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Numerical integration of the interaction energy of two point charges

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  • Gammal, A.

Abstract

We calculated numerically the energy interaction of two point charged particles. The integral has simple analytical result but is not easily solved numerically. Commercial programs as Mathematica 3.0™ and Maple V™ could not evaluate the integral and Gauss–Legendre method gave poor results. The method of Runge–Kutta integration was capable of solving it with good results. This integral showed to be a useful prototype for definite integration for double integration with poles.

Suggested Citation

  • Gammal, A., 1998. "Numerical integration of the interaction energy of two point charges," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 47(1), pages 13-16.
    • Handle: RePEc:eee:matcom:v:47:y:1998:i:1:p:13-16
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