@article{(Open Science Index):https://publications.waset.org/pdf/10005660, title = {A Study of Numerical Reaction-Diffusion Systems on Closed Surfaces}, author = {Mei-Hsiu Chi and Jyh-Yang Wu and Sheng-Gwo Chen}, country = {}, institution = {}, abstract = {The diffusion-reaction equations are important Partial Differential Equations in mathematical biology, material science, physics, and so on. However, finding efficient numerical methods for diffusion-reaction systems on curved surfaces is still an important and difficult problem. The purpose of this paper is to present a convergent geometric method for solving the reaction-diffusion equations on closed surfaces by an O(r)-LTL configuration method. The O(r)-LTL configuration method combining the local tangential lifting technique and configuration equations is an effective method to estimate differential quantities on curved surfaces. Since estimating the Laplace-Beltrami operator is an important task for solving the reaction-diffusion equations on surfaces, we use the local tangential lifting method and a generalized finite difference method to approximate the Laplace-Beltrami operators and we solve this reaction-diffusion system on closed surfaces. Our method is not only conceptually simple, but also easy to implement.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {10}, number = {11}, year = {2016}, pages = {543 - 550}, ee = {https://publications.waset.org/pdf/10005660}, url = {https://publications.waset.org/vol/119}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 119, 2016}, }