Comment on “He-Laplace variational iteration method for solving the nonlinear equations arising in chemical kinetics and population dynamics”

• Autores: Fernández, Francisco Marcelo
• Año de publicación: 2022
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: VARIATIONAL ITERATION METHOD; TAYLOR SERIES; TEXTBOOK POWER-SEREIES METHOD; CHEMICAL KINETICS
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

In this Comment we argue that the so-called He-Laplace variational iteration method merely yields the Taylor series of the solution to a partial differential equation. The straightforward application of the textbook power series method is far simpler and more efficient because it gives us closed-form analytic recurrence relations for the expansion coefficients. We also argue that the time series of the solution is unsuitable for the analysis of nonlinear problems in chemical kinetics and population dynamics which require expressions valid for sufficiently large time. Besides, Nadeem and He (J Math Chem 59:1234–1245, 2021) applied the approach to some tailor-made toy problems with known exact solutions that do not appear to exhibit any physical application whatsoever.
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina