Parameter Class for Solving Delay Differential Equations

Authors

  • Iman Ibrahim Ain Shams University, University College for Women (Arts, Science, and Education),
  • Fatma M.Yousry

DOI:

https://doi.org/10.24297/jam.v10i9.1905

Keywords:

Linear multistep methods, Delay differential equations, P-stable, Q-stable.

Abstract

In this paper a parameter class of Linear multistep method are applied to solve delay differential equations of the form y’(t) = f(t; y(t); y(t- t(t))), (t >0) subject to the initial condition y(t) = j (t) for tmin =<t <= 0 , t > 0 . The stability properties when the methods were applied to the test equation with a fixed delay t ; y’(t) = λy(t) + µy(t - t ); t ³ 0; are studied λ; µ are complex constants and Ф(t) is a continuous complex-valued function. The stability regions are plotted and numerical results are introduced.

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Author Biography

Fatma M.Yousry

Ain Shams University, University College for Women (Arts, Science, and Education), Cairo,

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Published

2015-07-04

How to Cite

Ibrahim, I., & M.Yousry, F. (2015). Parameter Class for Solving Delay Differential Equations. JOURNAL OF ADVANCES IN MATHEMATICS, 10(9), 3846–3861. https://doi.org/10.24297/jam.v10i9.1905

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Section

Articles