On the solution of double-diffusive convective flow due to a cone by a linearization method
type: Item
instance of: scholarly article
title: On the solution of double-diffusive convective flow due to a cone by a linearization method
zbMATH Open document ID: 1235.76089
DOI: 10.1155/2012/587357
author: M. Narayana
author: P. Sibanda
published in: Journal of Applied Mathematics
publication date: 2012-04-04T00:00:00Z
review text: Summary: The paper details the use of a nonperturbation successive linearization method to solve the coupled nonlinear boundary value problem due to double-diffusive convection from an inverted cone. Diffusion-thermo and thermal-diffusion 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-order deformation equations using spectral methods. The results are compared with the limited cases from previous studies and results obtained using the Matlab inbuilt bvp4c numerical algorithm and a shooting technique that uses Runge-Kutta-Fehlberg (RKF45) and Newton-Raphson 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.
Mathematics Subject Classification ID: 76M15
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 76R10
zbMATH DE Number: 6021716
Wikidata QID: Q58906192
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/587357
OpenAlex ID: W2001206513
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DBLP publication ID: journals/jam/NarayanaS12
description: scientific article; zbMATH DE number 6021716