mathematician and father of mathematical nance Louis Bachelier initiated the mathematical equations of Brownian mo- tion in ...
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Numerical Solution of Two Dimensional Nonlinear Stochastic Itô Volterra Integral Equations by Applying Block Pulse Functions
... For nonlinear determinate Volterra integral equations, Maleknejad et al. [8] and Nemati et al. [6] used two-dimensional block pulse functions and Legendre polynomials to solve those ...
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On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation
... In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equa- tions and extension of this type of integral equations. The result is obtained by using the ...
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Numerical solution of the system of Volterra integral equations of the first kind
... and nonlinear problems has been devoted by scientists and engineers, for example, non- linear systems of ordinary differential equations [11], boundary value problems [22], delay dif- ferential ...
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NUMERICAL SCHEMES FOR SOLVING VOLTERRA INTEGRAL EQUATIONS WITH CARLEMAN KERNEL
... of nonlinear Volterra integral equation with weakly ...singular integral equations of the second ...perturbed Volterra integral equations, whereas Kilbas and Saigo ...
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Some nonlinear integral inequalities for Volterra-Fredholm Integral equations
... some nonlinear Volterra-Fredholm integral inequalities, which can be used as handy tools to study the qualitative as well as the quantitative properties of solutions of some Volterra-Fredholm ...
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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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On the boundedness of the solutions in nonlinear discrete Volterra difference equations
... and nonlinear discrete Volterra equations in both convolution and non-convolution ...discrete equations is motivated as because they represent a discrete analogue of some integral ...
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