{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T19:52:50Z","timestamp":1648583570692},"reference-count":4,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2010,7]]},"abstract":"<jats:p> The solutions of convection and diffusion equations are analyzed using Multiresolution Multiwavelet (MRMW) basis functions of multidimension including time. The distribution representing the solution reconstructed in non-standard form of the higher order MRMW reproduces the original solution in the multidimensional space much more efficiently than the lower order one. Smooth movement of the distribution is observed except for the initial area even using the MRMW of zeroth order but the shape of the distribution is not well reproduced for the case. The initial area is better reproduced by the MRMW of higher order and the wavelet component decays much quicker both in low and high levels of resolution. <\/jats:p>","DOI":"10.1142\/s021969131000364x","type":"journal-article","created":{"date-parts":[[2010,8,3]],"date-time":"2010-08-03T10:25:28Z","timestamp":1280831128000},"page":"559-573","source":"Crossref","is-referenced-by-count":2,"title":["MULTIWAVELET ANALYSIS OF THE SOLUTION FOR PHYSICAL EQUATIONS"],"prefix":"10.1142","volume":"08","author":[{"given":"HIDEO","family":"SEKINO","sequence":"first","affiliation":[{"name":"Knowledge Based Information Engineering, Toyohashi University of Technology, 1-1 Hibarigaoka, Tenpaku-cho, Toyohashi, Aichi 441-8580, Japan"}]},{"given":"TAKAHIRO","family":"II","sequence":"additional","affiliation":[{"name":"Knowledge Based Information Engineering, Toyohashi University of Technology, 1-1 Hibarigaoka, Tenpaku-cho, Toyohashi, Aichi 441-8580, Japan"}]},{"given":"TETSUYA","family":"KATO","sequence":"additional","affiliation":[{"name":"Knowledge Based Information Engineering, Toyohashi University of Technology, 1-1 Hibarigaoka, Tenpaku-cho, Toyohashi, Aichi 441-8580, Japan"}]},{"given":"SHINJI","family":"HAMADA","sequence":"additional","affiliation":[{"name":"Knowledge Based Information Engineering, Toyohashi University of Technology, 1-1 Hibarigaoka, Tenpaku-cho, Toyohashi, Aichi 441-8580, Japan"}]},{"given":"TAKUMI","family":"OKAMOTO","sequence":"additional","affiliation":[{"name":"Knowledge Based Information Engineering, Toyohashi University of Technology, 1-1 Hibarigaoka, Tenpaku-cho, Toyohashi, Aichi 441-8580, Japan"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2002.7160"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1063\/1.1791051"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1063\/1.2955730"},{"key":"rf7","author":"Hamada S.","journal-title":"Int. J. Quant. Chem."}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021969131000364X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:17:07Z","timestamp":1565147827000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021969131000364X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,7]]},"references-count":4,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2010,7]]}},"alternative-id":["10.1142\/S021969131000364X"],"URL":"https:\/\/doi.org\/10.1142\/s021969131000364x","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"value":"0219-6913","type":"print"},{"value":"1793-690X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,7]]}}}