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   a new total variation diminishing implicit nonstandard finite difference scheme for conservation laws  
نویسنده mehdizadeh khalsaraei mohammad ,khodadosti f.
منبع computational methods for differential equations - 2014 - دوره : 2 - شماره : 2 - صفحه:91 -98
فایل تمام متن
چکیده    in this paper, a new implicit nonstandard finite difference scheme for conservation laws, which preserving the property of tvd (total variation diminishing) of the solution, is proposed. this scheme is derived by using nonlocal approximation for nonlinear terms of partial differential equation. schemes preserving the essential physical property of tvd are of great importance in practice. such schemes are free of spurious oscillations around discontinuities. numerical results for burger's equation is presented. comparison of numerical results with a classical difference scheme is given.
کلیدواژه nonstandard finite difference scheme ,total variation diminishing ,conservation law ,nonlocal approximation
آدرس university of maragheh, faculty of mathematical science, iran, university of maragheh, faculty of mathematical science, iran
پست الکترونیکی fayyaz64dr@gmail.com

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