Abstract
In this paper, the homotopy perturbation method (HPM) is employed to obtain approximate analytical solutions of the time-fractional reaction-diffusion equation of the Fisher type. The method can easily be applied to many problems and is capable of reducing the size of computational work. The fractional derivative is described in the Caputo sense. The analytical/numerical results are compared with existing analytic solutions obtained by Adomian decomposition method (ADM) and differential transformation method (DTM) and the outcomes confirm that the scheme yields accurate and excellent results even when few components are used. Key words: Fisher equation, diffusion, reaction, fractional partial differential equations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
