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September-2018
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Journal of Emerging Technologies and Innovative Research ( An International Scholarly Open Access Journal, Peer-reviewed, Refereed, Crossref DOI Journal )
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UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975
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Published Paper ID:
JETIR1809431
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188546
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Title
A NEW ONE-STEP RATIONAL METHOD FOR SOLVING STIFF AND NON-STIFF DELAY DIFFERENTIAL EQUATIONS
Abstract
This paper presents the one-step fourth order rational method to solve the Delay differential equations (DDEs) by using interpolating function which consists of rational function. The delay argument is approximated using Lagrange interpolation. The stability polynomial of this method and the corresponding stability region are obtained. The applicability of this method has been demonstrated by numerical examples of stiff and non-stiff DDEs with constant delay, time dependent delay and state dependent delays. The numerical results are compared with the theoretical solution.
Key Words
Lagrange interpolation, One-Step Method, Rational function, Stability polynomial and Stability region, Stiff and Non-Stiff Delay differential equations.
Cite This Article
"A NEW ONE-STEP RATIONAL METHOD FOR SOLVING STIFF AND NON-STIFF DELAY DIFFERENTIAL EQUATIONS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 9, page no.164-171, September-2018, Available :http://www.jetir.org/papers/JETIR1809431.pdf
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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator
Cite This Article
"A NEW ONE-STEP RATIONAL METHOD FOR SOLVING STIFF AND NON-STIFF DELAY DIFFERENTIAL EQUATIONS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 9, page no. pp164-171, September-2018, Available at : http://www.jetir.org/papers/JETIR1809431.pdf
Publication Details
Published Paper ID: JETIR1809431
Registration ID: 188546
Published In: Volume 5 | Issue 9 | Year September-2018
Page No: 164-171
Country: Tiruchirappalli, Tamilnadu, India .
Area: Applied Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication
Published Paper URL :: https://www.jetir.org/view?paper=JETIR1809431
Published Paper PDF: https://www.jetir.org/papers/JETIR1809431
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