numerical solution of the one dimensional non-linear burgers equation using the adomian decomposition method and the comparison between the modified local crank-nicolson method and the vim exact ‎solution

نویسندگان

ar. haghighi

m. shojaeifard

چکیده

the burgers’ equation is a simplified form of the navier-stokes equations that very well represents their non-linear features. in this paper, numerical methods of the adomian decomposition and the modified crank – nicholson, used for solving the one-dimensional burgers’ equation, have been compared. these numerical methods have also been compared with the analytical method. in contrast to the conventional crank-nicolson method, the mlcn method is an explicit and unconditionally stable method. the adomian decomposition method includes the unknown function u (x), in which each equation is defined and solved by an infinite series of unbounded functions. velocity parameters u in the direction of the x axis, are examined at different times with different reynolds numbers over a fixed time step. also the accuracy of the adomian and the crank-nicolson methods at different reynolds numbers have been studied using two examples with different initial conditions, and the adomian decomposition method is closer to the analytical ‎method.‎

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Numerical solution of the one dimensional non-linear Burgers equation using the Adomian decomposition method and the comparison between the modified Local Crank-Nicolson method and the VIM exact ‎solution

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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 2 2015

میزبانی شده توسط پلتفرم ابری doprax.com

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