A Unified Reproducing Kernel Method and Error Estimation for Solving Linear Differential Equation with Functional Constraints
作者: Xinjian ZhangXiongwei LiuDane Quinn
作者单位: 1College of Science, National University of Defense Technology, Changsha, Hunan 410073, China
刊名: Mathematical Problems in Engineering, 2015, Vol.2015
来源数据库: Hindawi Journal
DOI: 10.1155/2015/823264
原始语种摘要: A unified reproducing kernel method for solving linear differential equations with functional constraint is provided. We use a specified inner product to obtain a class of piecewise polynomial reproducing kernels which have a simple unified description. Arbitrary order linear differential operator is proved to be bounded about the special inner product. Based on space decomposition, we present the expressions of exact solution and approximate solution of linear differential equation by the polynomial reproducing kernel. Error estimation of approximate solution is investigated. Since the approximate solution can be described by polynomials, it is very suitable for numerical calculation.
全文获取路径: Hindawi 

  • approximate 近似的
  • kernel 
  • piecewise 分段
  • unified 统一
  • reproducing 再生
  • bounded 有界的
  • differential 差动的
  • polynomial 多项式
  • solution 溶液
  • simple 单纯的