• R. Karthikeyan
• Dr. A. P. Dhanabalan
• Dr. M. Rasi
• Dr. L. Rajendran

Modelling of microalgal growth for biofuel production is discussed. The model proposed herein is a dynamical model of microalgal lipid production under nutrient limitation. In this paper, approximate analytical expressions for the concentration of nitrate (substrate), biomass and quotas of lipid, sugar, functional are obtained for all values of the parameters using a new Homotopy perturbation method (HPM). Numerical solutions have also been presented in order to explain the behavior of the system. A comparative study of the approximate analytical solution with numerical solution and experimental data confirm that the proposed model is consistent in the region of approximation.

Biofuel; mathematical modelling; non-linear equations; microalgal production; HPM.

"MATHEMATICAL ANALYSIS OF DYNAMICAL MODEL OF MICROALGAL GROWTH FOR BIOFUEL PRODUCTION", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.59-72, February-2019, Available :http://www.jetir.org/papers/JETIR1902308.pdf

"MATHEMATICAL ANALYSIS OF DYNAMICAL MODEL OF MICROALGAL GROWTH FOR BIOFUEL PRODUCTION", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp59-72, February-2019, Available at : http://www.jetir.org/papers/JETIR1902308.pdf