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[PDF] Top 20 A Numerical Approach for Solving Linear and Nonlinear Volterra Integral Equations with Controlled Error

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A Numerical Approach for Solving Linear and Nonlinear Volterra Integral Equations with Controlled Error

A Numerical Approach for Solving Linear and Nonlinear Volterra Integral Equations with Controlled Error

... a linear or nonlinear function of ...for solving (1) such as Adomian's decomposition method, series solution method and successive substitution method ...many numerical methods are also ... See full document

6

Legendre Wavelet for Solving Linear System of Fredholm And Volterra Integral Equations

Legendre Wavelet for Solving Linear System of Fredholm And Volterra Integral Equations

... The system (33) solved by three method, first by block-by-block method by R. Kataniand and S. Shahmorad [18], second, an expansion method by M. Rabbania and K. Maleknejad [17], third, Biorthogonal systems M.I. Berenguer ... See full document

9

A Direct Method for Numerically Solving
 Integral Equations System Using Orthogonal
 Triangular Functions

A Direct Method for Numerically Solving Integral Equations System Using Orthogonal Triangular Functions

... compute numerical solutions of the linear Volterra and Fred- holm integral equations system is ...This approach is based on vector forms of triangular functions and its ... See full document

11

Numerical solutions of two-dimensional linear and nonlinear Volterra integral equations: Homotopy perturbation method and differential transform method

Numerical solutions of two-dimensional linear and nonlinear Volterra integral equations: Homotopy perturbation method and differential transform method

... of linear 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 ... See full document

11

Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations

Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations

... various numerical methods such as finite difference method [4], radial basis function method [2], Galerkin method [9], operational matrix method [6, 11, 12, 16], Legendre wavelets Galerkin method [7], linear ... See full document

18

Numerical Implementation of Triangular Functions for Solving a Stochastic Nonlinear Volterra-Fredholm Integral Equation

Numerical Implementation of Triangular Functions for Solving a Stochastic Nonlinear Volterra-Fredholm Integral Equation

... a numerical method for solv- ing the stochastic nonlinear volterra-fredholm integral equation (SNVFIE) driven by a standard Brownian motion ...this approach, the SNVFIE reduces to a ... See full document

6

Variational iterative method: an appropriate numerical scheme for solving system of linear Volterra fuzzy integro differential equations

Variational iterative method: an appropriate numerical scheme for solving system of linear Volterra fuzzy integro differential equations

... differential equations. Integral and integro-differential equations with fuzzy primal conditions have led to many practical approaches and are essential tools for various real- world problems in ... See full document

15

A New Approach for Solving Volterra Integral Equations Using The Reproducing Kernel ‎Method

A New Approach for Solving Volterra Integral Equations Using The Reproducing Kernel ‎Method

... technique.Examples presented here belong to dif- ferent categories such as linear or nonlinear prob- lem with smooth or none-smooth kernel and so- lution.Nevertheless, our results only apply to the given ... See full document

6

Numerical solution of general nonlinear Fredholm-Volterra integral equations using Chebyshev ‎approximation

Numerical solution of general nonlinear Fredholm-Volterra integral equations using Chebyshev ‎approximation

... these equations with operational ma- trices with more huge computations and opera- tion counts ...the nonlinear Fredholm integral equation to an optimal control problem and then used a linear ... See full document

6

A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations

A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations

... absolute error between the exact and approximate solutions for m = 4, 6, ...our numerical results are in perfect agreement with the exact solution for ν = ...the numerical results for ν = ... See full document

22

Numerical Solutions of Volterra Equations Using Galerkin Method with Certain Orthogonal Polynomials

Numerical Solutions of Volterra Equations Using Galerkin Method with Certain Orthogonal Polynomials

... developed numerical methods for the solution of Volterra integral equations using various ...the numerical solu- tions of Volterra integral equations of the second ... See full document

7

The Adomian Decomposition Method of Volterra Integral Equation of Second Kind

The Adomian Decomposition Method of Volterra Integral Equation of Second Kind

... to linear and nonlinear integral ...for solving algebraic, differential, integro- differential, differential-delay, and partial differential ...with linear as well as nonlinear ... See full document

7

Numerical Solution of Nonlinear Fredholm Volterra Integtral Equations via Piecewise Constant Function by Collocation Method

Numerical Solution of Nonlinear Fredholm Volterra Integtral Equations via Piecewise Constant Function by Collocation Method

... of linear and nonlinear integral equations are ...Fredholm-Hammerstein integral equations was introduced in ...to nonlinear Volterra-Fredholm-Hammer- stein ... See full document

5

Numerical Method for solving Volterra Integral Equations with a Convolution Kernel

Numerical Method for solving Volterra Integral Equations with a Convolution Kernel

... Several numerical methods are available for approximating the Volterra integral ...of integral equation using the Chebyshev polynomials, while Yousefi[5] presented a numerical method ... See full document

5

Numerical investigation of nonlinear volterra hammerstein integral equations via single term haar wavelet series

Numerical investigation of nonlinear volterra hammerstein integral equations via single term haar wavelet series

... asymptotic error expansion of a collocation-type method for Volterra-Hammerstein integral ...given integral equation into a system of non-linear equations, which has to be solved ... See full document

5

A NUMERICAL METHOD FOR SOLVING LINEAR INTEGRAL EQUATIONS

A NUMERICAL METHOD FOR SOLVING LINEAR INTEGRAL EQUATIONS

... of linear and nonlinear, ordinary, partial, deterministic or stochastic differential equations and integro-differential equations with approximate solutions which converge rapidly to accurate ... See full document

9

Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind

Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind

... the nonlinear Volterra integral equation are consi- dered in [1]-[4] ...and numerical methods have been proposed for solving this type of equa- tions, such as the linearization and ... See full document

11

Numerical solution of nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets

Numerical solution of nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets

... efficient numerical method is presented for solving nonlinear stochastic Itô–Volterra integral equations based on Haar ...of nonlinear stochastic Itô–Volterra ... See full document

14

Numerical method for non-linear fuzzy Volterra integral equations of the second kind

Numerical method for non-linear fuzzy Volterra integral equations of the second kind

... Keywords : Fuzzy number; F uzzy integral equation; Quadrature rules; numerial method.. ||||||||||||||||||||||||||||||||{.[r] ... See full document

11

Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials

Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials

... Table 5 shows the comparison between the exact solution and approximate solution obtained by proposed method for different values of N. Also, in this table we compare proposed method with modification of hat functions ... See full document

15

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