Volterra Integro-Differential Equation
Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations
... nonlinear differential and Fredholm- Volterra integral and integro-differential-difference equations [5, 6, 7, 15, 18, ...nonlinear integro differential equations are exist, for ...
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Nonlinear Fuzzy Volterra Integro-differential Equation of N-th Order: Analytic Solution and Existence and Uniqueness of Solution
... fuzzy Volterra integro-differential equation of n − th order of the second-kind with nonlinear fuzzy kernel and initial ...This equation is transformed to a nonlinear fuzzy ...
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A new numerical scheme for solving system of volterra integro differential equation
... Genocchi polynomial is defined via the Bernoulli polyno- mial as given in Eq. (2). Therefore, the absolute error of apply- ing Genocchi polynomial to solving system of Volterra integro-differential ...
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SOLUTION OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND KIND USING THE MODIFIED ADOMIAN DECOMPOSITION METHOD
... linear volterra integro-differential equations are reduced to the standard linear volterra integral equation of the second kind in other to avoid unrealistic assumptions experienced ...
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Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation
... Volterra integro-differential equations are usually difficult to solve in an analytical ...algebraic equation systems; furthermore, the integrals involved are immediate and therefore we do not have to ...
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Approximation the fuzzy solution of the non linear fuzzy Volterra integro differential equation using fixed point theorems
... In this paper, the fuzzy solution of non-linear fuzzy Volterra integro-differential equation (NFIDE) is approximated. To do this, we define a sequence of fuzzy functions which approximate the fuzzy ...
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The Application of the Hybrid Method to Solving the Volterra Integro-differential Equation
... Vito Volterra had to solve integro-differential equations with variable ...1930s, Volterra showed that mathematical models for some seasonal diseases, ...and differential equations (see ...
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Numerical Solution of Linear Volterra Integro-Differential Equation using Runge-Kutta-Fehlberg Method
... convolution-type Volterra integral equations of the first kind, In: Inverse problems for differential equations of the mathematical physics (Russian), Novasibirsk: ...
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Approximate solution of linear Volterra integro differential equation by using cubic B spline finite element method in the complex plane
... In this work, we used the linear B-spline finite element method (LBS-FEM) and cubic B- spline finite element method (CBS-FEM) for solving and obtaining numerical solutions of Volterra integro-differential ...
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Numerical solution of a singularly perturbed Volterra integro differential equation
... which is a Volterra integral equation of the second kind. The singularly perturbed nature of (.) occurs when the properties of the solution with ε > are incompatible with those when ε = . The ...
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Existence and Uniqueness of Solution for a Fractional Order Integro Differential Equation with Non Local and Global Boundary Conditions
... – Volterra integro-differential equation with non-local and global boundary conditions by converting it to the corresponding well known Fredholm integral equation of second ...
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An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method Mohammed G. S. AL-Safi
... Fractional integro-differential equation is considered as an important model for various physical wonders in engineering and scientific ...solving integro-differential equation ...
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Solutions for a class of nonlinear Volterra integral and integro differential equation using cyclic (φ,ψ,θ) contraction
... Integral equation methods are very useful for solving many problems in several applied fields like mathematical economics and optimal control theory, because these problems are often reduced to integral ...
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Numerical Solution of Nonlinear Integro Differential Equations with Initial Conditions by Bernstein Operational Matrix of Derivative
... nonlinear Volterra- Fredholm integro-differential ...tial equation into an integral equation ...nonlinear integro- differential equations, we observe that no obvious alge- ...
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An exponentially convergent Volterra-Fredholm method for integro-differential equations
... Fredholm integro-differential equa- tions (FIDEs), presented herein is a study of the errors incurred by first transforming (as in, ...hybrid Volterra-Fredholm integral equation ...its ...
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The coupled method for singularly perturbed Volterra integro differential equations
... a Volterra integral equation of the second ...perturbed Volterra integro-differential equations arise in many physical and biological problems (see, ...perturbed Volterra integral and ...
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A method for fractional Volterra integro differential equations by Laguerre polynomials
... linear Volterra integro-differential ...the integro-differential equation to a system of linear algebraic equations by using the collocation ...
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A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations
... this equation with proposed method of section ...order integro-differential equation ap- proaches to the exact solution of integer order integro-differential ...
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A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations
... terval 0 ≤ x, t ≤ a < ∞ . This variant or improvement for the method gave us a faster and more accurate method compared to the other methods. In addition, an interesting feature of this method is to find the analytical ...
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Hybrid method for solving nonlinear Volterra-Fredholm integro differential equations
... solving integro differential equations [2, 4, 17, 19, ...the integro-differential ...nonlinear Volterra-Fredholm integral and integro differential equation using ...
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