@article{article_755721, title={A Comparative Study of the Numerical Approximations of the Quenching Time for a Nonlinear Reaction-Diffusion Equation}, journal={Fundamental Journal of Mathematics and Applications}, volume={3}, pages={144–152}, year={2020}, DOI={10.33401/fujma.755721}, author={Jones, Frederick and Yang, He}, keywords={Cubic B-spline collocation method, Finite difference method, Local discontinuous Galerkin method, Reaction-diffusion equation, Quenching time}, abstract={<div style="text-align:justify;"> <span style="font-size:14px;">In this paper, we study the numerical methods for solving a nonlinear reaction-diffusion model for the polarization phenomena in ionic conductors. In particular, we propose three types of numerical methods, including the finite difference, cubic B-spline collocation, and local discontinuous Galerkin method, to approximate the quenching time of the model. We prove the conservation properties for all three numerical methods and compare their numerical performance. </span> </div>}, number={2}, publisher={Fuat USTA}