High order stiffly stable parameter dependent nested hybrid linear multistep methods for stiff ODEs

توێژەران

  • G.A. Akhanolu Department of Mathematics, Faculty of Physical Sciences, Ambrose Alli University, Ekpoma, Edo State, Nigeria
  • N.V. Ekpu Department of Mathematics and Statistics, Delta State Polytechnics, Ogwashi-uku, Delta State

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nested hybrid multi-step methods##common.commaListSeparator## implicit methods##common.commaListSeparator## A-stable##common.commaListSeparator## A(  )- stability

پوختە

In this work, we proposed a High Order Stiffly Stable parameter dependent nested hybrid linear multistep method for stiff initial value problems (IVPs) in ordinary differential equations (ODEs). It forms a super class of the linear multistep methods (LMMs), with properties that embedded the characteristics of LMM and hybrid methods. It is hybrid in nature as a result of the incorporation of one or more off-step points and this is aimed at attaining a better stability properties and higher order than the conventional linear multistep methods (LMMs). The proposed method is A- stable and A(α) –stable for step number k ≤ 6. A numerical example is given to demonstrate the application of the methods.

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بڵاو کرایەوە

2023-10-31

چۆنییەتی بەکارهێنانی سەرچاوە

Akhanolu, G. ., & Ekpu, N. . (2023). High order stiffly stable parameter dependent nested hybrid linear multistep methods for stiff ODEs. International Journal of Mathematical Analysis and Modelling, 6(2). Retrieved from https://journal.tnsmb.org/index.php/ijmam/article/view/113

ژمارە

بەرگ 6 ژمارە 2 (2023): Volume 6, Issue 2 (Oct. - Nov. 2023)

بەش

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