MMN-486
On the numerical solution of generalized nonlinear Schrodinger equation using RBFS
Marjan Uddin; Sirajul Haq;Abstract
A truly meshfree technique based on radial basis functions (RBFs) is proposed for the numerical solution of
generalized nonlinear Schrodinger (GNLS) 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
Vol. 14 (2013), No. 3, pp. 1067-1084
DOI: 10.18514/MMN.2013.486