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Convergence analysis and error estimates are presented for the numerical solutions based on the spectral method for the space and the implicit Euler method for the time. Numerical experiments are carried out to illustrate the theoretical analysis.<\/jats:p>","DOI":"10.1155\/2012\/808216","type":"journal-article","created":{"date-parts":[[2012,10,2]],"date-time":"2012-10-02T23:51:14Z","timestamp":1349221874000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["The Spectral Method for the Cahn\u2010Hilliard Equation with Concentration\u2010Dependent Mobility"],"prefix":"10.1155","volume":"2012","author":[{"given":"Shimin","family":"Chai","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongkui","family":"Zou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,10,2]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00276132"},{"key":"e_1_2_6_2_2","series-title":"Mathematics and Its Applications","first-page":"23","volume-title":"Disequilibrium and Self-Organisation (Klosterneuburg, 1983\/Windsor, 1985)","author":"Hazewinkel M.","year":"1986"},{"key":"e_1_2_6_3_2","series-title":"Oxford Applied Mathematics and Computing Science Series","volume-title":"Mathematical Models in Applied Mechanics","author":"Tayler A. 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