Title of article :
A QUARTIC B-SPLINE COLLOCATION METHOD FOR SOLVING THE NONLINEAR SCHRÄODINGER EQUATION
Author/Authors :
SAKA, BÄULENT Eskişehir Osmangazi University - Mathematics-Computer Department, Turkey
Abstract :
The quartic B-spline collocation algorithm is set up to find the numerical solution of the nonlinear SchrÄodinger equation. The method is tested on the problems of the single soliton solution, interaction of two colliding solitons, and the birth of soliton. Results are compared with some other published numerical results. The accuracy of scheme is discussed by computing numerical conserved laws, and L2, L∞ error norms.
Keywords :
SchrÄodinger Equation , Soliton , Collocation , Quartic B , Spline.
Journal title :
Applied and Computational Mathematics
Journal title :
Applied and Computational Mathematics
