Abstract
In this chapter, the basic concept of homotopy perturbation method (HPM) is first discussed. Further, this method is used to address two problems, viz. linear fractional one-dimensional heat-like equation and nonlinear fractional advection equation. The test problems used in this chapter show that the HPM is an effective method for solving linear/nonlinear fractional differential equations. Usually, the series converges with an increase in terms, but the compact form of solution cannot always be expected, similar to Adomian decomposition method (ADM) and Adomian decomposition transform method (ADTM).
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.
