NUMERICAL METHODS FOR THE THREE-DIMENSIONAL TWO-BODY PROBLEM IN THE ACTION-AT-A-DISTANCE ELECTRODYNAMICS

I. N. Nikitin () and J. de Luca ()
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I. N. Nikitin: German National Research Center for Information Technology, 53754 Sankt Augustin, Germany
J. de Luca: Departamento de Física, Universidade Federal de São Carlos, Via Washington Luis, km 235, 13565-905 São Carlos, SP, Brazil

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 05, 739-750

Abstract: We develop two numerical methods to solve the differential equations with deviating arguments for the motion of two charges in the action-at-a-distance electrodynamics. Our first method uses Stürmer's extrapolation formula and assumes that a step of integration can be taken as a step of light ladder, which limits its use to shallow energies. The second method is an improvement of pre-existing iterative schemes, designed for stronger convergence and can be used at high-energies.

Keywords: Numerical Methods; Differential Equations with Deviating Arguments; Wheeler–Feynman Electrodynamics (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101001894

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