A new efficient technique for solving fractional coupled Navier–Stokes equations using q-homotopy analysis transform method

Pramana: Journal of physics

D G PRAKASHA^2¹  P VEERESHA^2²  AMIT PRAKASH^1³ 

[1] Department of Mathematics, IAH, GLA University, Mathura 281 406, India^3;Department of Mathematics, Karnataka University, Dharwad 580 003, India^2;Department of Mathematics, National Institute of Technology, Kurukshetra 136 119, India^1

关键词: Navier–Stokes equations;    q-homotopy analysis transform method;    Caputo fractional derivative;    Laplace transform;    homotopy analysis method;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, a solution of coupled fractional Navier–Stokes equation is computed numerically using the proposed q-homotopy analysis transform method (q-HATM), and the solution is found in fast convergent series.The given test examples illustrate the leverage and effectiveness of the proposed technique. The obtained results are demonstrated graphically. The present method handles the series solution in a large admissible domain in an extreme manner. It offers us a modest way to adjust the convergence region of the solution. Results with graphs explicitly reveal the efficiency and capability of the proposed algorithm.

【 授权许可】

CC BY