Taylor-Collocation Method for The Numerical Solution of The Nonlinear Schrödinger Equation Using Cubic B-Spline Basis
نویسندگان
چکیده
Taylor B-spline collocation method (TCM) is proposed to obtain the numerical solution of the nonlinear Schrödinger(NLS) equation with appropriate initial and boundary conditions. Time discretization is carried out with Taylor series expansion and resulting system of equation is fully-integrated using cubic B-spline collocation method. Test problems concerning single soliton motion, interaction of two solitons, birth and bound states of solitons of the NLS equation are studied. Accuracy of the numerical results are measured by using the L2 and L∞ error norms.
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