On the evolution of solutions of Burgers equation on the positive quarter-plane
Keyword(s):
AbstractIn this paper we investigate an initial-boundary value problem for the Burgers equation on the positive quarter-plane; $\matrix{ {{v_t} + v{v_x} - {v_{xx}} = 0,\,\,\,x > 0,\,\,\,t > 0,} \cr {v\left( {x,0} \right) = {u_ + },\,\,\,x > 0,} \cr {v\left( {0,t} \right) = {u_b},\,\,t > 0,} \cr }$ where x and t represent distance and time, respectively, and u+ is an initial condition, ub is a boundary condition which are constants (u+ ≠ ub). Analytic solution of above problem is solved depending on parameters (u+ and ub) then compared with numerical solutions to show there is a good agreement with each solutions.
2019 ◽
Vol 26
(3)
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pp. 341-349
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2010 ◽
Vol 96
(1-3)
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pp. 123-141
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2003 ◽
Vol 177
(2)
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pp. 208-226
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2016 ◽
Vol 34
(1)
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pp. 151-172
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