文章基本信息

标题：Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations
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作者：Muhammad Amin ; Muhammad Abbas ; Muhammad Kashif Iqbal 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-22
DOI：10.1186/s13662-019-2125-1
出版社：Hindawi Publishing Corporation
摘要：This paper presents a novel approach to numerical solution of a class of fourth-order time fractional partial differential equations (PDEs). The finite difference formulation has been used for temporal discretization, whereas the space discretization is achieved by means of non-polynomial quintic spline method. The proposed algorithm is proved to be stable and convergent. In order to corroborate this work, some test problems have been considered, and the computational outcomes are compared with those found in the exiting literature. It is revealed that the presented scheme is more accurate as compared to current variants on the topic.
关键词：Non-polynomial quintic spline ; Backward Euler method ; Time fractional partial differential equation ; Caputo fractional derivative