Numerical inverse Laplace homotopy technique for fractional heat equations | Zendy

Mehmet Yavuz | Zendy; Necati Özdemir | Zendy

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Numerical inverse Laplace homotopy technique for fractional heat equations

Author(s) -

Mehmet Yavuz,

Necati Özdemir

Publication year - 2017

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci170804285y

Subject(s) - laplace transform , inverse laplace transform , homotopy analysis method , mathematics , homotopy , homotopy perturbation method , fractional calculus , laplace transform applied to differential equations , inverse , laplace's equation , mathematical analysis , green's function for the three variable laplace equation , perturbation (astronomy) , two sided laplace transform , partial differential equation , physics , pure mathematics , fourier transform , geometry , fractional fourier transform , fourier analysis , quantum mechanics

In this paper, we have aimed the numerical inverse Laplace homotopy technique for solving some interesting 1-D time-fractional heat equations. This method is based on the Laplace homotopy perturbation method, which is combined form of the Laplace transform and the homotopy perturbation method. Firstly, we have applied to the fractional 1-D PDE by using He’s polynomials. Then we have used Laplace transform method and discussed how to solve these PDE by using Laplace homotopy perturbation method. We have declared that the proposed model is very efficient and powerful technique in finding approximate solutions to the fractional PDE.

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