[PDF] Top 20 On the Conservative Finite Difference Scheme for the Generalized Novikov Equation

... mKdV equation [5] ...mCH equation could also be obtained from an invariant non-stretching planar curve flow in Euclidean geometry ...CH equation in this sense. The other one was the so-called ... See full document

... where ψ (x, t) is a complex-valued function, ψ ∗ (x, t) denotes the complex conjugate of ψ(x, t), and λ is a nonlinear coupling constant appearing through derivative coupling. This kind of nonlinearity is also known as ... See full document

... new conservative finite difference scheme is presented for an initial-boundary value problem of the general Rosenau-RLW ...the scheme is uniquely solvable, unconditionally stable, and ... See full document

... Sine-Gordon equation is a nonlinear hyperbolic partial differential equation due to it including the d'Alembert operator and the sine of the unknown ...Codazzi equation for surfaces of curvature (see ... See full document

... telegraph equation has been considered recently by several ...telegraph equation by the method of separating ...graph equation by employing the Laplace and Fourier ...difference scheme to ... See full document

... letting h vary and fixing the time step size τ sufficiently small to avoid contamination of the temporal. Table  shows the numerical results when τ = ,  , h =   , h =   , h =   , and h = ,  . ... See full document

... the equation. Numerical solutions of the equation was obtained using a polynomial differential quadrature method (DQM) by Sari and Gurarslan in ...of finite difference method (FDM) for the ... See full document

... compact finite difference scheme (CFDS) has widely been paid attention and imple- mented for numerical simulation of various types of partial differential ...Burgers’ equation [11], ... See full document

... methods: Finite Difference, Finite Volume and Finite ...methods, Finite Difference is the most efficient and, since it is a relatively straightforward method, it is often used in ... See full document

... for generalized Rosenau equation are considered and two energy conserva- tive finite difference schemes are ...difference scheme has been ...the scheme are proved using energy ... See full document

... DOI: 10.4236/am.2017.88083 1110 Applied Mathematics system and generalized Fisher’s equation is successfully approximated by a various numerical finite difference schemes. Two of them are ... See full document

... OFDCNI scheme and the existing POD-based reduced-order extrapolating FDCN schemes (see, ...Sobolev equation not only includes the time first-order derivative term and the spacial variables second-order ... See full document

... where λ > , k ≥  is a positive integer. Equations (.) and (.) have similar properties as regards the local well-posedness and blow-up phenomena, but they are different as regards the long time behavior. For ... See full document

... sixth-order scheme for the inhomogeneous Robin boundary condition (5), by which the ghost points in the scheme on the domain can be eliminated ...the scheme on the ...the scheme with respect ... See full document

... This equation is usually called the Rosenau-RLW (RRLW) ...RRLW equation. Meanwhile, a three-level difference scheme for ...coupling equation of KdV and RRLW is also solved through a three-level ... See full document

... a finite difference scheme to the solu- tion of a second order ordinary differential equation with the right-hand-side nonlinearly dependent on the first ... See full document

... various finite products of the norms of the elements c(n,x) with special type ...various finite remainders of products within the considered shift, which is the same sum as in ... See full document

... diffusion equation on a finite domain, which involves the Caputo variable-order time fractional derivative of order α (x, t) ∈ (0, 1) and the Riesz variable-order space fractional derivatives of order β (x, t) ∈ (0, ... See full document

... This research is to study about the wave and the wave equation to make prediction and assumption of physical phenomenon such as in vibrating string. The definition of wave is forward or backward propagating ... See full document

... Abstract: In this paper, a new iteration scheme is proposed to solve the roots of a nonlinear equation. It is the purpose of this paper to show that, although the new iteration method seems to be of high ... See full document