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@MASTERSTHESIS{Vorderwlbecke:851758,
      author       = {Vorderwülbecke, Sophia},
      title        = {{N}umerical {S}olutions of {F}ractional {N}onlinear
                      {A}dvection-{R}eaction-{D}iffusion {E}quations},
      school       = {The University of Wisconsin-Milwaukee},
      type         = {Masterarbeit},
      reportid     = {FZJ-2018-05282},
      pages        = {v, 60 p.},
      year         = {2018},
      note         = {Masterarbeit, The University of Wisconsin-Milwaukee, 2018},
      abstract     = {In this thesis nonlinear differential equations containing
                      advection, reaction and diffusionterms are solved
                      numerically, where the diffusion term is modelled by a
                      fractional derivative.One of the methods employed is a
                      finite difference method for temporal as well as
                      spatialdiscretization. Furthermore, exponential time
                      differencing schemes under consideration ofdifferent matrix
                      exponential approximations are exploited for the temporal
                      discretization,whereas finite differences are used for the
                      spatial approximation. The schemes are applied tothe
                      homogeneous Burgers, Burgers-Fisher and Burgers-Huxley
                      equation and compared withrespect to convergence and
                      efficiency in a numerical investigation.},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)19},
      url          = {https://juser.fz-juelich.de/record/851758},
}