Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations

被引：0
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作者：
Muhammad Amin
Muhammad Abbas
Muhammad Kashif Iqbal
Dumitru Baleanu
机构：
[1] National College of Business Administration & Economics,Department of Mathematics
[2] University of Sargodha,Department of Mathematics
[3] Government College University,Department of Mathematics
[4] Cankaya University,Department of Mathematics, Faculty of Arts and Sciences
来源：
Advances in Difference Equations | / 2019卷
关键词：
Non-polynomial quintic spline; Backward Euler method; Time fractional partial differential equation; Caputo fractional derivative;
D O I：
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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.
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