dirichlet series and approximate analytical solutions of mhd flow over a linearly stretching ‎sheet

نویسندگان

vishwanath b. ‎awati‎

mahesh kumar ‎n‎

krishna b. ‎chavaraddi‎

چکیده

the paper presents the semi-numerical solution for the magnetohydrodynamic (mhd) viscous flow due to a stretching sheet caused by boundary layer of an incompressible viscous flow. the governing partial differential equations of momentum equations are reduced into a nonlinear ordinary differential equation (node) by using a classical similarity transformation along with appropriate boundary conditions. both nonlinearity and infinite interval demand novel the mathematical tools for their analysis. the solution of the resulting third order nonlinear boundary value problem with an infinite interval is obtained using fast converging dirichlet series method and approximate analytical method viz. method of stretching of variables. these methods have the advantages over pure numerical methods for obtaining the derived quantities accurately for various values of the parameters involved at a stretch and they are valid in much larger parameter domain as compared with  ham, hpm, adm and the classical numerical schemes. also, these methods require less computer memory space as compared with pure numerical ‎methods.‎

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عنوان ژورنال:
international journal of industrial mathematics

ناشر: science and research branch, islamic azad university, tehran, iran

ISSN 2008-5621

دوره 7

شماره 4 2015

میزبانی شده توسط پلتفرم ابری doprax.com

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