Analytical Approximate Solution of Chemical Kinetics Problems
In this article, the chemical kinetics problem is presented. The Differential Transformation Method (DTM) is presented to find an approximate analytical solution to the chemical kinetics problems. Proposed problem is system of nonlinear ordinary differential equations. We show converges analysis of...
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| Format: | Article |
| Language: | English |
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REA Press
2022-09-01
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| Series: | Computational Algorithms and Numerical Dimensions |
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| Online Access: | https://www.journal-cand.com/article_155255_1fcfa78c36abf5f23403e4e08c0226a8.pdf |
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| author | Hatıra Günerhan |
| author_facet | Hatıra Günerhan |
| author_sort | Hatıra Günerhan |
| collection | DOAJ |
| description | In this article, the chemical kinetics problem is presented. The Differential Transformation Method (DTM) is presented to find an approximate analytical solution to the chemical kinetics problems. Proposed problem is system of nonlinear ordinary differential equations. We show converges analysis of the differential transform method. DTM applied to two examples. The method shows the form of fast converging series and the results prove the applicability of the proposed method, which gives accurate results. |
| format | Article |
| id | doaj-art-c8e490ce92a2481cbb74ea291124d2fb |
| institution | Kabale University |
| issn | 2980-7646 2980-9320 |
| language | English |
| publishDate | 2022-09-01 |
| publisher | REA Press |
| record_format | Article |
| series | Computational Algorithms and Numerical Dimensions |
| spelling | doaj-art-c8e490ce92a2481cbb74ea291124d2fb2025-01-30T11:20:54ZengREA PressComputational Algorithms and Numerical Dimensions2980-76462980-93202022-09-01139810310.22105/cand.2022.155255155255Analytical Approximate Solution of Chemical Kinetics ProblemsHatıra Günerhan0Department of Mathematics, Faculty of Education, Kafkas University, Kars, Turkey.In this article, the chemical kinetics problem is presented. The Differential Transformation Method (DTM) is presented to find an approximate analytical solution to the chemical kinetics problems. Proposed problem is system of nonlinear ordinary differential equations. We show converges analysis of the differential transform method. DTM applied to two examples. The method shows the form of fast converging series and the results prove the applicability of the proposed method, which gives accurate results.https://www.journal-cand.com/article_155255_1fcfa78c36abf5f23403e4e08c0226a8.pdfchemical kinetic problemsdifferential transform methodpower seriesapproximate analytical solution |
| spellingShingle | Hatıra Günerhan Analytical Approximate Solution of Chemical Kinetics Problems Computational Algorithms and Numerical Dimensions chemical kinetic problems differential transform method power series approximate analytical solution |
| title | Analytical Approximate Solution of Chemical Kinetics Problems |
| title_full | Analytical Approximate Solution of Chemical Kinetics Problems |
| title_fullStr | Analytical Approximate Solution of Chemical Kinetics Problems |
| title_full_unstemmed | Analytical Approximate Solution of Chemical Kinetics Problems |
| title_short | Analytical Approximate Solution of Chemical Kinetics Problems |
| title_sort | analytical approximate solution of chemical kinetics problems |
| topic | chemical kinetic problems differential transform method power series approximate analytical solution |
| url | https://www.journal-cand.com/article_155255_1fcfa78c36abf5f23403e4e08c0226a8.pdf |
| work_keys_str_mv | AT hatıragunerhan analyticalapproximatesolutionofchemicalkineticsproblems |