Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method
✍ Scribed by Mehdi Dehghan; Ameneh Taleei
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 278 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0749-159X
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## Abstract The solution of the two‐dimensional time‐independent Schrödinger equation is considered by partial discretization. The discretized problem is treated as an ordinary differential equation problem and solved numerically by asymptotically symplectic methods. The problem is then transformed
The nonlinear Poisson-Boltzmann (PB) equation is solved using Newton-Krylov iterations coupled with pseudo-transient continuation. The PB potential is used to compute the electrostatic energy and evaluate the force on a user-specified contour. The PB solver is embedded in a existing, 3D, massively p