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008			230503s2018 sz | o |||| 0|eng d
020			_a9783031024122
024	7		_a10.1007/978-3-031-02412-2 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aQA372 _b2018 EB
100	1		_aSalehi, Younes _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9688326
245	1	0	_aNumerical Integration of Space Fractional Partial Differential Equations _nVol 2, _pApplications from Classical Integer PDEs _cby Younes Salehi, William E. Schiesser
250			_a1st edition 2018
264		1	_aCham _bSpringer International Publishing _c2018
300			_a1 recurso en línea (XII, 192 páginas)
336			_atexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_aarchivo de texto _bPDF
490	0		_aSynthesis Lectures on Mathematics & Statistics _x1938-1751
505	0		_aPreface -- Simultaneous SFPDEs -- Two Sided SFPDEs -- Integer to Fractional Extensions -- Authors' Biographies -- Index.
520			_a<p>Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering. PDEs can have partial derivatives with respect to (1) an initial value variable, typically time, and (2) boundary value variables, typically spatial variables. Therefore, two fractional PDEs can be considered, (1) fractional in time (TFPDEs), and (2) fractional in space (SFPDEs). The two volumes are directed to the development and use of SFPDEs, with the discussion divided as:</p><div><ul></div> <li>Vol 1: Introduction to Algorithms and Computer Coding in R</li> <li>Vol 2: Applications from Classical Integer PDEs.</li></div> </ul></div> <p>Various definitions of space fractional derivatives have been proposed. We focus on the Caputo derivative, with occasional reference to the Riemann-Liouville derivative.</p></div> <p>In the second volume, the emphasis is on applications of SFPDEs developed mainly through the extension of classical integer PDEs to SFPDEs. The example applications are:</p></div> <ul> <li>Fractional diffusion equation with Dirichlet, Neumann and Robin boundary conditions <li>Fisher-Kolmogorov SFPDE</li></div> <li>Burgers SFPDE</li></div> <li>Fokker-Planck SFPDE</li></div> <li>Burgers-Huxley SFPDE</li></div> <li>Fitzhugh-Nagumo SFPDE</li></div></ul></div> <p>These SFPDEs were selected because they are integer first order in time and integer second order in space. The variation in the spatial derivative from order two (parabolic) to order one (first order hyperbolic) demonstrates the effect of the spatial fractional order with 1 ≤ ≤ 2. All of the example SFPDEs are one dimensional in Cartesian coordinates. Extensions to higher dimensions and other coordinate systems, in principle, follow from the examples in this second volume.</p></div> <p>The examples start with a statement of the integer PDEs that are then extended to SFPDEs. The format of each chapter is the same as in the first volume.</p></div> <p>The R routines can be downloaded and executed on a modest computer (R is readily available from the Internet).</p></div>.
988			_aSynthesis Collection of Technology_2018
650		7	_2embne _9139227 _aEcuaciones diferenciales
650		7	_2embne _9157537 _aAnálisis espacial (Estadística)
700	1		_aSchiesser, William E. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9670222
776	0	8	_iPrinted edition: _z9783031002588
776	0	8	_iPrinted edition: _z9783031012846
776	0	8	_iPrinted edition: _z9783031035401
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-02412-2 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b05/2023 _dz _eIG _zSI