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A smooth, strictly monotonic transformation\nis used to map the semi\u2010infinite domain <jats:italic>x<\/jats:italic> \u2208 [0, <jats:italic>\u221e<\/jats:italic>) onto a half\u2010open interval <jats:italic>t<\/jats:italic> \u2208 [\u22121, 1). The resulting finite\u2010domain two\u2010point boundary value problem is transcribed to a system of algebraic equations using Chebyshev\u2010Gauss (CG) collocation, while the resulting initial\nvalue problem over a finite domain is transcribed to a system of algebraic equations using Chebyshev\u2010Gauss\u2010Radau (CGR) collocation. In numerical experiments, the tuning of the map <jats:italic>\u03d5<\/jats:italic> : [\u22121, +1)\u2192[0, +<jats:italic>\u221e<\/jats:italic>) and its effects on the quality of the discrete approximation are analyzed.<\/jats:p>","DOI":"10.1155\/2012\/696574","type":"journal-article","created":{"date-parts":[[2012,5,14]],"date-time":"2012-05-14T21:04:27Z","timestamp":1337029467000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Analysis of IVPs and BVPs on Semi\u2010Infinite Domains via Collocation Methods"],"prefix":"10.1155","volume":"2012","author":[{"given":"Mohammad","family":"Maleki","sequence":"first","affiliation":[]},{"given":"Ishak","family":"Hashim","sequence":"additional","affiliation":[]},{"given":"Saeid","family":"Abbasbandy","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,5,14]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9590.01411"},{"key":"e_1_2_6_2_2","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1115\/1.4011542","article-title":"Unsteady flow of gas through a semi-infinite porous medium","volume":"24","author":"Kidder R. 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