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Convergence of the Neumann series for the Schrodinger equation and general Volterra equations in Banach spaces
Neumann Convergence the Schrodinger equation
2011/7/26
Abstract: The objective of the article is to treat the Schrodinger equation in parallel with a standard treatment of the heat equation. In the mathematics literature, the heat equation initial value p...
Modified Neumann series for solving Fredholm integral equation
Perturbation Method Fredholm integral equation
2010/9/13
In this paper we present a modification to Neumann series method for solving Fredholm integral equation. We create a perturbation in left side of Fredholm integral equation and we show the decrement o...
NEUMANN SERIES SOLUTION TO A NEUTRON TRANSPORT EQUATION OF SLAB GEOMETRY
Neutron transport equation series soluti
2007/8/7
This paper deals with the solution to an energy, dependent stationary neutron transport equation of slab geometry. In L~p space, the equation is converted into an equivalent integral equation. By the ...