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Solving Two-Point Boundary Value Problems of Fractional Differential Equations by Spline Collocation Methods
Caputo抯 derivatives Collocation methods Cubic spline functions Riemann-Liouvillefractional derivative
2012/8/10
We use collocation methods to solve fractional boundary value problems. Analytically, we study the
existence and uniquenes theorem of the collocation solutions, and discuss some error estimates. We
...
Solving Two-Point Boundary Value Problems of Fractional Differential Equations
Caputo抯 derivatives Riemann-Liouville Derivatives Fractional differential equation Twopointboundary value problem Existence and uniqueness Single shooting method
2012/8/8
We solve four kinds of two-point boundary value problems of fractional differential equations with
Caputo抯 derivatives or Riemann-Liouville Derivatives. Analytically, we introduce the fractional Gree...
Two-point boundary value problems and exact controllability for several kinds of linear and nonlinear wave equations
wave equation two-point boundary value problem global exact controllability exact controllability Dirichlet boundary condition Neumann boundary condition hyperbolic curvature flow Gage-Hamilton’s theorem
2018/4/19
In this paper we introduce some new concepts for second-order hyperbolic equations: two-point boundary value problem, global exact controllability and exact controllability. For several kinds of impor...
Homotopy perturbation method for computing eigenelements of Sturm-Liouville two point boundary value problems
Homotopy Perturbation Method Sturm-Liouville problem
2010/9/14
In this work we consider the application of the Homotopy Perturbation Method (HPM) to compute the eigenvalues and the corresponding normalized eigenfunction of Sturm-Liouville problem. To illustrate t...
Existencer result and numerical method for nonlinear third-order two-point boundary value problems
Existence Two-point boundary value conditions
2010/9/17
In this study, we present the existence of solution for nonlinear thirdorder differential equation with two-point boundary value conditions under more easily verified conditions than the conditions fo...
期刊信息
篇名
Numerov’s method for strongly nonlinear two-point boundary value problems
语种
英文
撰写或编译
作者
王元明
第一作者单位
刊物名称
Computers and Mathematics with Applications
页面
45, 759—763, 2003.03
出版日期
2003年
3月
日
文章标...