期刊文献+
共找到4篇文章
< 1 >
每页显示 20 50 100
Numerical Solutions of Coupled Nonlinear Schrödinger Equations by Orthogonal Spline Collocation Method
1
作者 Qing-Jiang Meng Li-Ping Yin +1 位作者 Xiao-Qing Jin Fang-Li Qiao 《Communications in Computational Physics》 SCIE 2012年第10期1392-1416,共25页
In this paper,we present the use of the orthogonal spline collocation method for the semi-discretization scheme of the one-dimensional coupled nonlinear Schrödinger equations.This method uses the Hermite basis fu... In this paper,we present the use of the orthogonal spline collocation method for the semi-discretization scheme of the one-dimensional coupled nonlinear Schrödinger equations.This method uses the Hermite basis functions,by which physical quantities are approximatedwith their values and derivatives associatedwith Gaussian points.The convergence rate with order O(h4+t2)and the stability of the scheme are proved.Conservation properties are shown in both theory and practice.Extensive numerical experiments are presented to validate the numerical study under consideration. 展开更多
关键词 Coupled nonlinear Schrödinger equations orthogonal spline collocation method conservation law
原文传递
CUBLIC SPLINE SOLUTIONS OF AXISYMMETRICALNONLINEAR BENDING AND BUCKLING OFCIRCULAR SANDWICH PLATES
2
作者 侯朝胜 张守恺 林锋 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第1期131-138,共8页
Cubic B-spline taken as trial function, the nonlinear bending of a circular sandwich plate was calculated by the method of point collocation. The support could be elastic. A sandwich plate was assumed to be Reissner m... Cubic B-spline taken as trial function, the nonlinear bending of a circular sandwich plate was calculated by the method of point collocation. The support could be elastic. A sandwich plate was assumed to be Reissner model. The formulae were developed for the calculation of a circular sandwich plate subjected to polynomial distributed loads, uniformly distributed moments, radial pressure or radial prestress along the edge and their combination. Buckling load was calculated for the first time by nonlinear theory. Under action of uniformly distributed loads, results were compared with that obtained by the power series method. Excellences of the program written by the spline collocation method are wide convergent range, high precision and universal. 展开更多
关键词 circular sandwich plate large deflection BUCKLING spline collocation method
下载PDF
NONLINEAR STABILITY OF TRUNCATED SHALLOW SPHERICALSHELL WITH VARIABLE THICKNESS UNDERUNIFORMLY DISTRIBUTED LOAD
3
作者 严圣平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第10期0-0,0-0+0-0,共6页
In this paper, to begin with. the nonlinear differential equations of a truncaled shallow spherical shell with variable thickness under uniformal distributed load are linearized by step-by-step loading method. The lin... In this paper, to begin with. the nonlinear differential equations of a truncaled shallow spherical shell with variable thickness under uniformal distributed load are linearized by step-by-step loading method. The linear differential equations can be solved by spline collocanon method. Critical loads have been obtained accordingly. 展开更多
关键词 truncated shallow spherical shell with variable thickness nonlinear stability step-by-step loading method spline collocation method
下载PDF
AN EFFICIENT NUMERICAL METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH TWO CAPUTO DERIVATIVES
4
作者 Shuiping Yang Aiguo Xiao 《Journal of Computational Mathematics》 SCIE CSCD 2016年第2期113-134,共22页
In this paper, we study the Hermite cubic spline collocation method with two parame- ters for solving a initial value problem (IVP) of nonlinear fractional differential equations with two Caputo derivatives. The con... In this paper, we study the Hermite cubic spline collocation method with two parame- ters for solving a initial value problem (IVP) of nonlinear fractional differential equations with two Caputo derivatives. The convergence and nonlinear stability of the method are established. Some illustrative examples are provided to verify our theoretical results. The numerical results also indicate that the convergence order is min{4 - α, 4 - β}, where 0 〈β〈 αa 〈 1 are two parameters associated with the fractional differential equations. 展开更多
关键词 Fractional differential equations Caputo derivatives spline collocation method CONVERGENCE Stability.
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部