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- Title
ON THE NUMERICAL SOLUTION OF GENERALIZED NONLINEAR SCHRODINGER EQUATION USING RBFS.
- Authors
UDDIN, MARJAN; HAQ, SIRAJUL
- Abstract
A meshfree technique based on radial basis functions (RBFs) is applied for the numerical solution of generalized nonlinear Schrodinger equation. The spatial derivatives are approximated by using the derivative of interpolation and a low order forward scheme is used to approximate the temporal derivative. Three test problems concerning the motion of solitary wave, interaction of two solitary waves and solution that blows up in finite time respectively are investigated, which examined the accuracy of the method in terms of the L2, L∞ error norms, and the conservative quantities, I1, I2 and I3 . The results obtained from the method are compared with the exact solution and the earlier work in the literature.
- Subjects
NUMERICAL solutions to differential equations; NONLINEAR Schrodinger equation; RADIAL basis functions; INTERPOLATION; SOLITONS
- Publication
Miskolc Mathematical Notes, 2013, Vol 14, Issue 3, p1067
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2013.486