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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.   +2 more
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A Robust Numerical Method for a Singularly Perturbed Fredholm Integro-Differential Equation

Mediterranean Journal of Mathematics, 2021
M. Durmaz, G. M. Amiraliyev
semanticscholar   +1 more source

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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On the Ulam stabilities of nonlinear integral equations and integro‐differential equations

Mathematical methods in the applied sciences
In this research, two systems of nonlinear Volterra integral equation and Volterra integro‐differential equation were considered. New results in sense of Ulam stabilities in relation to these two systems were proved on a finite interval. The proof of the
O. Tunç   +3 more
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On a Nonlinear Singular Integro‐Differential Equation

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1987
The author [ibid. 63, 249-259 (1983; Zbl 0525.45004) and 65, 309-310 (1985; Zbl 0573.45004)] applied methods of monotone operator theory to some classes of nonlinear singular integral and integrodifferential equations of Cauchy type. In particular, in the first cited paper, the main theorem of the theory of maximal monotone operators was used to prove ...
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