Fredholm Integro-Differential Equation
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 ...Volterra-Fredholm integro- differential equation to the solution of algebraic ...
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Numerical Solution of Fredholm Integro-differential Equations By Using Hybrid Function Operational Matrix of Differentiation
... In this paper, first, a numerical method is presented for solving a class of linear Fredholm integro- differential equation. The operational matrix of derivative is obtained by introducing ...
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Non Standard Difference Method for Numerical Solution of Linear Fredholm Integro Differential Type Two Point Boundary Value Problems
... Last few decades have seen substantial progress in the development of approximate solution by non-conven- tional methods. One such method, a non-standard finite difference method has increasingly been recognized as a ...
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A numerical technique based on operational matrices for solving nonlinear integro-differential equations
... of integro-differential equations, system of nonlinear high order Volterra-Fredholm integro-differential equation(VFIDEs) and nonlinear fractional order integro- ...
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Vol 6, No 10 (2015)
... I n this paper, the Bernstein Polynomial method is used to find an approximate solution to initials values problem for 3 rd -order linear Volterra-Fredholm integro differential equation of the ...
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He’s Homotopy Perturbation Method for solving Linear and Non-Linear Fredholm Integro-Differential Equations
... non-linear Fredholm Integro-Differential Equation and conducted a comparative study between He’s Homotopy perturbation method and the traditional methods that is Variational iteration method, ...
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EXISTENCE AND UNIQUENESS THEOREMS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
... Abstract: In this article, the homotopy perturbation method has been successfully applied to find the approximate solution of a Caputo fractional Volterra-Fredholm integro-differential ...
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Vol 6, No 8 (2015)
... and integro-differential ...for Fredholm integro- Differential equation and integral equation of the second kind in ...of Fredholm integral equation of the ...
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Multigrid Solution of an Elliptic Fredholm Partial Integro Differential Equation with a Hilbert Schmidt Integral Operator
... partial integro-differential equation (PIDE) is an equation composed of a partial-differential term and an integral ...partial-integro differential equations has attracted ...
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Nonlinear Fuzzy Volterra Integro-differential Equation of N-th Order: Analytic Solution and Existence and Uniqueness of Solution
... Volterra- Fredholm integral ...fuzzy integro-differential and fuzzy delay integro-differential under local ...fuzzy differential equations was cov- ered by Allahviranloo et ...
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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 solution of ...
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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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An exponentially convergent Volterra-Fredholm method for integro-differential equations
... i.e. ξ is a prescribed real constant in the interval containing all Legendre nodes. When the BC is given for the end-points ξ = ± 1, the FIDE can be converted into a Volterra-Fredholm integral equation ...
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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 ...and integro differential equation using operational matrix with block-pulse ...
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Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions
... nonlinear Fredholm integral equa- tion and then by numerical approaching the frac- tional integral the approximate solution of this equation was obtained by Nystr¨ om and Newton- Kantorovitch ...
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A numerical method for partial fractional Fredholm integro-differential equations
... Therefore, problem (1.1)-(1.2) is equivalent to the Fredholm integral equation (3.17). Since f and k are continuous functions on their corresponding domains, it follows that g(x, t) and K(x, t, y, z) are ...
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Error analysis of a spectrally accurate Volterra-transformation method for solving 1-D Fredholm 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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The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential Equations
... [25], Fredholm integral equation of the first kind [25], singular Fredhom integro-differential equa- tions with weakly singularity [27], a class of third-order differential equations ...
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Solving linear Volterra–Fredholm integro- differential equations of fractional order by using Generalized Differential Transform Method
... Generalized differential transform method (GDTM) is applied to solve linear integro-differential volterra –fredholm equation of fractional order ...
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Existence and Uniqueness of Solution for a Fractional Order Integro Differential Equation with Non Local and Global Boundary Conditions
... order Fredholm – Volterra integro-differential equation with non-local and global boundary conditions by converting it to the corresponding well known Fredholm integral equation ...
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