Symmetry | |
Numerical Solution of Nonlinear Schrödinger Equation with Neumann Boundary Conditions Using Quintic B-Spline Galerkin Method | |
Azhar Iqbal1  AhmadIzani Md. Ismail2  NurNadiah Abd Hamid2  | |
[1] Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, 31952 Al Khobar, Saudi Arabia;School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia; | |
关键词: non-linear Schrödinger equation; quintic B-spline; Galerkin finite element method; | |
DOI : 10.3390/sym11040469 | |
来源: DOAJ |
【 摘 要 】
This paper is concerned with the numerical solution of the nonlinear Schrödinger (NLS) equation with Neumann boundary conditions by quintic B-spline Galerkin finite element method as the shape and weight functions over the finite domain. The Galerkin B-spline method is more efficient and simpler than the general Galerkin finite element method. For the Galerkin B-spline method, the Crank Nicolson and finite difference schemes are applied for nodal parameters and for time integration. Two numerical problems are discussed to demonstrate the accuracy and feasibility of the proposed method. The error norms
【 授权许可】
Unknown