In this study, the Aboodh transform homotopy perturbation method has been used to solve fractional differential equations. The Swift–Hohenberg equation accurately explains the creation and evolution of patterns in a wide range of systems. The Swift-Hohenberg (S-H) model is linked to fluid dynamics, temperature, and thermal convection. The problem's convergence analysis is displayed. All of the Surface representation graphs are also represented using MAPLE. ATHPM solution has been compared with the exact solution and LADM to check the accuracy of the proposed method.
Jani, H. P. & Singh, T. R. (2023). Solution of time fractional Swift-Hohenberg equation by Aboodh transform homotopy perturbation method. International Journal of Nonlinear Analysis and Applications, 14(1), 1005–1013. https://doi.org/10.22075/ijnaa.2022.27904.3754
MLA
Jani, H. P., & Singh, T. R. "Solution of time fractional Swift-Hohenberg equation by Aboodh transform homotopy perturbation method", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 1005–1013. doi: 10.22075/ijnaa.2022.27904.3754
HARVARD
Jani, H. P., & Singh, T. R. (2023). 'Solution of time fractional Swift-Hohenberg equation by Aboodh transform homotopy perturbation method', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 1005–1013. doi: 10.22075/ijnaa.2022.27904.3754
CHICAGO
Jani, H. P. & Singh, T. R, "Solution of time fractional Swift-Hohenberg equation by Aboodh transform homotopy perturbation method." International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 1005–1013, doi: 10.22075/ijnaa.2022.27904.3754
VANCOUVER
Jani H. P., Singh T. R. Solution of time fractional Swift-Hohenberg equation by Aboodh transform homotopy perturbation method. IJNAA. 2023;14(1):1005–1013. doi: 10.22075/ijnaa.2022.27904.3754
International Journal of Nonlinear Analysis and Applications