P. Swan
Abstract
A reduction is made of the second-order linear integro-differential equation describing many-body elastic collisions to a Fredholm equation, for which an analytic solution can be constructed. The Fredholm equation is easier to solve numerically, an example being solved by iteration as an illustration of its use.
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A reduction is made of the second-order linear integro-differential equation describing many-body elastic collisions to a Fredholm equation, for which an analytic solution can be constructed. The Fredholm equation is easier to solve numerically, an example being solved by iteration as an illustration of its use.
Key concepts: Fredholm integral equation, Fredholm theory, Integral equation, Integro-differential equation, Scattering, Differential equation, Mathematical analysis, Partial differential equation