Numerical method to solution of generalized model Buckley-Leverett in a class of discontinuous functions
A new numerical method is proposed for solving the generalized Buckley-Leverett problem, which describes the movement of two-phase mixtures of Bazhenov bed sediments in a class of discontinuous functions. To this end, we introduce an auxiliary problem that has advantages over the main problem, and...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2023-03-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/558 |
| _version_ | 1797371296977256448 |
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| author | B. Sinsoysal M. Rasulov R. Iskenderova |
| author_facet | B. Sinsoysal M. Rasulov R. Iskenderova |
| author_sort | B. Sinsoysal |
| collection | DOAJ |
| description |
A new numerical method is proposed for solving the generalized Buckley-Leverett problem, which describes the movement of two-phase mixtures of Bazhenov bed sediments in a class of discontinuous functions. To this end, we introduce an auxiliary problem that has advantages over the main problem, and using these advantages, an original finite difference method to solve of the auxiliary problem is developed. Using the suggested auxiliary problem, a solution which expresses exactly all physical characteristics of the problem is obtained.
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| first_indexed | 2024-03-08T18:17:46Z |
| format | Article |
| id | doaj.art-938fa170fa8c4eea8a30e175f0342120 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:17:46Z |
| publishDate | 2023-03-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-938fa170fa8c4eea8a30e175f03421202023-12-31T10:28:19ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112023-03-01109110.31489/2023m1/131-140Numerical method to solution of generalized model Buckley-Leverett in a class of discontinuous functionsB. SinsoysalM. RasulovR. Iskenderova A new numerical method is proposed for solving the generalized Buckley-Leverett problem, which describes the movement of two-phase mixtures of Bazhenov bed sediments in a class of discontinuous functions. To this end, we introduce an auxiliary problem that has advantages over the main problem, and using these advantages, an original finite difference method to solve of the auxiliary problem is developed. Using the suggested auxiliary problem, a solution which expresses exactly all physical characteristics of the problem is obtained. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/558generalized Buckley-Leverett problemauxiliary problemfinite differences method in a class of discontinuous functions |
| spellingShingle | B. Sinsoysal M. Rasulov R. Iskenderova Numerical method to solution of generalized model Buckley-Leverett in a class of discontinuous functions Қарағанды университетінің хабаршысы. Математика сериясы generalized Buckley-Leverett problem auxiliary problem finite differences method in a class of discontinuous functions |
| title | Numerical method to solution of generalized model Buckley-Leverett in a class of discontinuous functions |
| title_full | Numerical method to solution of generalized model Buckley-Leverett in a class of discontinuous functions |
| title_fullStr | Numerical method to solution of generalized model Buckley-Leverett in a class of discontinuous functions |
| title_full_unstemmed | Numerical method to solution of generalized model Buckley-Leverett in a class of discontinuous functions |
| title_short | Numerical method to solution of generalized model Buckley-Leverett in a class of discontinuous functions |
| title_sort | numerical method to solution of generalized model buckley leverett in a class of discontinuous functions |
| topic | generalized Buckley-Leverett problem auxiliary problem finite differences method in a class of discontinuous functions |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/558 |
| work_keys_str_mv | AT bsinsoysal numericalmethodtosolutionofgeneralizedmodelbuckleyleverettinaclassofdiscontinuousfunctions AT mrasulov numericalmethodtosolutionofgeneralizedmodelbuckleyleverettinaclassofdiscontinuousfunctions AT riskenderova numericalmethodtosolutionofgeneralizedmodelbuckleyleverettinaclassofdiscontinuousfunctions |