Abstract
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.
Export citation and abstract BibTeX RIS
ERRATA in Kaur et al (2019)
- (a)
- (b)Equations (3.14)–(3.16) should read:
Equation (3.14) gives the general form of the function ck(m, n) for election function a(m) = m, binary breakage k(m, n) = 2/n with mono disperse initial condition u0(m) = δ(m − a) [the first two terms for k = 0 and k = 1 are shown as equations (3.12) and (3.13) and can be seen to agree with he corrected (3.14)]. Equation (3.15) is the summation of ck(m, n) over all k. Equation (3.16) is the closed-form result of that summation. - (c)
- (d)Equation (3.27)The typo is in the part of the equation after the '→'.
