Approximate solution of the special type differential equation of higher order using Taylor's series

Volume 27, Issue 2, pp 131--141 http://dx.doi.org/10.22436/jmcs.027.02.04

Publication Date: April 13, 2022 Submission Date: December 19, 2021 Revision Date: January 17, 2022 Accteptance Date: February 01, 2022

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Authors

A. P. Selvan - Department of Mathematics, Kings Engineering College, Irungattukottai, Sriperumbudur, Chennai, 602 117, Tamil Nadu, India. S. Sabarinathan - Department of Mathematics, SRM Institute of Science \(\&\) Technology, Kattankulthur, 603 203, Tamil Nadu, India. A. Selvam - Department of Mathematics, SRM Institute of Science \(\&\) Technology, Kattankulthur, 603 203, Tamil Nadu, India.

Abstract

We study the approximate solution of the special type \(n^{th}\) order linear differential equation by applying initial and boundary conditions using Taylor's series formula. That is, we prove the sufficient condition for the Mittag-Leffler-Hyers-Ulam stability and Mittag-Leffler-Hyers-Ulam-Rassias stability of the special type linear differential equation of higher order with initial and boundary conditions using Taylor's series formula.

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Keywords

• Mittag-Leffler-Hyers-Ulam stability
• Mittage-Leffler-Hyers-Ulam-Rassias stability
• linear differential equations
• initial and boundary conditions
• Taylor's series formula

MSC

•  34K20
•  26D10
•  44A10
•  39B82
•  34A40
•  39A30

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