Reply to Comment on 'Analytical approach for solving population balances: A homotopy perturbation method' (2019) J. Phys. A: Math. Theor. 52 385201

Fernández (2020) has found a number of serious typos in Kaur et al (2019) that must be corrected. A list of corrections is enumerated below. All of these are typographical mistakes in the transcription of the equations and have no bearing on the results or conclusions of the work. Once the typos are corrected the only point remaining to address in the comment by Fernández (2020) is the connection between the homotopy perturbation method (HPM) and the Taylor series approach. Indeed we have acknowledged this relationship in Kaur et al (2019) (see discussion, section 5) and have cited several references to that effect, including Melzak (1957a,1957b), Lushnikov (1973) and Song and Poland (1992). In Kaur et al (2019) we offer HPM as an alternative to the series expansion method, apply it to initial conditions other than monodisperse, and present a number of new solutions that have not been reported in the previously literature.