Erratum: “High accuracy solution of Maxwell’s equations using nonstandard finite differences” [Comput. Phys. 11, 287 (1997)]
نویسندگان
چکیده
منابع مشابه
Nonstandard finite difference schemes for differential equations
In this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (NSFDs). Numerical examples confirming then efficiency of schemes, for some differential equations are provided. In order to illustrate the accuracy of the new NSFDs, the numerical results are compared with ...
متن کاملErratum to "On computational issues of immersed finite element methods" [J. Comput. Phys 228 (2009) 2535-2551]
We would like to correct the typo with regard to Reference 28 in our manuscript. Reference 28 should read [28] W.K. Liu, D.W. Kim, S. Tang, Mathematical foundations of the immersed finite element method, Computational Mechanics 39 (2007) 211–222. We would also like to point out another review paper on this subject by X. Wang, Issues of immersed boundary/continuum methods, Contemporary Mathemati...
متن کاملNumerical Solution of the Time-Domain Maxwell Equations Using High-Accuracy Finite-Difference Methods
High-accuracy finite-difference schemes are used to solve the two-dimensional timedomain Maxwell equations for electromagnetic wave propagation and scattering. The high-accuracy schemes consist of a seven-point spatial operator coupled with a six-stage Runge–Kutta time-marching method. Two methods are studied, one of which produces the maximum order of accuracy and one of which is optimized for...
متن کاملThe Numerical Solution of Klein-Gorden Equation by Using Nonstandard Finite Difference
In this paper we propose a numerical scheme to solve the one dimensional nonlinear Klein-Gorden equation. We describe the mathematical formulation procedure in details. The scheme is three level explicit and based on nonstandard finite difference. It has nonlinear denominator function of the step sizes. Stability analysis of the method has been given and we prove that the proposed meth...
متن کاملnonstandard finite difference schemes for differential equations
in this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (nsfds). numerical examples confirming then efficiency of schemes, for some differential equations are provided. in order toillustrate the accuracy of the new nsfds, the numerical results are compared with s...
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ژورنال
عنوان ژورنال: Computers in Physics
سال: 1998
ISSN: 0894-1866
DOI: 10.1063/1.168634