On the use of high order difference methods for the system of one space second order nonlinear hyperbolic equations with variable coefficients
โ Scribed by R.K. Mohanty; M.K. Jain; Kochurani George
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 511 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0377-0427
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๐ SIMILAR VOLUMES
A closed form solution of a second order linear homogeneous difference equation with variable coefficients is presented. As an application of this solution, ลฝ . we obtain expressions for cos n and sin n q 1 rsin as polynomials in cos .
## Abstract Regularity of the solution for the wave equation with constant propagation speed is conserved with respect to time, but such a property is not true in general if the propagation speed is variable with respect to time. The main purpose of this paper is to describe the order of regularity
The nonlinear Helmholtz equation (NLH) models the propagation of electromagnetic waves in Kerr media, and describes a range of important phenomena in nonlinear optics and in other areas. In our previous work, we developed a fourth order method for its numerical solution that involved an iterative so