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Numerical Methods for Solving BBM Type Viscous Fractional Equation(PDF)

《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

Issue:
2018年04期
Page:
19-
Research Field:
·数学与计算机科学·
Publishing date:

Info

Title:
Numerical Methods for Solving BBM Type Viscous Fractional Equation
Author(s):
Zhang Jun
School of Mathematics and Statistical,Guizhou University of Finance and Economics,Guiyang 550025,China
Keywords:
fractional equationunconditionally stableerror estimatesspectral method
PACS:
O156.5
DOI:
10.3969/j.issn.1001-4616.2018.04.004
Abstract:
In this paper,two numerical schemes for solving BBM type viscous fractional equation are constructed. We analyze the stability and error estimates of the two schemes,a rigorous analysis shows that the proposed schemes are unconditionally stable,and the convergence of two schemes are convergent with order O(Δt3/2+N1-m),numerical results are consistent with the known theoretical prediction.

References:

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Last Update: 2018-12-30