Linear Volterra Integral Equation
Hyers-Ulam stability of Volterra integral equation
... The purpose of the this work is to discuss the Hyers–Ulam stability of the non homogeneous linear Volterra integral equation (2.1), where x ∈ I = [a, b], −∞ ≤ a < b ≤ ∞. We will use the ...
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SOLUTION OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND KIND USING THE MODIFIED ADOMIAN DECOMPOSITION METHOD
... paper, linear volterra integro-differential equations are reduced to the standard linear volterra integral equation of the second kind in other to avoid unrealistic assumptions ...
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Bernoulli operational matrix method for system of linear Volterra integral equations
... of Volterra integral equations which arose in many physical prob- lems such as ...of linear Volterra integral equations to a system of linear algebraic equations that can be ...
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To Theory One Class Linear Model Noclassical Volterra Type Integral Equation with Left Boundary Singular Point
... Modeling Linear Vol- terra Type Integral Equation with Boundary Singular Ker- nels,” Theses of Reports of the 4th International Confer- ence “Function ...
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Numerical Treatment of Nonlinear Volterra Fredholm Integral Equation with a Generalized Singular Kernel
... two-dimensional linear and 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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Solving Mixed Volterra - Fredholm Integral Equation (MVFIE) by Designing Neural Network
... In this section we report numerical result, we use a multi-layer FFNN having one hidden layer with 5 hidden units (neurons) and one linear output unit. The sigmoid activation of each hidden unit is Log – sigmoid ...
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Numerical Solutions of Volterra Equations Using Galerkin Method with Certain Orthogonal Polynomials
... of Volterra integral equations using various ...of Volterra integral equations of the second ...of linear and nonlinear Volterra equations using both Hermite and Chebychev ...
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Fuzzy bivariate Chebyshev method for solving fuzzy Volterra-Fredholm integral equations
... Keywords : F uzzy numbers; F uzzy Volterra-Fredholm integral equation; Fuzzy bivariate Chebyshev.. method; Dual fuzzy linear system; Nonnegative matrix.[r] ...
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NUMERICAL SOLUTION OF LINEAR FREDHOLM AND VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND BY USING LEGENDRE WAVELETS
... the linear second kind integral ...the integral equations. Then we reduced the integral equation to the solution of linear algebraic ...
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Existence, Uniqueness And Stability Solution Of Non-Linear System Of Integro-Differential Equation Of Volterra Type
... An integral equation is a functional equation in which the unknown function appears under one or several integral signs; if, in addition, the equation contains a derivative of this ...
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Approximation solution of two-dimensional linear stochastic Volterra-Fredholm integral equation via two-dimensional Block-pulse functions
... and linear Volterra-Fredholm ordinary integral equations arise from vari- ous physical and biological ...and linear Volterra-Fredholm ordinary integral equations of the second ...
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The Adomian Decomposition Method of Volterra Integral Equation of Second Kind
... to linear and nonlinear integral ...with linear as well as nonlinear problems, as it yields analytical solutions and offers certain advantages over standered numerical ...of integral equations ...
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Reduces Solution of Fredholm Integral Equation to a System of Linear Algebraic Equation
... neutralization, Volterra integration neutralizations, Hammerstein integration neutralization, mixed integration neutralization and 2-D integration neutralization is ...
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An application of the Romberg Extrapolation on Modified Trapezoidal Quadrature method for solving linear Volterra Integral Equations of the second type
... ABSTRACT: In this article we have used modified trapezoidal quadrature method to solve the Volterra integral equation (VIE) of the second type. Using Romberg extrapolation, the speed and accuracy of ...
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Numerical Solution of Freholm Volterra Integral Equations by Using Scaling Function Interpolation Method
... finite-dimensional linear systems is well ...finite-dimensional linear systems, one can view integral equations as extensions of linear systems of algebraic ...An integral ...
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A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations
... kind linear Volterra integral ...the integral equation reduces to solve a recurrence ...of integral equation is iteratively produced via the recurrence ...
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Modified Adomian Techniques Applied to Non Linear Volterra Integral Equations
... (1.1) Equation (1.1) represents a 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 ...
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Approximate Solution of the Volterra Random Integral Equations
... solve Volterra random integral equation and same time it can be used to solve linear and non linear random integral ...non linear second kind Volterra random ...
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A finite difference method for the smooth solution of linear Volterra integral equations
... the integral equations to a similar problem with smooth solutions (see, [3, 6, 7, 9, ...single integral equation to a system having smooth ...
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Legendre Wavelet for Solving Linear System of Fredholm And Volterra Integral Equations
... In this paper, Legendre wavelets method was aplied for solving system of linear integral equations. The present method reduced the system of integral equations to a system of linear algebraic ...
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