Superposition Method with the Principle of Multiple Shooting for Solving Stiff Linear Initial Value Problems
The main objective of this paper is the development of a new technique for solving stiff Linear Initial Value Problems (IVPs) in Ordinary Differential Equations (ODEs), The new Technique consists of combining the linear superposition principle with the principle of Multiple shooting. We have applied...
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| Format: | Article |
| Language: | English |
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Mosul University
2005-06-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_164071_1055cd981a0264a863827d8d8128180f.pdf |
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| _version_ | 1849323202489090048 |
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| author | Basheer Khalaf Suhaib Al-Tamr |
| author_facet | Basheer Khalaf Suhaib Al-Tamr |
| author_sort | Basheer Khalaf |
| collection | DOAJ |
| description | The main objective of this paper is the development of a new technique for solving stiff Linear Initial Value Problems (IVPs) in Ordinary Differential Equations (ODEs), The new Technique consists of combining the linear superposition principle with the principle of Multiple shooting.
We have applied the new technique successfully for solving hard stiff IVPs. Also we have studied the ability of the new technique for controlling the stability of the numerical solution of IVPs and how the new technique prevents the accumulation of round off errors. |
| format | Article |
| id | doaj-art-ebdc5f53bb694a79a98bfd3e9e602df3 |
| institution | Kabale University |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2005-06-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-ebdc5f53bb694a79a98bfd3e9e602df32025-08-20T03:49:07ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902005-06-0121112610.33899/csmj.2005.164071164071Superposition Method with the Principle of Multiple Shooting for Solving Stiff Linear Initial Value ProblemsBasheer Khalaf0Suhaib Al-Tamr1College of Education University of Mosul, IraqCollege of Education University of Mosul, IraqThe main objective of this paper is the development of a new technique for solving stiff Linear Initial Value Problems (IVPs) in Ordinary Differential Equations (ODEs), The new Technique consists of combining the linear superposition principle with the principle of Multiple shooting. We have applied the new technique successfully for solving hard stiff IVPs. Also we have studied the ability of the new technique for controlling the stability of the numerical solution of IVPs and how the new technique prevents the accumulation of round off errors.https://csmj.mosuljournals.com/article_164071_1055cd981a0264a863827d8d8128180f.pdfordinary differential equations (odes)stiff linear initial value problems (ivps)superposition principlemultiple shooting |
| spellingShingle | Basheer Khalaf Suhaib Al-Tamr Superposition Method with the Principle of Multiple Shooting for Solving Stiff Linear Initial Value Problems Al-Rafidain Journal of Computer Sciences and Mathematics ordinary differential equations (odes) stiff linear initial value problems (ivps) superposition principle multiple shooting |
| title | Superposition Method with the Principle of Multiple Shooting for Solving Stiff Linear Initial Value Problems |
| title_full | Superposition Method with the Principle of Multiple Shooting for Solving Stiff Linear Initial Value Problems |
| title_fullStr | Superposition Method with the Principle of Multiple Shooting for Solving Stiff Linear Initial Value Problems |
| title_full_unstemmed | Superposition Method with the Principle of Multiple Shooting for Solving Stiff Linear Initial Value Problems |
| title_short | Superposition Method with the Principle of Multiple Shooting for Solving Stiff Linear Initial Value Problems |
| title_sort | superposition method with the principle of multiple shooting for solving stiff linear initial value problems |
| topic | ordinary differential equations (odes) stiff linear initial value problems (ivps) superposition principle multiple shooting |
| url | https://csmj.mosuljournals.com/article_164071_1055cd981a0264a863827d8d8128180f.pdf |
| work_keys_str_mv | AT basheerkhalaf superpositionmethodwiththeprincipleofmultipleshootingforsolvingstifflinearinitialvalueproblems AT suhaibaltamr superpositionmethodwiththeprincipleofmultipleshootingforsolvingstifflinearinitialvalueproblems |