A dual‐reciprocity boundary element solution of a generalized nonlinear Schrödinger equation

A time-stepping dual-reciprocity boundary element method is presented for the numerical solution of an initial-boundary value problem governed by a generalized non-linear Schrodinger equation. To test the method, two specific problems with known exact solutions are solved. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 20, 2004.

[1]  Song-Ping Zhu,et al.  Solving linear diffusion equations with the dual reciprocity method in Laplace space , 1994 .

[2]  Mehdi Dehghan,et al.  The Determination Of A Control Parameter In A Two-Dimensional Diffusion Equation Using A Dual-Reciprocity Boundary Element Method , 2003, Int. J. Comput. Math..

[3]  Murat Subaşi,et al.  On the finite‐differences schemes for the numerical solution of two dimensional Schrödinger equation , 2002 .

[4]  K. El Harrouni,et al.  Global interpolation function based DRBEM applied to Darcy's flow in heterogeneous media , 1995 .

[5]  W. Ang.  A Laplace transformation dual‐reciprocity boundary element method for a class of two‐dimensional microscale thermal problems , 2002 .

[6]  D. Clements.  Boundary value problems governed by second order elliptic systems , 1978 .

[7]  Carlos Alberto Brebbia,et al.  Dynamic analysis in solid mechanics by an alternative boundary element procedure , 2000 .

[8]  D. Clements,et al.  A Method for the Numerical Solution of Problems Governed by Elliptic Systems in the Cut Plane , 1979 .

[9]  J. I. Ramos,et al.  Linearly implicit methods for the nonlinear Schrödinger equation in nonhomogeneous media , 2002, Appl. Math. Comput..

[10]  Song‐Ping Zhu,et al.  On the choice of interpolation functions used in the dual-reciprocity boundary-element method , 1994 .

[11]  Thiab R. Taha,et al.  Numerical simulation of coupled nonlinear Schrödinger equation , 2001 .

[12]  Carlos Alberto Brebbia,et al.  Dynamic analysis in solid mechanics by an alternative boundary element procedure , 1983 .