Spectral Methods for Second-Order Two-Point Boundary Value Problems

  • Jie ShenEmail author
  • Tao Tang
  • Li-Lian Wang
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 41)


We consider in this chapter spectral algorithms for solving the two-point boundary value problem. \( -\varepsilon \rm{U}^{n}+ p(x){\rm{U}=F}, in 1:=(-1,1),\)


Galerkin Method Dirichlet Boundary Condition Collocation Method Chebyshev Polynomial Collocation Point 
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Copyright information

© Springer Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of MathematicsPurdue UniversityWest LafayetteUSA
  2. 2.Department of MathematicsHong Kong Baptist UniversityKowloonHong Kong SAR
  3. 3.Division of Mathematical Sciences School of Physical & Mathematical SciencesNanyang Technological UniversitySingaporeSingapore

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