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|Title:||Numerical solutions of fourth-order fractional sub-diffusion problems via parametric quintic spline||Authors:||Li, Xuhao
Wong, Patricia Jia Yiing
|Keywords:||Engineering::Electrical and electronic engineering||Issue Date:||2019||Source:||Li, X. & Wong, P. J. Y. (2019). Numerical solutions of fourth-order fractional sub-diffusion problems via parametric quintic spline. ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 99(5), e201800094-. https://dx.doi.org/10.1002/zamm.201800094||Journal:||ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik||Abstract:||In this paper, we develop a numerical scheme for a fourth-order fractional sub-diffusion problem using parametric quintic spline and a non-uniform approximation for Caputo fractional derivatives. The solvability, convergence and stability of the scheme are established in maximum norm, and it is shown that the convergence order is higher than some earlier work done. Four numerical experiments are further carried out to demonstrate the efficiency of the proposed scheme as well as to compare with other methods.||URI:||https://hdl.handle.net/10356/152697||ISSN:||0044-2267||DOI:||10.1002/zamm.201800094||Rights:||© 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. All rights reserved.||Fulltext Permission:||none||Fulltext Availability:||No Fulltext|
|Appears in Collections:||EEE Journal Articles|
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