Numerical solution of nonlinear ordinary differential equations using flatlet oblique multiwavelets

Darani M., Adibi H., Lakestanı M.

International Journal of Computer Mathematics, vol.88, no.5, pp.1035-1051, 2011 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 88 Issue: 5
  • Publication Date: 2011
  • Doi Number: 10.1080/00207160.2010.492423
  • Journal Name: International Journal of Computer Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1035-1051
  • Keywords: biorthogonal system, flatlet, oblique multiwavelets, operational matrix of derivative
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

This paper is concerned with the construction of a biorthogonal multiwavelet basis in the unit interval to form a biorthogonal flatlet multiwavelet system. The system is then used to solve nonlinear ordinary differential equations. The biorthogonality and high vanishing moment properties of this system result in efficient and accurate solutions. Finally, numerical results for some test problems with known solutions are presented and the absolute errors are compared with the errors resulting from B-spline bases. © 2011 Taylor & Francis.