Open AccessOn Analytical Solution of Time-Fractional Type Model of the Fisher’s Equation
Author(s) -
Shaheed N. Huseen
Publication year - 2020
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2020.61.6.20
Subject(s) - laplace transform , mathematics , homotopy analysis method , type (biology) , economic shortage , homotopy , exact solutions in general relativity , laplace's equation , laplace transform applied to differential equations , mathematical analysis , pure mathematics , partial differential equation , ecology , linguistics , philosophy , government (linguistics) , biology
In this paper, the time-fractional Fisher’s equation (TFFE) is considered to exam the analytical solution using the Laplace q-Homotopy analysis method (Lq-HAM)â€. The Lq-HAM is a combined form of q-homotopy analysis method (q-HAM) and Laplace transform. The aim of utilizing the Laplace transform is to outdo the shortage that is mainly caused by unfulfilled conditions in the other analytical methods. The results show that the analytical solution converges very rapidly to the exact solution.