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

作者：Aziz Imran^*; Siraj ul Islam; Nisar Muhammad

来源：Calcolo, 2016, 53(4): 621-633.

DOI：10.1007/s10092-015-0165-9

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

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 ath 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.

• 出版日期2016-12