[PDF] Top 20 A study on Degasperis - Procesi equation by iterative methods

... I t namic problems in physics and other fields has been shown that many important dy- are usually characterized by nonlinear evolution equations which are often called governing equa- tions [3, 42, 36, 27]. To understand ... See full document

... CH equation, a solution after breaking can be continued as ei- ther a global conservative solution [2] or as a global dissipative solution [3], while for the DP equation shock waves possibly appear ... See full document

... KdV equation modeling weakly nonlinear unidirectional long waves and the CH equation modeling the unidirectional shallow water waves have been extensively in- vestigated (see ...to study related ... See full document

... by Degasperis and Procesi in [] as a model for the motion of shallow water waves, and its asymptotic accuracy is the same as for the Camassa-Holm ...to study this kind of ...dissipative ... See full document

... to study the model with energy ...KdV equation from different ...(CH) equation and the weakly dissipative DP equation were studied in [–] and [–], ...b-family equation. Recently, ... See full document

... The objective of this paper is to study problem (). We establish the existence, unique- ness and L  stability of entropy weak solutions belonging to the space L  (R) ∩ L ∞ (R) under condition (). One of our ... See full document

...     (39) For an arbitrary u j ( )( x t , j = 2, 3,  ) we can use symbolic software programme such as Mathematica to calculate it in the same manner. If only the two-term approximation of Equation (15) is ... See full document

... the iterative method such as Jacobi and Gauss – Seidal are very important method for solving the system of equation ...differential equation gives better accuracy . These numerical methods for ... See full document

... this equation by different methods (see [2–7]). The Degasperis–Procesi equation possesses smooth solutions that develop singularities in finite time by capturing the essential features of ... See full document

... bracketing methods can be relocating with the recommended algorithm in this ...bisection methods with the second order polynomial interpretation ...popular iterative methods to find out the ... See full document

... The HAM provides us with a convenient way to control the convergence of ap- proximation series; this is a fundamental qualitative difference between the HAM and other methods for finding approximate solutions. The ... See full document

... Liouville equation in nonlinear science [43] , and so ...mentioned iterative methods are introduced for solving ...proposed methods are shown in section ... See full document

... The paper is organized as follows. In section 2, the mentioned iterative methods are introduced for solving Eq. (1.1). In section 3 we prove the existence , uniqueness of the solution and convergence of the ... See full document

... In this paper, the Auto-Bäcklund transformation connected with the homogeneous balance me- thod (HB) and the extended tanh-function method are used to construct new exact solutions for the time-dependent coefficients ... See full document

... CRS methods are mathematically ...CRS iterative method to solve a class of coupled Sylvester-transpose matrix ...CRS methods for solving the periodic Sylvester matrix equa- tion ... See full document

... Keywords : Fokker-Plank equation; Modied Adomian deomposition method; Variational itera-.. tion method; Homotopy analysis method.[r] ... See full document

... new iterative methods to the following two examples, and have chosen Newton’s method and Kou’s method named NNM and NJM which are defined in [ 13 ] to compare with our methods ... See full document

... where u and v are the projections of Δx on the subspaces U and V, respectively. Because both the condition number and the scale of the system can be reduced after Schur complement decomposition, we propose to further ... See full document

... gradients methods have the same prop- erties, all of them proceeds by generating successive ap- proximations to the solution, and search directions used in updating iterates and ... See full document

... In this is work he proved the existence of classical solution by iterative methods for the mixed problem associated to the equation... EXISTENCE OF WEAK SOLUTIONS FOR CAUCHY PROBLEMS.[r] ... See full document