Qualitative properties of one-dimensional fractional differential advection-diffusion equation
نویسندگان
چکیده
منابع مشابه
An efficient differential quadrature method for fractional advection-diffusion equation
Abstract Using a set of modified cubic trigonometric B-splines as test functions, a new differential quadrature technique is proposed for the 1D and 2D transient advection-diffusion equations of order α ∈ (0, 1]. The weighted coefficients are determined via solving the system of algebraic equations with a strictly diagonally dominant tri-diagonal matrix. Then, the original equation is converted...
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Mass transport such as movement of phosphorus in soils and solutes in rivers is a natural phenomenon and its study plays an important role in science and engineering. It is found that there are numerous practical diffusion phenomena that do not obey the classical advection-diffusion equation (ADE). Such diffusion is called abnormal or super diffusion and is well described using a fractional adv...
متن کاملLattice Boltzmann method for the fractional advection-diffusion equation.
Mass transport, such as movement of phosphorus in soils and solutes in rivers, is a natural phenomenon and its study plays an important role in science and engineering. It is found that there are numerous practical diffusion phenomena that do not obey the classical advection-diffusion equation (ADE). Such diffusion is called abnormal or superdiffusion, and it is well described using a fractiona...
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ژورنال
عنوان ژورنال: Vestnik MGSU
سال: 2014
ISSN: 1997-0935,2304-6600
DOI: 10.22227/1997-0935.2014.7.28-33