In this paper we give the numerical solution of the Burger's equation using the variational iteration method (abbr. VIM) and we compare it with that of radial basis functions [6]. We remark an improvement of the numerical solution, next we compare the exact solution with the approximate solution by VIM in a given time interval.
In this paper, we give an efficient method for solving Burger's equation.The numerical scheme equation is based on cubic B-spline quasi-interpolants and some techniques of matrix arguments. We find an iterative expression which is easy to implement and we give also the error iterative scheme. Then we compare the obtained approximate solution with that given by the methods introduced in [22] and [7].
In this paper we study the existence of at least two nontrivial solutions for the nonlinear p-Laplacian problem, with nonlinear boundary conditions. We establish that there exist at least two solutions, which are opposite signs. For this reason, we characterize the first eigenvalue of an intermediary eigenvalue problem by the minimization method. In fact, in some sense, we establish the non-resonance below the first eigenvalues of nonlinear Steklov-Robin problem.
The movement is studied from a viscous andincompressible homogeneous fluid which crosses a field of thechannel in the form of L, with the possibility to exert pressure ofknown difference between two opposite edges. We extend previous workin \cite{AB} which studies a problem of Stokes in the stationarycase and with one parameter that characterizes the pressuredifference between two sides in a specific domain (symmetricchannel). We show existence, unicity and regularity of the solutionof an evolution problem with four parameters that characterize thepressure difference between two opposite sides of our field.
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