A new mathematical modelling using Homotopyperturbation method to solve nonlinear equations in enzymatic glucose fuel cells.

Saranya, J.; Rajendran, L.; Wang, L.; Fernandez, C.

Abstract

For the first time a mathematical modelling of the enzymatic glucose membraneless fuel cell with direct electron transfer has been reported. The niche of this mathematical modelling is the description of the new Homotopy perturbation method to solve the nonlinear differential equations that describes glucose concentration and hydrogen ions respectively. The analytical results of an enzymatic fuel cell should be used, while developing fuel cell, to estimate its various kinetic parameters to attain the highest power value. Our analytical results are compared with limiting case results and satisfactory agreement is noted. The influence of parameters on the concentrations are discussed

Citation

SARANYA, J., RAJENDRAN, L., WANG, L. and FERNANDEZ, C. 2016. A new mathematical modelling using Homotopyperturbation method to solve nonlinear equations in enzymatic glucose fuel cells. Chemical physics letters [online], 662, pages 317-326. Available from: https://doi.org/10.1016/j.cplett.2016.09.056

• Journal Article Type: Article
• Acceptance Date: Sep 20, 2016
• Online Publication Date: Sep 26, 2016
• Publication Date: Oct 1, 2016
• Deposit Date: Feb 22, 2018
• Publicly Available Date: Feb 22, 2018
• Journal: Chemical physics letters
• Print ISSN: 0009-2614
• Electronic ISSN: 1873-4448
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 662
• Pages: 317-326
• DOI: https://doi.org/10.1016/j.cplett.2016.09.056
• Keywords: Mathematical modelling; Nonlinear differential equation; Enzyme; Biofuel cell; New Homotopy perturbation method
• Public URL: http://hdl.handle.net/10059/2775