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- Title
An efficient numerical algorithm based on Haar wavelet for solving a class of linear and nonlinear nonlocal boundary-value problems.
- Authors
Aziz, Imran; Siraj-ul-Islam; Nisar, Muhammad
- 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.
- Subjects
HAAR function; WAVELETS (Mathematics); HARMONIC analysis (Mathematics); BOUNDARY value problems; COMPLEX variables
- Publication
Calcolo, 2016, Vol 53, Issue 4, p621
- ISSN
0008-0624
- Publication type
Article
- DOI
10.1007/s10092-015-0165-9