Approximate Solution of Time-Fractional Helmholtz and Coupled Helmholtz Equations

Authors

  • Mine Aylin Bayrak Department of Mathematics, Kocaeli University, Izmit, Kocaeli
  • Semiha Tetik Department of Mathematics, Kocaeli University, Izmit, Kocaeli

DOI:

https://doi.org/10.26713/cma.v11i4.1370

Keywords:

Residual power series method, Time-fractional Helmholtz equation, Caputo derivative, Mittag-Leffler function

Abstract

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.

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Published

31-12-2020
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How to Cite

Bayrak, M. A., & Tetik, S. (2020). Approximate Solution of Time-Fractional Helmholtz and Coupled Helmholtz Equations. Communications in Mathematics and Applications, 11(4), 575–586. https://doi.org/10.26713/cma.v11i4.1370

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Research Article