@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},
	}