High order numerical methods for fractional differential equations
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Yanping Chen
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South China Normal University
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Peoples Rep of China
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Chuanju Xu
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Xiamen University
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Peoples Rep of China
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Abstract:
| | In recent decades, fractional differential equations are attracting increasing attention as a tool in modeling the phenomenon related to non-locality and spatial heterogeneity. And high order numerical methods can provide very accurate results for solving fractional differential equations. However, high order methods often present difficulties in analysis and calculation. For example, high order methods often produce linear equations that are more difficult to solve than the corresponding lower order methods. Moreover, for general problems, the stability and convergence of high order methods are also difficult to obtain. Therefore, it is very important to develop high order but efficient numerical methods.
The purpose of this special session is to collect some numerical analysis and scientific computing scholars engaged in research on high order approximation methods for fractional differential equations, they will show their recent achievements in algorithm design and analysis, including: high precision and high efficiency calculation and post-processing of finite element method, development and analysis of spectral method and spectral element method, etc. |
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