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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">donstu</journal-id><journal-title-group><journal-title xml:lang="en">Advanced Engineering Research (Rostov-on-Don)</journal-title><trans-title-group xml:lang="ru"><trans-title>Advanced Engineering Research (Rostov-on-Don)</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2687-1653</issn><publisher><publisher-name>Don State Technical University</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">donstu-600</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICAL AND MATHEMATICAL SCIENCES</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКО-МАТЕМАТИЧЕСКИЕ НАУКИ</subject></subj-group></article-categories><title-group><article-title>AUTOWAVE SOLUTION APPROXIMATION IN LAMINAR FLAME MODELS</article-title><trans-title-group xml:lang="ru"><trans-title>Аппроксимация автоволновых решений в моделях ламинарного пламени</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ладоша</surname><given-names>Евгений Николаевич</given-names></name><name name-style="western" xml:lang="en"><surname>Ladosha</surname><given-names>Evgeny N.</given-names></name></name-alternatives><email xlink:type="simple">ladoscha@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Пугачёв</surname><given-names>Артём Дмитриевич</given-names></name><name name-style="western" xml:lang="en"><surname>Pugachev</surname><given-names>Artem D.</given-names></name></name-alternatives><email xlink:type="simple">anelka21@list.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Цымбалов</surname><given-names>Денис Сергеевич</given-names></name><name name-style="western" xml:lang="en"><surname>Tsybmalov</surname><given-names>Denis S.</given-names></name></name-alternatives><email xlink:type="simple">den_constructor@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Донской государственный технический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Ladosha, Evgeny N.,</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Донской государственный технический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Don State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2012</year></pub-date><pub-date pub-type="epub"><day>09</day><month>07</month><year>2018</year></pub-date><volume>12</volume><issue>5</issue><fpage>5</fpage><lpage>9</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ladosha E.N., Pugachev A.D., Tsybmalov D.S., 2012</copyright-statement><copyright-year>2012</copyright-year><copyright-holder xml:lang="ru">Ладоша Е.Н., Пугачёв А.Д., Цымбалов Д.С.</copyright-holder><copyright-holder xml:lang="en">Ladosha E.N., Pugachev A.D., Tsybmalov D.S.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.vestnik-donstu.ru/jour/article/view/600">https://www.vestnik-donstu.ru/jour/article/view/600</self-uri><abstract><p>A new algorithm for computing laminar flame in the combustible m ixture is suggested. The work differs from the known optimization algorithms in the accurate solution approximation method – the realistic form of not the temperature field itself, but of its derivative with respect to the self - simulated variable is postul ated. As a result, the effective model parameter determination procedure is simplified, and the approximation error remains at the acceptable value</p></abstract><trans-abstract xml:lang="ru"><p>Предложен новый алгоритм расч ё та параметров ламина рного пламени в горючей смеси. От известных опт имизационных алгоритмов разработку отличает способ аппроксимации точного решения задачи — постулир уется реалистичный вид не температурного поля, а его производной по автомодельной переменной. В р езультате проц едура определения эффективных параметров модели упростилась, а погрешность аппроксим ации сохранилась на приемлемом уровне.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>волна горения</kwd><kwd>аппроксимация</kwd><kwd>методы оптимизации .</kwd></kwd-group><kwd-group xml:lang="en"><kwd>combustion wave</kwd><kwd>approximation</kwd><kwd>optimization technique.</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Кернер, Б. С. Автосолитоны: локализованные сильно-неравновесные области в однородных диссипативных системах / Б. С. Кернер, В. В. Осипов. — Москва: Наука, 1991. — 200 с.</mixed-citation><mixed-citation xml:lang="en">Kerner, B. S. Avtosolitony`: lokalizovanny`e sil`no-neravnovesny`e oblasti v odnorodny`x dissipativny`x sistemax / B. S. Kerner, V. V. 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