Construction of symplectic schemes for wave equations via hyperbolic functions sinh(x), cosh(x) and tanh(x)
نویسندگان
چکیده
منابع مشابه
Explicit schemes for parabolic and hyperbolic equations
Standard explicit schemes for parabolic equations are not very convenient for computing practice due to the fact that they have strong restrictions on a time step. More promising explicit schemes are associated with explicit-implicit splitting of the problem operator (Saul’yev asymmetric schemes, explicit alternating direction (ADE) schemes, group explicit method). These schemes belong to the c...
متن کاملSeven-Point Difference Schemes for Hyperbolic Equations
A necessary and sufficient condition is given for all hyperbolic difference schemes that use up to nine mesh points to be of second-order accuracy. We also construct a new difference scheme for two-dimensional hyperbolic systems of conservation laws. The scheme is of second-order accuracy and requires knowledge of only seven mesh points. A stability condition is obtained and is utilized in nume...
متن کاملOn Difference Schemes for Hyperbolic-Parabolic Equations
The nonlocal boundary value problem for a hyperbolic-parabolic equation in a Hilbert space H is considered. The difference schemes approximately solving this boundary value problem are presented. The stability estimates for the solution of these difference schemes are established. In applications, the stability estimates for the solutions of the difference schemes of the mixed type boundary val...
متن کاملFuzzy Numerical Schemes for Hyperbolic Differential Equations
The numerical solution of hyperbolic partial differential equations (PDEs) is an important topic in natural sciences and engineering. One of the main difficulties in the task stems from the need to employ several basic types of approximations that are blended in a nonlinear way. In this paper we show that fuzzy logic can be used to construct novel nonlinear blending functions. After introducing...
متن کاملOn the construction of accurate difference schemes for hyperbolic partial differential equations
S U M M A R Y Methods are developed for increasing the fidelity of difference approximations to hyperbolic partial differential equations. A relation between the truncation error and the exact and approximate amplification factors is derived. Based upon this relation, quantitative criteria for the minimization of dissipation and dispersion are derived, and difference schemes which satisfy these...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1993
ISSN: 0898-1221
DOI: 10.1016/0898-1221(93)90326-q