Discrete Jacobi sub-equation method for nonlinear differential–difference equations
✍ Scribed by Zhen Wang; Wen-Xiu Ma
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 176 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1259
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📜 SIMILAR VOLUMES
In this paper, an algorithm is presented to find exact polynomial solutions of nonlinear differential-difference equations(DDEs) in terms of the Jacobi elliptic functions. The key steps of the algorithm are illustrated by the discretized mKdV lattice. A Maple package JACOBI is developed based on the
In this work we study the appearance of spurious solutions when first-order differential equations with unimodal righthand sides are discretized using Runge-Kutta schemes. These spurious solutions are explained in terms of the iteration functions. Schemes that produce good approximating solutions fo