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Similarity Solutions to Nonlinear Diffusion/Harry Dym Fractional Equations
Advances in Mathematical Physics ( IF 1.0 ) Pub Date : 2021-02-23 , DOI: 10.1155/2021/6670533
Chao Yue 1 , Guijuan Liu 1 , Kun Li 1 , Hanhui Dong 1
Affiliation  

By using scalar similarity transformation, nonlinear model of time-fractional diffusion/Harry Dym equation is transformed to corresponding ordinary fractional differential equations, from which a travelling-wave similarity solution of time-fractional Harry Dym equation is presented. Furthermore, numerical solutions of time-fractional diffusion equation are discussed. Again, through another similarity transformation, nonlinear model of space-fractional diffusion/Harry Dym equation is turned into corresponding ordinary differential equations, whose two similarity solutions are also worked out.

中文翻译:

非线性扩散/哈里动力分数阶方程的相似解

通过标量相似变换,将时间分数阶扩散/ Harry Dym方程的非线性模型转换为相应的常分数阶微分方程,从中给出了时间分数分数Harry Dym方程的行波相似解。此外,讨论了时间分数阶扩散方程的数值解。再次,通过另一次相似性变换,将空间分数扩散/ Harry Dym方程的非线性模型转换为相应的常微分方程,并求解了它们的两个相似性解。
更新日期:2021-02-23
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