@article{(Open Science Index):https://publications.waset.org/pdf/10005661,
	  title     = {A Numerical Method for Diffusion and Cahn-Hilliard Equations on Evolving Spherical Surfaces},
	  author    = {Jyh-Yang Wu and  Sheng-Gwo Chen},
	  country	= {},
	  institution	= {},
	  abstract     = {In this paper, we present a simple effective numerical geometric method to estimate the divergence of a vector field over a curved surface. The conservation law is an important principle in physics and mathematics. However, many well-known numerical methods for solving diffusion equations do not obey conservation laws. Our presented method in this paper combines the divergence theorem with a generalized finite difference method and obeys the conservation law on discrete closed surfaces. We use the similar method to solve the Cahn-Hilliard equations on evolving spherical surfaces and observe stability results in our numerical simulations.},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {10},
	  number    = {11},
	  year      = {2016},
	  pages     = {551 - 559},
	  ee        = {https://publications.waset.org/pdf/10005661},
	  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},
	}