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A convergence analysis of the numerical solution of boundary-value problems by using two-dimensional Haar wavelets Narongpol Wichailukkanaa,∗, Boriboon Novaprateepa,b, Chaiwoot Boonyasiriwatc 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