Solving stiff ordinary differential equations using extended block backward differentiation formulae.
A comprehensive research on the existing Block Backward Differentiation Formulae (BBDF) was done. Based on the suitability in solving stiff ordinary differential equations (ODEs), BBDF of order 3 up 5 is collected using simplified strategy in controlling the step size and order of the method. Thus,...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Book Section |
| Language: | English |
| Published: |
Springer
2013
|
| _version_ | 1825947880675868672 |
|---|---|
| author | Mohd Yatim, Siti Ainor Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed |
| author2 | Yang, Gi Chul |
| author_facet | Yang, Gi Chul Mohd Yatim, Siti Ainor Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed |
| author_sort | Mohd Yatim, Siti Ainor |
| collection | UPM |
| description | A comprehensive research on the existing Block Backward Differentiation Formulae (BBDF) was done. Based on the suitability in solving stiff ordinary differential equations (ODEs), BBDF of order 3 up 5 is collected using simplified strategy in controlling the step size and order of the method. Thus, Extended Block Backward Differentiation Formulae (EBBDF) is derived with the intention of optimizing the performance in terms of precision and computation time. The accuracy of the method are investigated using linear and non linear stiff initial value problems and its performance is compared with MATLAB’s suite of ODEs solvers namely ode15s and ode23s. |
| first_indexed | 2024-03-06T08:20:12Z |
| format | Book Section |
| id | upm.eprints-31319 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:20:12Z |
| publishDate | 2013 |
| publisher | Springer |
| record_format | dspace |
| spelling | upm.eprints-313192014-07-23T03:23:54Z http://psasir.upm.edu.my/id/eprint/31319/ Solving stiff ordinary differential equations using extended block backward differentiation formulae. Mohd Yatim, Siti Ainor Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed A comprehensive research on the existing Block Backward Differentiation Formulae (BBDF) was done. Based on the suitability in solving stiff ordinary differential equations (ODEs), BBDF of order 3 up 5 is collected using simplified strategy in controlling the step size and order of the method. Thus, Extended Block Backward Differentiation Formulae (EBBDF) is derived with the intention of optimizing the performance in terms of precision and computation time. The accuracy of the method are investigated using linear and non linear stiff initial value problems and its performance is compared with MATLAB’s suite of ODEs solvers namely ode15s and ode23s. Springer Yang, Gi Chul Ao, Sio Long Gelman, Len 2013 Book Section PeerReviewed Mohd Yatim, Siti Ainor and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar and Suleiman, Mohamed (2013) Solving stiff ordinary differential equations using extended block backward differentiation formulae. In: IAENG Transactions On Engineering Technologies. Lecture Notes in Electrical Engineering (229). Springer, Netherlands, pp. 31-43. ISBN 9789400761896; EISBN: 9789400761902 10.1007/978-94-007-6190-2_3 English |
| spellingShingle | Mohd Yatim, Siti Ainor Ibrahim, Zarina Bibi Othman, Khairil Iskandar Suleiman, Mohamed Solving stiff ordinary differential equations using extended block backward differentiation formulae. |
| title | Solving stiff ordinary differential equations using extended block backward differentiation formulae. |
| title_full | Solving stiff ordinary differential equations using extended block backward differentiation formulae. |
| title_fullStr | Solving stiff ordinary differential equations using extended block backward differentiation formulae. |
| title_full_unstemmed | Solving stiff ordinary differential equations using extended block backward differentiation formulae. |
| title_short | Solving stiff ordinary differential equations using extended block backward differentiation formulae. |
| title_sort | solving stiff ordinary differential equations using extended block backward differentiation formulae |
| work_keys_str_mv | AT mohdyatimsitiainor solvingstiffordinarydifferentialequationsusingextendedblockbackwarddifferentiationformulae AT ibrahimzarinabibi solvingstiffordinarydifferentialequationsusingextendedblockbackwarddifferentiationformulae AT othmankhairiliskandar solvingstiffordinarydifferentialequationsusingextendedblockbackwarddifferentiationformulae AT suleimanmohamed solvingstiffordinarydifferentialequationsusingextendedblockbackwarddifferentiationformulae |