The Applications of Runge-Kutta Numerical Methods to Numerical Solutions of Several Neutrosophic Problems

In This paper, we develop the Runge-Kutta numerical method to be applied on neutrosophic problems of high orders, where we present generalized neutrosophic versions of Runge-Kutta methods of rank five, six and seven to use them in finding numerical solutions for some neutrosophic differential problems. In addition, we apply our generalized methods to some solid problems with many illustrated examples and numerical tables for comparing the results and the absolute errors.

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Publication Details

Published
2024-12-27
DOI
https://doi.org/10.54216/ijns.250346
Primary Topic
Optimization and Mathematical Programming
Type
article
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The Applications of Runge-Kutta Numerical Methods to Numerical Solutions of Several Neutrosophic Problems

Belal Belal
Optimization and Mathematical Programming
article

The Applications of Runge-Kutta Numerical Methods to Numerical Solutions of Several Neutrosophic Problems

Belal Belal
article en

Abstract

In This paper, we develop the Runge-Kutta numerical method to be applied on neutrosophic problems of high orders, where we present generalized neutrosophic versions of Runge-Kutta methods of rank five, six and seven to use them in finding numerical solutions for some neutrosophic differential problems. In addition, we apply our generalized methods to some solid problems with many illustrated examples and numerical tables for comparing the results and the absolute errors.

Vol. 25(3)
Openalex Percentile: Top 71%
Optimization and Mathematical Programming
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The Applications of Runge-Kutta Numerical Methods to Numerical Solutions of Several Neutrosophic Problems — Belal Belal · (2024) | TGRS Research Map | TGRS