Approximate Solution of Time-Fractional Helmholtz and Coupled Helmholtz Equations

BAYRAK, MİNE; Tetik, Semiha

doi:10.26713/cma.v11i4.1370

Approximate Solution of Time-Fractional Helmholtz and Coupled Helmholtz Equations

BAYRAK M. A., Tetik S.

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.