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Research articles

ScienceAsia 42(2016): 346-355 |doi: 10.2306/scienceasia1513-1874.2016.42.346


A convergence analysis of the numerical solution of boundary-value problems by using two-dimensional Haar wavelets


Narongpol Wichailukkanaa,*, Boriboon Novaprateepa,b, Chaiwoot Boonyasiriwatc

 
ABSTRACT:     This study provides an analysis of the convergence of the Haar wavelet-based method for solving two-dimensional boundary value problems. The convergence analysis shows that the approximation method is of order 2. The analytical results are validated via two numerical examples.

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a Department of Mathematics, Faculty of Science, Mahidol University, Rama 6 Road, Ratchathewi, Bangkok 10400 Thailand
b PERDO, Centre of Excellence in Mathematics, Commission on Higher Education, Faculty of Science, Mahidol University, Rama 6 Road, Ratchathewi, Bangkok 10400 Thailand
c Department of Physics, Faculty of Science, Mahidol University, Rama 6 Road, Ratchathewi, Bangkok 10400 Thailand

* Corresponding author, E-mail: narongpol.wic@student.mahidol.ac.th

Received 3 Oct 2016, Accepted 3 Oct 2016