A new class of rational multistep methods for the numerical solution of first order initial value problems
In this paper, we have developed a new class of 2-step rational multistep methods (RMMs) in second to fifth order of accuracy.We have presented the developments of these RMMs, as well as the local truncation error and stability analysis for each RMM that we have developed.Numerical experiments have...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Jabatan Matematik Universiti Teknologi Malaysia
2011
|
| Subjects: | |
| Online Access: | https://repo.uum.edu.my/id/eprint/7675/1/A_New.pdf |
| _version_ | 1825802174898110464 |
|---|---|
| author | Teh, Yuan Ying Yaacob, Nazeeruddin Alias, Norma |
| author_facet | Teh, Yuan Ying Yaacob, Nazeeruddin Alias, Norma |
| author_sort | Teh, Yuan Ying |
| collection | UUM |
| description | In this paper, we have developed a new class of 2-step rational multistep methods (RMMs) in second to fifth order of accuracy.We have presented the developments of these RMMs, as well as the local truncation error and stability analysis
for each RMM that we have developed.Numerical experiments have shown that all RMMs presented in this paper are suitable to solve initial value problem of various dimensions and also stiff problems. |
| first_indexed | 2024-07-04T05:34:38Z |
| format | Article |
| id | uum-7675 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T05:34:38Z |
| publishDate | 2011 |
| publisher | Jabatan Matematik Universiti Teknologi Malaysia |
| record_format | eprints |
| spelling | uum-76752013-05-22T06:55:55Z https://repo.uum.edu.my/id/eprint/7675/ A new class of rational multistep methods for the numerical solution of first order initial value problems Teh, Yuan Ying Yaacob, Nazeeruddin Alias, Norma QA Mathematics In this paper, we have developed a new class of 2-step rational multistep methods (RMMs) in second to fifth order of accuracy.We have presented the developments of these RMMs, as well as the local truncation error and stability analysis for each RMM that we have developed.Numerical experiments have shown that all RMMs presented in this paper are suitable to solve initial value problem of various dimensions and also stiff problems. Jabatan Matematik Universiti Teknologi Malaysia 2011 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/7675/1/A_New.pdf Teh, Yuan Ying and Yaacob, Nazeeruddin and Alias, Norma (2011) A new class of rational multistep methods for the numerical solution of first order initial value problems. Matematika, 27 (1). pp. 59-78. ISSN 0127-8274 http://www.fs.utm.my/matematika/ |
| spellingShingle | QA Mathematics Teh, Yuan Ying Yaacob, Nazeeruddin Alias, Norma A new class of rational multistep methods for the numerical solution of first order initial value problems |
| title | A new class of rational multistep methods for the numerical solution of first order initial value problems |
| title_full | A new class of rational multistep methods for the numerical solution of first order initial value problems |
| title_fullStr | A new class of rational multistep methods for the numerical solution of first order initial value problems |
| title_full_unstemmed | A new class of rational multistep methods for the numerical solution of first order initial value problems |
| title_short | A new class of rational multistep methods for the numerical solution of first order initial value problems |
| title_sort | new class of rational multistep methods for the numerical solution of first order initial value problems |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/7675/1/A_New.pdf |
| work_keys_str_mv | AT tehyuanying anewclassofrationalmultistepmethodsforthenumericalsolutionoffirstorderinitialvalueproblems AT yaacobnazeeruddin anewclassofrationalmultistepmethodsforthenumericalsolutionoffirstorderinitialvalueproblems AT aliasnorma anewclassofrationalmultistepmethodsforthenumericalsolutionoffirstorderinitialvalueproblems AT tehyuanying newclassofrationalmultistepmethodsforthenumericalsolutionoffirstorderinitialvalueproblems AT yaacobnazeeruddin newclassofrationalmultistepmethodsforthenumericalsolutionoffirstorderinitialvalueproblems AT aliasnorma newclassofrationalmultistepmethodsforthenumericalsolutionoffirstorderinitialvalueproblems |