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Diffusion\u2010thermo and thermal\u2010diffusion effects have been taken into account. The governing partial differential equations are transformed into ordinary differential equations using a suitable similarity transformation. The SLM is based on successively linearizing the governing nonlinear boundary layer equations and solving the resulting higher\u2010order deformation equations using spectral methods. The results are compared with the limited cases from previous studies and results obtained using the Matlab inbuilt <jats:styled-content>bvp4c<\/jats:styled-content> numerical algorithm and a shooting technique that uses Runge\u2010Kutta\u2010Fehlberg (RKF45) and Newton\u2010Raphson schemes. These comparisons reveal the robustness and validate the usage of the linearisation method technique. The results show that the nonperturbation technique in combination with the Chebyshev spectral collocation method is an efficient numerical algorithm with assured convergence that serves as an alternative to numerical methods for solving nonlinear boundary value problems.<\/jats:p>","DOI":"10.1155\/2012\/587357","type":"journal-article","created":{"date-parts":[[2012,2,7]],"date-time":"2012-02-07T21:01:28Z","timestamp":1328648488000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["On the Solution of Double\u2010Diffusive Convective Flow due to a Cone by a Linearization Method"],"prefix":"10.1155","volume":"2012","author":[{"given":"Mahesha","family":"Narayana","sequence":"first","affiliation":[]},{"given":"Precious","family":"Sibanda","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,2,7]]},"reference":[{"key":"e_1_2_11_1_2","first-page":"269","volume-title":"Handbook of Porous Media","author":"Mojtabi A.","year":"2005"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1111\/j.2153-3490.1960.tb01295.x"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112069001066"},{"key":"e_1_2_11_4_2","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1029\/WR004i003p00553","article-title":"Onset of thermohaline convection in a porous medium","volume":"5","author":"Nield D. 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