NUMERICAL METHODS OF SOLUTION OF BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS OF THE SECOND ORDER
In this paper, some numerical methods for solving differential-algebraic equations of the second order are considered. We give conditions under which the algorithms are stable and converge to the exact solution of the original problem. Numerical examples are given.
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| Format: | Article |
| Language: | English |
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Dalat University
2012-06-01
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| Series: | Tạp chí Khoa học Đại học Đà Lạt |
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| Online Access: | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/190 |
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| author | Mikhail Valeryanovich Buiaun Nicolai Petrovich Rakhvalov Tạ Duy Phượng |
| author_facet | Mikhail Valeryanovich Buiaun Nicolai Petrovich Rakhvalov Tạ Duy Phượng |
| author_sort | Mikhail Valeryanovich Buiaun |
| collection | DOAJ |
| description | In this paper, some numerical methods for solving differential-algebraic equations of the second order are considered. We give conditions under which the algorithms are stable and converge to the exact solution of the original problem. Numerical examples are given. |
| format | Article |
| id | doaj-art-669c14ac6588467e9235abd76d7e4004 |
| institution | Kabale University |
| issn | 0866-787X |
| language | English |
| publishDate | 2012-06-01 |
| publisher | Dalat University |
| record_format | Article |
| series | Tạp chí Khoa học Đại học Đà Lạt |
| spelling | doaj-art-669c14ac6588467e9235abd76d7e40042025-02-02T01:46:42ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2012-06-012210.37569/DalatUniversity.2.2.190(2012)NUMERICAL METHODS OF SOLUTION OF BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS OF THE SECOND ORDERMikhail Valeryanovich Buiaun0Nicolai Petrovich Rakhvalov1Tạ Duy Phượng2Institute of System Dynamics and Control Theory, Siberian Branch of Russian Academy of SciencesEast Siberian State Academy of EducationDepartment of Numerical Analysis and Scientific Computing, Institute of Mathematics, Academy of Science and TechnologyIn this paper, some numerical methods for solving differential-algebraic equations of the second order are considered. We give conditions under which the algorithms are stable and converge to the exact solution of the original problem. Numerical examples are given.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/190Linear Differential-Algebraic EquationsBoundary-Value ProblemMatrix Polynomials |
| spellingShingle | Mikhail Valeryanovich Buiaun Nicolai Petrovich Rakhvalov Tạ Duy Phượng NUMERICAL METHODS OF SOLUTION OF BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS OF THE SECOND ORDER Tạp chí Khoa học Đại học Đà Lạt Linear Differential-Algebraic Equations Boundary-Value Problem Matrix Polynomials |
| title | NUMERICAL METHODS OF SOLUTION OF BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS OF THE SECOND ORDER |
| title_full | NUMERICAL METHODS OF SOLUTION OF BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS OF THE SECOND ORDER |
| title_fullStr | NUMERICAL METHODS OF SOLUTION OF BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS OF THE SECOND ORDER |
| title_full_unstemmed | NUMERICAL METHODS OF SOLUTION OF BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS OF THE SECOND ORDER |
| title_short | NUMERICAL METHODS OF SOLUTION OF BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS OF THE SECOND ORDER |
| title_sort | numerical methods of solution of boundary value problem for differential algebraic equations of the second order |
| topic | Linear Differential-Algebraic Equations Boundary-Value Problem Matrix Polynomials |
| url | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/190 |
| work_keys_str_mv | AT mikhailvaleryanovichbuiaun numericalmethodsofsolutionofboundaryvalueproblemfordifferentialalgebraicequationsofthesecondorder AT nicolaipetrovichrakhvalov numericalmethodsofsolutionofboundaryvalueproblemfordifferentialalgebraicequationsofthesecondorder AT taduyphuong numericalmethodsofsolutionofboundaryvalueproblemfordifferentialalgebraicequationsofthesecondorder |