%0 Journal Article
	%A Jyh-Yang Wu and  Sheng-Gwo Chen
	%D 2016
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 119, 2016
	%T A Numerical Method for Diffusion and Cahn-Hilliard Equations on Evolving Spherical Surfaces
	%U https://publications.waset.org/pdf/10005661
	%V 119
	%X 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.
	%P 551 - 559