Fredholm Integro-Differential Equations
A priori Nyström-method error bounds in approximate solutions of 1-D Fredholm integro-differential equations
... one-dimensional Fredholm integro-differential ...novel integro-differential-equation formulation of a static, fourth-order, Euler-Bernoulli beam-deflection boundary-value problem in ...
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Error analysis of a spectrally accurate Volterra-transformation method for solving 1-D Fredholm integro-differential equations
... one-dimensional Fredholm integro-differential equations (FIDEs) are obtained indirectly by transforming the FIDE into a hybrid Volterra-Fredholm integral equation (VFIE), which is ...
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Solving linear Volterra–Fredholm integro- differential equations of fractional order by using Generalized Differential Transform Method
... Volterra-Fredholm integro-differential equations and treated this type numerically and this study present for the first time the Generalized differential transformation method as a ...
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He’s Homotopy Perturbation Method for solving Linear and Non-Linear Fredholm Integro-Differential Equations
... non-linear Fredholm Integro-Differential Equations with initial conditions are ...non-linear Fredholm Integro-Differential Equations, this paper presents a ...
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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
... Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation ...
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Hybrid method for solving nonlinear Volterra-Fredholm integro differential equations
... In this section, we will study the convergence analysis as the same manner in [12] of the LADM applied to the nonlinear Volterra-Fredholm integro differential equations. Let us con- sider the ...
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Numerical Solution of Fredholm Integro-differential Equations By Using Hybrid Function Operational Matrix of Differentiation
... In this paper, we constructed operational matrix of derivative of hybrid the third kind Chebyshev polynomials and Block-pulse functions. Also, we applied these matrices to convert Fredholm ...
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Solving high order nonlinear Volterra Fredholm integro differential equations by differential transform method
... the differential transfor- mation method to high-order nonlinear Volterra- Fredholm integro-differential equations with se- parable ...the differential trans- formation method is ...
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EXISTENCE AND UNIQUENESS THEOREMS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
... [7] A. Hamoud, K. Ghadle, The combined modified Laplace with Adomian decomposition method for solving the nonlinear Volterra-Fredholm integro- differential equations, J. Korean Soc. Ind. Appl. ...
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Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions
... Volterra-Fredholm integro- differential equations we refer the reader to see [9, 14], also existence and uniqueness results for fractional integro-differential equations ...
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Solution of fractional Volterra–Fredholm integro differential equations under mixed boundary conditions by using the HOBW method
... FIDE is converted into a system of algebraic equations that can be disbanded by New- ton’s method. We applied the Gauss–Legendre quadrature technique for calculating the integration on nonlinear terms. The ...
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A numerical method for partial fractional Fredholm integro-differential equations
... partial differential and integral equations have been applied for solving many practical problems which are modeled in various fields of science and engineering, such as, physics, electrochemistry, ...
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Numerical Solution of Nonlinear Integro Differential Equations with Initial Conditions by Bernstein Operational Matrix of Derivative
... Volterra-Fredholm integro-differential equa- tions under initial conditions in terms of Bernstein polynomials on the interval ...matrices’ equations by operational matrices of Bernstein ...
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Numerical treatment for first order neutral delay differential equations using spline functions
... solving differential equations with deviating argument and some others discussed the numerical treatment of delay differential equations ([14], [17], [18]) and second order Fredholm ...
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A matrix method for system of integro-differential equations by using generalized Laguerre polynomials
... In this section, we give several illustrative examples for demonstrate the efficiency of our proposed method to approximate the solutions system of Fredholm integro-differential equations of ...
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Optimum Solutions of Fredholm and Volterra Integro-differential Equations
... 14] for the solution of differential equations. Many authors extended the proposed method for the solution of different kinds of integral equations. Khan et al. [15] used the proposed method for the ...
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An exponentially convergent Volterra-Fredholm method for integro-differential equations
... first-order Fredholm integro-differential equations has been developed by first converting the problem into a Volterra- Fredholm integral ...
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Vol 6, No 10 (2015)
... Most integro differential equations are difficult to solve analytically, in many cases it requires to obtain the approximate ...Volterra- Fredholm integro-differential ...
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The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential Equations
... integral equations in the reproducing kernel Hilbert space which was pre- sented by Zaremba in ...integral equations with cosecant kernel [25], Fredholm integral equation of the first kind [25], ...
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Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets
... Many mathematical modelings of various physical phenomena contain FIDEs [6, 11, 36]. Generally speaking, the analytical solutions of most FIDEs are not easy to obtain. Therefore, seeking numerical solutions of these ...
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