Symbolic computation of analytic approximate solutions for nonlinear differential equations with initial conditions
โ Scribed by Yezhi Lin; Yinping Liu; Zhibin Li
- Book ID
- 113554282
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 589 KB
- Volume
- 183
- Category
- Article
- ISSN
- 0010-4655
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๐ 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
The quasilinearization method is used for nonlinear ordinary differential equations with nonlinear boundary conditions. Given are sufficient conditions when corresponding monotone sequences converge to the unique solution and this convergence is quadratic. (~ 2004 Elsevier Ltd. All rights reserved.