• Corpus ID: 118322810

Study Notes on Numerical Solutions of the Wave Equation with the Finite Difference Method

@article{Adib2000StudyNO,
  title={Study Notes on Numerical Solutions of the Wave Equation with the Finite Difference Method},
  author={A. B. Adib},
  journal={arXiv: Computational Physics},
  year={2000}
}
  • A. B. Adib
  • Published 22 September 2000
  • Mathematics
  • arXiv: Computational Physics
In this introductory work I will present the Finite Difference method for hyperbolic equations, focusing on a method which has second order precision both in time and space (the so-called staggered leapfrog method) and applying it to the case of the 1d and 2d wave equation. A brief derivation of the energy and equation of motion of a wave is done before the numerical part in order to make the transition from the continuum to the lattice clearer. To illustrate the extension of the method to more… 
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