Year 2020, Volume 17 , Issue 2, Pages 80 - 95 2020-11-01

Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations

Muideen OGUNNİRAN [1] , Yahaya HARUNA [2] , Rapheal ADENİYİ [3] , Morufu Oyedunsi OLAYİWOLA [4]


This paper presents the construction and implementation of a three-step optimized hybrid method for solving stiff system of first order initial value problems of ordinary differential equations. The method contains six implicit formulas which were obtained from a continuous approximation, using shifted chebyshev polynomial as the basis function, via evaluations at six different points on the selected three-step including three optimized intra-step points. The method is consistent, zero-stable and convergent. Numerical experiments are included to show the competitive and superior strength of the proposed method for solving these kinds of problems over similar properties of methods in literature.
Optimized Hybrid Methods, Singularity, Stiff Problems, Intra-step Points
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Primary Language en
Subjects Engineering
Published Date guz
Journal Section Articles
Authors

Author: Muideen OGUNNİRAN (Primary Author)
Institution: Osun State University, Osogbo Nigeria
Country: Nigeria


Author: Yahaya HARUNA
Institution: University of Ilorin, Ilorin
Country: Nigeria


Author: Rapheal ADENİYİ
Institution: University of Ilorin, Ilorin
Country: Nigeria


Author: Morufu Oyedunsi OLAYİWOLA
Institution: Osun State University, Osogbo
Country: Nigeria


Thanks The authors appreciate the anonymous reviewers for their work and criticism that greatly improve the manuscript.
Dates

Publication Date : November 1, 2020

Bibtex @research article { cankujse733487, journal = {Cankaya University Journal of Science and Engineering}, issn = {}, eissn = {2564-7954}, address = {}, publisher = {Cankaya University}, year = {2020}, volume = {17}, pages = {80 - 95}, doi = {}, title = {Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations}, key = {cite}, author = {Ogunni̇ran, Muideen and Haruna, Yahaya and Adeni̇yi̇, Rapheal and Olayi̇wola, Morufu Oyedunsi} }
APA Ogunni̇ran, M , Haruna, Y , Adeni̇yi̇, R , Olayi̇wola, M . (2020). Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations . Cankaya University Journal of Science and Engineering , 17 (2) , 80-95 . Retrieved from https://dergipark.org.tr/en/pub/cankujse/issue/57636/733487
MLA Ogunni̇ran, M , Haruna, Y , Adeni̇yi̇, R , Olayi̇wola, M . "Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations" . Cankaya University Journal of Science and Engineering 17 (2020 ): 80-95 <https://dergipark.org.tr/en/pub/cankujse/issue/57636/733487>
Chicago Ogunni̇ran, M , Haruna, Y , Adeni̇yi̇, R , Olayi̇wola, M . "Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations". Cankaya University Journal of Science and Engineering 17 (2020 ): 80-95
RIS TY - JOUR T1 - Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations AU - Muideen Ogunni̇ran , Yahaya Haruna , Rapheal Adeni̇yi̇ , Morufu Oyedunsi Olayi̇wola Y1 - 2020 PY - 2020 N1 - DO - T2 - Cankaya University Journal of Science and Engineering JF - Journal JO - JOR SP - 80 EP - 95 VL - 17 IS - 2 SN - -2564-7954 M3 - UR - Y2 - 2020 ER -
EndNote %0 Cankaya University Journal of Science and Engineering Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations %A Muideen Ogunni̇ran , Yahaya Haruna , Rapheal Adeni̇yi̇ , Morufu Oyedunsi Olayi̇wola %T Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations %D 2020 %J Cankaya University Journal of Science and Engineering %P -2564-7954 %V 17 %N 2 %R %U
ISNAD Ogunni̇ran, Muideen , Haruna, Yahaya , Adeni̇yi̇, Rapheal , Olayi̇wola, Morufu Oyedunsi . "Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations". Cankaya University Journal of Science and Engineering 17 / 2 (November 2020): 80-95 .
AMA Ogunni̇ran M , Haruna Y , Adeni̇yi̇ R , Olayi̇wola M . Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations. CUJSE. 2020; 17(2): 80-95.
Vancouver Ogunni̇ran M , Haruna Y , Adeni̇yi̇ R , Olayi̇wola M . Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations. Cankaya University Journal of Science and Engineering. 2020; 17(2): 80-95.
IEEE M. Ogunni̇ran , Y. Haruna , R. Adeni̇yi̇ and M. Olayi̇wola , "Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations", Cankaya University Journal of Science and Engineering, vol. 17, no. 2, pp. 80-95, Nov. 2020