COMPUTATIONAL AND ANALYTICAL MODELS FOR EQUATIONS OF PARABOLIC TYPE WITH APPROXIMATE DATA ON THE BASIS OF METHODS OF APPLIED HARMONIC ANALYSIS AND VARIATIONAL METHOD OF WEIGHTED RESIDUALS
Considered non-stationary equation of mass transfer of impurities in the atmosphere, which is a linear differential equation of parabolic type. It is assumed that the mathematical model requires attracting approximately given initial data or semiempirical functions for their determination. To solve...
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| Format: | Article |
| Language: | Russian |
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North-Caucasus Federal University
2022-09-01
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| Series: | Наука. Инновации. Технологии |
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| Online Access: | https://scienceit.elpub.ru/jour/article/view/379 |
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| author | Igor Eduardovich Naats Victoria Igorevna Naats Roman Andreyevich Ryskalenko |
| author_facet | Igor Eduardovich Naats Victoria Igorevna Naats Roman Andreyevich Ryskalenko |
| author_sort | Igor Eduardovich Naats |
| collection | DOAJ |
| description | Considered non-stationary equation of mass transfer of impurities in the atmosphere, which is a linear differential equation of parabolic type. It is assumed that the mathematical model requires attracting approximately given initial data or semiempirical functions for their determination. To solve this problem in the work builds regulating numerical methods and related computational and analytical models based on the methods of applied harmonic analysis and variational method of weighted residuals. |
| format | Article |
| id | doaj-art-9b5d8e32be3b4d76a081d535a53da145 |
| institution | DOAJ |
| issn | 2308-4758 |
| language | Russian |
| publishDate | 2022-09-01 |
| publisher | North-Caucasus Federal University |
| record_format | Article |
| series | Наука. Инновации. Технологии |
| spelling | doaj-art-9b5d8e32be3b4d76a081d535a53da1452025-08-20T02:49:13ZrusNorth-Caucasus Federal UniversityНаука. Инновации. Технологии2308-47582022-09-01035162378COMPUTATIONAL AND ANALYTICAL MODELS FOR EQUATIONS OF PARABOLIC TYPE WITH APPROXIMATE DATA ON THE BASIS OF METHODS OF APPLIED HARMONIC ANALYSIS AND VARIATIONAL METHOD OF WEIGHTED RESIDUALSIgor Eduardovich Naats0Victoria Igorevna Naats1Roman Andreyevich Ryskalenko2North Caucasus Federal UniversityNorth Caucasus Federal UniversityNorth Caucasus Federal UniversityConsidered non-stationary equation of mass transfer of impurities in the atmosphere, which is a linear differential equation of parabolic type. It is assumed that the mathematical model requires attracting approximately given initial data or semiempirical functions for their determination. To solve this problem in the work builds regulating numerical methods and related computational and analytical models based on the methods of applied harmonic analysis and variational method of weighted residuals.https://scienceit.elpub.ru/jour/article/view/379уравнение массопереносарасчетно-аналитичес-кая модельметоды прикладного гармонического анализарегуляризи-рующие численные методывариационный метод взвешенной невязкиthe equation of mass transfercomputational and analytical modelmethods of applied harmonic analysisregularization numerical methodsvariational method of weighted residuals |
| spellingShingle | Igor Eduardovich Naats Victoria Igorevna Naats Roman Andreyevich Ryskalenko COMPUTATIONAL AND ANALYTICAL MODELS FOR EQUATIONS OF PARABOLIC TYPE WITH APPROXIMATE DATA ON THE BASIS OF METHODS OF APPLIED HARMONIC ANALYSIS AND VARIATIONAL METHOD OF WEIGHTED RESIDUALS Наука. Инновации. Технологии уравнение массопереноса расчетно-аналитичес-кая модель методы прикладного гармонического анализа регуляризи-рующие численные методы вариационный метод взвешенной невязки the equation of mass transfer computational and analytical model methods of applied harmonic analysis regularization numerical methods variational method of weighted residuals |
| title | COMPUTATIONAL AND ANALYTICAL MODELS FOR EQUATIONS OF PARABOLIC TYPE WITH APPROXIMATE DATA ON THE BASIS OF METHODS OF APPLIED HARMONIC ANALYSIS AND VARIATIONAL METHOD OF WEIGHTED RESIDUALS |
| title_full | COMPUTATIONAL AND ANALYTICAL MODELS FOR EQUATIONS OF PARABOLIC TYPE WITH APPROXIMATE DATA ON THE BASIS OF METHODS OF APPLIED HARMONIC ANALYSIS AND VARIATIONAL METHOD OF WEIGHTED RESIDUALS |
| title_fullStr | COMPUTATIONAL AND ANALYTICAL MODELS FOR EQUATIONS OF PARABOLIC TYPE WITH APPROXIMATE DATA ON THE BASIS OF METHODS OF APPLIED HARMONIC ANALYSIS AND VARIATIONAL METHOD OF WEIGHTED RESIDUALS |
| title_full_unstemmed | COMPUTATIONAL AND ANALYTICAL MODELS FOR EQUATIONS OF PARABOLIC TYPE WITH APPROXIMATE DATA ON THE BASIS OF METHODS OF APPLIED HARMONIC ANALYSIS AND VARIATIONAL METHOD OF WEIGHTED RESIDUALS |
| title_short | COMPUTATIONAL AND ANALYTICAL MODELS FOR EQUATIONS OF PARABOLIC TYPE WITH APPROXIMATE DATA ON THE BASIS OF METHODS OF APPLIED HARMONIC ANALYSIS AND VARIATIONAL METHOD OF WEIGHTED RESIDUALS |
| title_sort | computational and analytical models for equations of parabolic type with approximate data on the basis of methods of applied harmonic analysis and variational method of weighted residuals |
| topic | уравнение массопереноса расчетно-аналитичес-кая модель методы прикладного гармонического анализа регуляризи-рующие численные методы вариационный метод взвешенной невязки the equation of mass transfer computational and analytical model methods of applied harmonic analysis regularization numerical methods variational method of weighted residuals |
| url | https://scienceit.elpub.ru/jour/article/view/379 |
| work_keys_str_mv | AT igoreduardovichnaats computationalandanalyticalmodelsforequationsofparabolictypewithapproximatedataonthebasisofmethodsofappliedharmonicanalysisandvariationalmethodofweightedresiduals AT victoriaigorevnanaats computationalandanalyticalmodelsforequationsofparabolictypewithapproximatedataonthebasisofmethodsofappliedharmonicanalysisandvariationalmethodofweightedresiduals AT romanandreyevichryskalenko computationalandanalyticalmodelsforequationsofparabolictypewithapproximatedataonthebasisofmethodsofappliedharmonicanalysisandvariationalmethodofweightedresiduals |