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Fueled by many applications in random processes, imaging science, geophysics, etc., fractional Laplacians have recently received significant attention. The key driving force behind the success of this operator is its ability to capture non-local effe
Externí odkaz:
http://arxiv.org/abs/2010.06509
Publikováno v:
Mathematical Modelling and Analysis 2018
To broaden the range of applicability of variable-order fractional differential models, reliable numerical approaches are needed to solve the model equation. In this paper, we develop Laguerre spectral collocation methods for solving variable-order f
Externí odkaz:
http://arxiv.org/abs/1804.01198
Fueled by many applications in random processes, imaging science, geophysics, etc., fractional Laplacians have recently received significant attention. The key driving force behind the success of this operator is its ability to capture non-local effe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68119521f681c73a3ac7440a9ad47658
Autor:
A.G. Atta
This research aims to analyze and implement two numerical spectral schemes for solving linear and nonlinear time fractional Cable equations (TFCEs). Two modified sets of shifted Gegenbauer polynomials (SGPs) are used as basis functions. The approxima
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f4ec5f1b878d1b619fb8c2c67ed0bfe0
https://doi.org/10.21203/rs.3.rs-2972455/v1
https://doi.org/10.21203/rs.3.rs-2972455/v1
Autor:
HANERT, EMMANUEL, PIRET, CECILE
Publikováno v:
SIAM Journal on Scientific Computing; 2014, Vol. 36 Issue 4, pA1797-A1812, 16p
