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A reliable numerical method for solving fractional reaction-diffusion equations
Journal of King Saud University-Science ( IF 3.8 ) Pub Date : 2020-12-29 , DOI: 10.1016/j.jksus.2020.101320
Supriya Yadav , Devendra Kumar , Kottakkaran Sooppy Nisar

The present work aims to solve the fractional reaction–diffusion equation (RDE) using an effective and powerful hybrid analytical scheme, namely q-HASTM. The suggested technique is the combination of Sumudu transform (ST) and HAM technique. The definition of Caputo's fractional derivative has used. The numerical procedure reveals that only few iterations are needed for better approximation of the solution which illustrate the competence and sincerity of the suggested scheme. The impact of the reaction term in the solution of the problem explained through the graph.



中文翻译:

求解分数阶反应扩散方程的可靠数值方法

本工作旨在使用有效且强大的混合分析方案q-HASTM解决分数反应扩散方程(RDE)。建议的技术是Sumudu变换(ST)和HAM技术的组合。使用了Caputo的分数导数的定义。数值过程表明,只需很少的迭代就可以更好地逼近解,从而说明了所建议方案的能力和诚意。通过图表说明了反应项对解决问题的影响。

更新日期:2021-01-16
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