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http://hdl.handle.net/123456789/2653
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| Title: | High Order A-Stable Block ETR2s and their Application to System of First Order Odes |
| Authors: | Awari, Y.S.
Garba, E.J.D.
Kumleng, G.M. |
| Keywords: | Extended Trapezoidal Rule of Second kind
Stiff System
Power Series, A( )-Stability Scientific Computation
A-Stable Method
Ordinary Differential Equations, and Collocation Method |
| Issue Date: | Dec-2017 |
| Publisher: | Asian Journal of Natural & Applied Sciences |
| Series/Report no.: | Vol. 6;No. 4; Pp 36-43 |
| Abstract: | An eighth order block Extended Trapezoidal Rule of Second kind (ETR₂s) is presented
for the numerical integration of stiff system of first-order ordinary differential
equations. In the derivation process, we adopt the power series approach which leads
to a system of equations that would be solved simultaneously in block form to generate approximate solution for the differential equations. The stability properties of the method are also presented. Some test, reported to emphasize pros and cons of the method. |
| URI: | http://hdl.handle.net/123456789/2653 |
| ISSN: | 2186-8476
2186-8468 |
| Appears in Collections: | Mathematics
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