Numerical solutions for nonlinear partial differential equations arising from modelling dye-sensitized solar cells

Title: Numerical solutions for nonlinear partial differential equations arising from modelling dye-sensitized solar cells
Creator: Maldon, Benjamin James; Lamichhane, Bishnu Prasad; Thamwattana, Natalie
Relation: 18th Computational Techniques and Applications Conference. Proceedings of the 18th Computational Techniques and Applications Conference, Vol. 60 (Newcastle, NSW 27-11-2018) p. C231-C246
Publisher Link: http://dx.doi.org/10.21914/anziamj.v60i0.14053
Publisher: ANZIAM Journal
Resource Type: conference paper
Date: 2019
Description: Dye-sensitized solar cells have generated diverse research directions, which include a mathematical model based on the diffusion of electrons in the conduction band of a nano-porous semiconductor (traditionally TiO2). We solve the nonlinear diffusion equation under its boundary conditions, as stated by Anta et al. [J. Phys. Chem. B 110 (2006) pp 5372–5378]. We employ a standard finite difference method, a fourth order finite difference method scheme and a Runge–Kutta scheme. We calculate errors and evaluate the utility of each scheme as it applies to this boundary value problem.
Subject: finite difference method; partial differential equation; boundary conditions; numerical solutions
Identifier: http://hdl.handle.net/1959.13/1477864
Identifier: uon:50045
Language: eng
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