Solution of time fractional Swift-Hohenberg equation by Aboodh transform homotopy perturbation method
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 119
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شناسه ملی سند علمی:
JR_IJNAA-14-1_077
تاریخ نمایه سازی: 5 شهریور 1402
چکیده مقاله:
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.
کلیدواژه ها:
Swift Hohenberg (S-H) equation ، Fractional differential equation ، Aboodh transform ، Homotopy perturbation method
نویسندگان
Haresh Jani
Shri S&#۰۳۹;ad Vidya Mandal Institute of Technology, Bharuch-۳۹۲۰۰۱ (Gujarat), India
Twinkle Singh
Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat-۳۹۵۰۰۷ (Gujarat), India