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Solving Time-Fractional Parabolic Equations with the Four Point-HSEGKSOR Iteration

机译:用四点 - Hsegksor迭代解决时间分数抛物型方程

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The goal is to show the usefulness of the 4-point half-sweep EGKSOR (4HSEGKSOR) iterative scheme by implementing the half-sweep approximation equation based on the Gruenwald-type fractional derivative and implicit finite difference (IFD) method to solve one-dimensional (ID) time-fractional parabolic equations compared to full-sweep Kaudd Successive over-relaxation (FSKSOR) and half-sweep Kaudd Successive over-relaxation (HSKSOR) methods. The formulation and implementation of the 4HSEGKSOR, HSKSOR and FSKSOR methods are also presented. Some numerical tests were carried out to illustrate that the 4HSEGKSOR method is superior to HSKSOR and FSKSOR methods.
机译:目标是通过基于Gruenwald型分数衍生物和隐含有限差(IFD)方法来阐明4点半扫描EGKSOR(4HSEGKSOR)迭代方案的有用性来实现半扫描近似方案以解决一维的方法 (ID)时间分形抛物面方程与全扫kaudd连续过度放松(FSKSOR)和半扫描的连续过度放松(HSKSOR)方法相比。 还提出了4HSEGKSOR,HSKSOR和FSKOR方法的制定和实施。 进行了一些数值测试以说明4HSEGKSOR方法优于HSKSOR和FSKOROR方法。

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