Approximate Solution of Time-Fractional Helmholtz and Coupled Helmholtz Equations
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, sa.4, ss.575-586, 2020 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2020
- Doi Numarası: 10.26713/cma.v11i4.1370
- Dergi Adı: COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.575-586
- Kocaeli Üniversitesi Adresli: Evet
Özet
The approximate analytical solution of the time-fractional Helmholtz and coupled Helmholtz equations have been acquired successfully via Residual Power Series Method (RPSM). The approximate solutions obtained by RPSM are compared with the exact solutions through different graphics and tables. The fractional derivatives are described in the Caputo sense. The numerical results demonstrate that the new method is quite accurate and readily implemented.