ON EFFICIENT FRACTIONAL CAPUTO-TYPE SIMULTANEOUS SCHEME FOR FINDING ALL ROOTS OF POLYNOMIAL EQUATIONS WITH BIOMEDICAL ENGINEERING APPLICATIONS

This research paper introduces a novel fractional Caputo-type simultaneous method for finding all simple and multiple roots of polynomial equations. Without any additional polynomial and derivative evaluations using suitable correction, the order of convergence of the basic Aberth–Ehrlich simultaneous method has been increased from three to [Formula: see text]. In terms of accuracy, residual graph, computational efficiency and computation CPU time, the newly proposed families of simultaneous methods outperforms existing methods in numerical applications.

Authors
SHAMS MUDASSIR1 , KAUSAR NASREEN2 , SAMANIEGO CUAUHTÉMOC3 , AGARWAL PRAVEEN 4, 5, 6 , AHMED S.F.7 , MOMANI SHAHER8
Journal
Publisher
World Scientific Publishing Co.
Number of issue
04
Language
English
Status
Published
Volume
31
Year
2023
Organizations
  • 1 Department of Mathematics and Statistics, Riphah International University, Islamabad 44000, Pakistan
  • 2 Department of Mathematics, Yildiz Technical University, Faculty of Arts and Science, Esenler, 34220 Istanbul, Turkey
  • 3 American University of the Middle East, Department of Mathematics and Statistics, Egaila 54200, Kuwait
  • 4 Department of Mathematics, Anand International, College of Engineering Jaipur, Rajasthan, India
  • 5 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow, Russian Federation
  • 6 Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE
  • 7 Science and Math Program, Asian University for Women, Chattogram 4000, Bangladesh
  • 8 Department of Mathematics, The University of Jordan, Amman 11942, Jordan
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Zharkova I.I., Volkov A.V., Muraev A.A., Makhina T.K., Voinova V.V., Ryabova V.M., Gazhva Y.V., Kashirina A.S., Kashina A.V., Bonartseva G.A., Zhuikov V.A., Shaitan K.V., Kirpichnikov M.P., Ivanov S.Y., Bonartsev A.P.
International Journal of Molecular Sciences. MDPI AG. Vol. 24. 2023. 6965 p.