A New Two Derivative FSAL Runge-Kutta Method of Order Five in Four Stages
A new efficient Two Derivative Runge-Kutta method (TDRK) of order five is developed for the numerical solution of the special first order ordinary differential equations (ODEs). The new method is derived using the property of First Same As Last (FSAL). We analyzed the stability of our method. The nu...
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University of Baghdad, College of Science for Women
2020-03-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4934 |
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| author | Hussain et al. |
| author_facet | Hussain et al. |
| author_sort | Hussain et al. |
| collection | DOAJ |
| description | A new efficient Two Derivative Runge-Kutta method (TDRK) of order five is developed for the numerical solution of the special first order ordinary differential equations (ODEs). The new method is derived using the property of First Same As Last (FSAL). We analyzed the stability of our method. The numerical results are presented to illustrate the efficiency of the new method in comparison with some well-known RK methods. |
| format | Article |
| id | doaj-art-ebe38b0902a74bd5a8d1f45292c8f3d5 |
| institution | Matheson Library |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2020-03-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-ebe38b0902a74bd5a8d1f45292c8f3d52025-08-02T22:38:13ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862020-03-0117110.21123/bsj.2020.17.1.0166A New Two Derivative FSAL Runge-Kutta Method of Order Five in Four StagesHussain et al.A new efficient Two Derivative Runge-Kutta method (TDRK) of order five is developed for the numerical solution of the special first order ordinary differential equations (ODEs). The new method is derived using the property of First Same As Last (FSAL). We analyzed the stability of our method. The numerical results are presented to illustrate the efficiency of the new method in comparison with some well-known RK methods.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4934Explicit methods, FSAL property, Initial value problems, Two Derivative Runge-Kutta method |
| spellingShingle | Hussain et al. A New Two Derivative FSAL Runge-Kutta Method of Order Five in Four Stages مجلة بغداد للعلوم Explicit methods, FSAL property, Initial value problems, Two Derivative Runge-Kutta method |
| title | A New Two Derivative FSAL Runge-Kutta Method of Order Five in Four Stages |
| title_full | A New Two Derivative FSAL Runge-Kutta Method of Order Five in Four Stages |
| title_fullStr | A New Two Derivative FSAL Runge-Kutta Method of Order Five in Four Stages |
| title_full_unstemmed | A New Two Derivative FSAL Runge-Kutta Method of Order Five in Four Stages |
| title_short | A New Two Derivative FSAL Runge-Kutta Method of Order Five in Four Stages |
| title_sort | new two derivative fsal runge kutta method of order five in four stages |
| topic | Explicit methods, FSAL property, Initial value problems, Two Derivative Runge-Kutta method |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4934 |
| work_keys_str_mv | AT hussainetal anewtwoderivativefsalrungekuttamethodoforderfiveinfourstages AT hussainetal newtwoderivativefsalrungekuttamethodoforderfiveinfourstages |