Numerical Techniques for solving ordinary differentialequations with uncertainty

Authors

  • Augus Kurian Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India
  • I R Sumathi Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India

Keywords:

Neutrosophic number, Adams Bashforth, Adams-Moulton, predictor corrector methods

Abstract

 In this article, we derive a numerical solution to the ordinary differential equation with a neutrosophic number
 as the initial condition.The Adams-Bashforth, Adams-Moulton, and predictorcorrector algorithms are used to solve the dif
ferential equation with hexagonal neutrosophic number as the initial condition. The convergence and stability of the methods
 are also investigated.

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Published

2024-09-10

Issue

Vol. 73 (2024): Neutrosophic Sets and Systems {Special Issue: Mediterranean Conference on Three Decades of Neutrosophic and Plithogenic Theories and Applications (MeCoNeT 2024)}, Vol. 73, 2024

Section

Article

License

Copyright (c) 2024 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Augus Kurian, & I R Sumathi. (2024). Numerical Techniques for solving ordinary differentialequations with uncertainty. Neutrosophic Sets and Systems, 73, 324-340. https://fs.unm.edu/nss8/index.php/111/article/view/5046