An efficient numerical algorithm based on Haar wavelet for solving a class of linear and nonlinear nonlocal boundary-value problems

Imran Aziz*, Siraj-ul-Islam, Muhammad Nisar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

Based on Haar wavelet a new numerical method for the solution of a class of nth-order boundary-value problems (BVPs) with nonlocal boundary conditions is proposed. This new method is an extension of the Haar wavelet method (Siraj-ul-Islam et al. in Math Comput Model 50:1577–1590, 2010; Int J Therm Sci 50:686–697, 2011) from BVPs with local boundary conditions to BVPs with a class of nonlocal boundary conditions. A major advantage of the proposed method is that it is applicable to both linear and nonlinear BVPs. The method is tested on BVPs of third- and fourth-order. The numerical results are compared with an existing method in the literature and analytical solutions. The numerical experiments demonstrate the accuracy and efficiency of the proposed method.

Original languageEnglish
Pages (from-to)621-633
Number of pages13
JournalCalcolo
Volume53
Issue number4
DOIs
Publication statusPublished - Dec 2016
Externally publishedYes

Keywords

  • Haar wavelet
  • Boundary-value problems
  • Nonlocal boundary conditions

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