Integro-differential equations
Numerical and analytical study for integro-differential equations using shifted Legendre method
... The integro-differential equation (IDE) is an equation that involves both integrals and derivatives of an unknown ...functional equations, like ordinary or partial differential ...
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Fibonacci collocation method with a residual error Function to solve linear Volterra integro differential equations
... In this article, we have presented Fibonacci collocation method with a residual error function to solve high order linear Volterra integro-differential equations. From the comparisons of the results ...
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LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD FOR SOLVING VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITHIN LOCAL FRACTIONAL OPERATORS
... The paper uses the Local fractional variational Iteration Method for solving the second kind Volterra integro-differential equations within the local fractional integral operators. The analytical ...
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The Application of the Hybrid Method to Solving the Volterra Integro-differential Equation
... Abstract— There are several works dedicated to the investigation of Volterra integro-differential equations. In addition, there are theoretical and practical representations of stable methods that ...
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A New Polynomial Method for Solving Fredholm –Volterra Integral Equations
... nonlinear integro-differential ...nonlinear integro-differential equations particularly Fredholm, Volterra, Volterra–Hammerstein, Fredholm- Volterra, impulse ...
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Comput. Appl. Math. vol.30 número3
... of equations by many ...for differential algebraic equations [8], partial differential equations [5, 6, 7], fractional differential equations [10, 11], Volterra integral ...
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Numerical Solution of Second-Order Linear Fredholm Integro-Differential Equation Using Generalized Minimal Residual Method
... complicated equations such as partial differential equations, integral equations, Integro-Differential Equations (IDE), stochastic equations and ...such ...
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Analytical Solutions of the Navier-Stokes Model by He's Polynomials
... Recently, He [8] developed the Homotopy Perturbation Method (HPM) for solving differential equations. Basically, the merit of the HPM is to overcome the difficulties involved in calculating the nonlinear ...
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The Numerical Solution of Fractional Differential Algebraic Equations (FDAEs)
... In this study, the present method has been extended to solve fractional differentia l-a lgebraic equations (FDA Es). Two e xa mples are given to demonstrate to powerfulness of the method. The results obtained by ...
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Differential Algebraic Equations of MOS Circuits and Jump Behavior
... in the following we assume S to be a smooth manifold. The second condition requires the construction of a vector field X on the smooth manifold S. Based on fundamental physi- cal laws, the relationships between currents ...
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On some impulsive fractional differential equations in Banach spaces
... fractional differential equations, some authors use Krasnoselskii’s fixed point theorem or contraction map- ping ...fractional differential equations, however, the condition on f is a little ...
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Approximations of the nonlinear Painlevand#233; transcendents
... New homotopy perturbation solutions [17] have been presented for the first and second Painlev´e transcendents. The results show a very good agreement with the other methods. The major advantage of the NHPM is that it is ...
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Meshless methods in electromagnetic wave scattering
... to differential equations defined in a certain geometrical domain without the need of setting up a mesh or a grid in this ...(the differential equation is converted into an integral expression ...
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Adaptive Collocation Methods for the Solution of Partial Differential Equations
... • Confirmation or rejection of the hypothesis formulated by the analysis of former or new data obtained. The generally explanatory hypothesis can be simply a model, or more precisely, a mathematical model, that resume ...
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Existence the Solution for Fractional order Nonlinear Functional Integro-Differential Equation in Banach Space
... In this section we consider the fractional order functional integro-differential equation (1.1).The following hybrid fixed point theorem for three operators in Banach algebras �, due to B.C.Dhage [13] will ...
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Method of lines for parabolic stochastic functional partial differential equations
... The method of lines is a semidiscrete numerical method. The idea is to discretize the spatial variable and reduce the given equation to a system of ordinary differential equations. The derivatives with respect to ...
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On differential equations for orthogonal polynomials on the unit circle
... In [4] it is established that Laguerre-Hahn sequences of orthogonal poly- nomials on the unit circle are factorized in terms of well characterized semi- classical sequences of orthogonal polynomials. In this paper we ...
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Reduction theories elucidate the origins of complex biological rhythms generated by interacting delay-induced oscillations.
... low-dimensional equations, we demonstrate that diffusive (linearly attractive) coupling between a pair of delay-induced oscillations can exhibit nontrivial amplitude death and multimodal phase ...
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Growth and yield models for eucalyptus stands obtained by differential equations
... Models for projecting stand growth and yield, based on differential equations, can generate precise es- timations. The basal area projection models obtained by using differential equations ...
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