Numerical Simulation

Richard H. Enns and George C. McGuire
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Richard H. Enns: Simon Fraser University, Department of Physics
George C. McGuire: University College of the Fraser Valley, Department of Physics

Chapter Chapter 11 in Nonlinear Physics with Mathematica for Scientists and Engineers, 2004, pp 451-490 from Springer

Abstract: Abstract One approach to investigating the collisional stability of solitary waves, as well as the evolution of other input shapes, for the nonlinear PDEs that have been encountered is through the use of numerical simulation. The PDEs can be solved numerically using either explicit or implicit schemes. In either case, the starting point is the representation of the partial derivatives by finite difference approximations. This may be easily accomplished by generalizing the treatment outlined in Chapter 6 for nonlinear ODEs.

Keywords: Solitary Wave; Mesh Point; Explicit Scheme; Solitary Wave Solution; Finite Difference Approximation (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-1-4612-0211-0_11

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