Solving Parabolic Partial Delay Differential Equations Using The Explicit Method And Higher Order Differences

Authors

  • Amal Khalaf Haydar

DOI:

https://doi.org/10.31642/JoKMC/2018/010707

Keywords:

derivative, Parabolic Partial

Abstract

In this paper we use the higher order differences for second order (derivative)  in solving  parabolic partial delay differential equations by using the explicit method and we get results are more closer to the exact values than the results which can be obtained if the familiar second order (derivative) form is used.  Finally ,we make a comparison using Matlab  between the  results through two  tables of values form [ 3] which results from  Taylor series expansions of a function centered on the grid point  . In this paper, we use the higher order differences for second order instead of the familiar form for solving the parabolic delay differential equations .

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References

M., Bodnar, 2000, The Nonnegativity of Solutions of Delay Differential Equations, Applied Mathematics Letters, Vol.13, pp.91-95. DOI: https://doi.org/10.1016/S0893-9659(00)00061-6

S., Yi, P.W. Nelson and A.G.Ulson, 2007, Delay Differential Equations Via The Matrix Lambert W Function and Bifurcation Analysis : Application to Machine tool Chatter,Mathematical Biosciences and Engineering , Vol.4 No.2, pp.355-368. DOI: https://doi.org/10.3934/mbe.2007.4.355

G..,, Jasiim,,2007,, On The Solluttiions off Liinearr Parrttiiall Dellay Diifffferrenttiiall Equattiions,, M..sc.. Thesiis,, Uniiverrsiitty off Baghdad,, Baghdad--IIrraq..

. H.. C..,, Saxena,, 2008,, Fiiniitte Diifffferrences and Numerriicall Anallysiis,, Ram Nagarr,, New Dellhii..

. L.. V..,, Fausetttt,, 2008,, Applliied Numerriicall Anallysiis Usiing Mattllab,, 2nd ed..,, Pearrson Prrenttiice--Hallll,, New Yorrk.

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Published

2013-12-01

How to Cite

Haydar, A. K. (2013). Solving Parabolic Partial Delay Differential Equations Using The Explicit Method And Higher Order Differences. Journal of Kufa for Mathematics and Computer, 1(7), 47–53. https://doi.org/10.31642/JoKMC/2018/010707

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