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Similarity Solutions to Nonlinear Diffusion/Harry Dym Fractional Equations

Author

Listed:
  • Chao Yue
  • Guijuan Liu
  • Kun Li
  • Hanhui Dong

Abstract

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.

Suggested Citation

  • Chao Yue & Guijuan Liu & Kun Li & Hanhui Dong, 2021. "Similarity Solutions to Nonlinear Diffusion/Harry Dym Fractional Equations," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-6, February.
    • Handle: RePEc:hin:jnlamp:6670533
    DOI: 10.1155/2021/6670533
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