@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}, }