On Some Boundary Value Methods
Open Access
- 10 May 2022
- journal article
- Published by Earthline Publishers in Earthline Journal of Mathematical Sciences
- Vol. 9 (2), 249-264
- https://doi.org/10.34198/ejms.9222.249264
Abstract
Circumventing order restrictions on numerical methods designed for the integration of stiff initial value problem is the concern here via Boundary Value Method. The attainable order p = k+v and linear stability properties of the methods are discussed. The numerical test on some stiff problems shows that the new methods developed, compare favourably with existing methods, with ODE15s of MATLAB used as reference numerical solution.Keywords
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