Pseudospectral versus Galerkin methods: Fourth order equations Articles uri icon

publication date

  • April 2022

start page

  • 1

end page

  • 16

volume

  • 413

International Standard Serial Number (ISSN)

  • 0377-0427

Electronic International Standard Serial Number (EISSN)

  • 1879-1778

abstract

  • We prove the convergence of an innovative Chebyshev-Gauss-Lobatto (CGL) pseudospectral method applied to fourth order boundary value problems. The proposed method enjoyed all the advantages of pseudospectral methods. Moreover, we can select (N - 3) interior CGL collocation points to enforce the equation, meanwhile we use the remaining four collocation points to assure the boundary conditions.

subjects

  • Mathematics

keywords

  • biharmonic equation; chebyshev┬┐gauss┬┐lobatto collocation points; convergence; fourth order boundary value problems; galerkin method; pseudospectral method