Results 181 to 190 of about 10,386 (208)

Integro-Differential Equation

2015
Solving for the complete many-body wave function (instead of partial waves in a PH expansion), one gets an integro-differential equation (IDE). The IDE is derived from PH expansion method. Hence, IDE and PHEM are equivalent. Still IDE has certain advantages: its structure and complexity do not increase with the number of particles. Also, since there is
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Fredholm integro-differential equation

Journal of Soviet Mathematics, 1993
See the review in Zbl 0674.65107.
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Collocation Methods for Integro-Differential Equations

SIAM Journal on Numerical Analysis, 1977
In this note we extend the work of de Boor and Swartz (SIAM J. Numer. Anal., 10 (1973), pp. 582-606) on the solution of two-point boundary value problems by collocation. In particular, we are concerned with boundary value problems described by integro-differential equations involving derivatives of order up to and including m with m boundary conditions.
Hangelbroek, Rutger J., Kaper, Hans G., Leaf, Gary K.   +2 more
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Singularly Perturbed Volterra Integro-differential Equations

Quaestiones Mathematicae, 2002
Several investigations have been made on singularly perturbed integral equations. This paper aims at presenting an algorithm for the construction of asymptotic solutions and then provide a proof asymptotic correctness to singularly perturbed systems of Volterra integro-differential equations.
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Fractional Integro-Differential Equations

2018
Fractional calculus is a generalization of the classical differentiation and integration of non-integer order. Fractional calculus is as old as differential calculus.
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Fredholm Integro-Differential Equations

2011
In Chapter 2, the conversion of boundary value problems to Fredholm integral equations was presented. However, the research work in this field resulted in a new specific topic, where both differential and integral operators appeared together in the same equation.
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Symmetries of integro-differential equations

Reports on Mathematical Physics, 2001
A new general method is presented for the determination of Lie symmetry groups of integro-differential equation. The suggested method is a natural extension of the Ovsiannikov method developed for differential equations. The method leads to important applications for instance to the Vlasov-Maxwell equations.
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Volterra Integro-Differential Equations

2011
Volterra studied the hereditary influences when he was examining a population growth model. The research work resulted in a specific topic, where both differential and integral operators appeared together in the same equation. This new type of equations was termed as Volterra integro-differential equations [1–4], given in the form $${u^{\left( n ...
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Nonlinear Fredholm Integro-Differential Equations

2011
The linear Fredholm integral equations and the linear Fredholm integrodifferential equations were presented in Chapters 4 and 6 respectively. In Chapter 15, the nonlinear Fredholm integral equations were examined. It is our goal in this chapter to study the nonlinear Fredholm integro-differential equations [1–7] and the systems of nonlinear Fredholm ...
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Abstract Volterra Integro-Differential Equations

2015
PREFACE NOTATION INTRODUCTION PRELIMINARIES Vector-valued functions, closed operators and integration in sequentially complete locally convex spaces Laplace transform in sequentially complete locally convex spaces Operators of fractional differentiation, Mittag-Leffler and Wright functions (a k)-REGULARIZED C-RESOLVENT FAMILIES IN LOCALLY CONVEX SPACES
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