The Solution of Fractional Wave Equation by using Modified Trial Equation Method and Homotopy Analysis Method

• Published in: AIP Conference Proceedings,
• Main Authors: Kocak, Zeynep Fidan, Bulut, Hasan, Yel, Gulnur
• Other Authors: MÜ
• Format: Conference Object
• Language: English
• Published: Amer Inst Physics 2014
• Subjects: Fractional Wave Equation; Homotopy Analysis Method; The Modified Trial Equation Method; Norway; Esrange; Narvik; Lulea; Luossavaara; Nordland
• Online Access: https://hdl.handle.net/20.500.12809/3559; https://doi.org/10.1063/1.4904617

10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA) - JUL 15-18, 2014 - Narvik Univ Coll, Narvik, NORWAY BULUT, Hasan/0000-0002-6089-1517 WOS: 000347812200060 In this study, we applied the Homotopy Analysis method to the nonlinear fractional wave equation. Then, we executed a comparison between analytical solution obtained by using Modified Trial Equation method and approximate solution obtained via Homotopy Analysis method. Finally, we investigated errors analysis by drawing 3D and 2D graphics of the solution of fractional wave equation for different value of alpha. Amer Inst Aeronaut & Astronaut, Int Federat Informat Proc, Amer Inst Phys, Int Federat Nonlinear Analysts, Lulea Univ Technol, No Res Inst Narvik, Luossavaara Kiirunavaara AB, Nordland Fylkeskommune, Narvik Kommune, Destinasjon Narvik, Heat Work AS, Esrange Rocket Station