Galoitica: Journal of Mathematical Structures and Applications
Journal DOI
2834-5568ISSN (Online)
Volume 11 , Issue 1 , PP: 01-11, 2024 | Cite this article as | XML | Html | PDF | Full Length Article
Stipan Podobnic 1 * , Barbara Charchekhandra 2
Doi: https://doi.org/10.54216/GJMSA.0110101
This paper is devoted to find the solution of the Vanishing Neutral Differential Equations (VNDEs), where we review the ARCHI code for solving neutral differential equations, and then an improvement of this code will be presented in this paper to solve problems of VNDEs. This improvement is done by suggesting a new hybrid method of special interpolants with iteration procedure of RK method. We will analyze the convergence of the suggested new method by proving the following criteriaBn(t)≤TH(c1+(c2L3)/(1-L3 ))exp(LT/(1-L3 ))Where the solution is convergent , we have and when and the derivative of the solution is also convergent for VNDEs.
Hybrid method , Numerical Solution , Convergence analysis , VDNE problem
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