TARU PUBLICATIONS

Peer-reviewed research in the mathematical & computing sciences

TARU PUBLICATIONS publishes scholarly journals in mathematics, statistics, cryptography, optimization, scientometrics, and computing — advancing rigorous research and connecting scholars worldwide.

7 journals·3,604 articles· Indexed in Crossref & Google Scholar

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Open Access Research Article·pp. 1–14·Online FirstOct 2026

Using the GML decomposition method for solving nonlinear differential equations

Gharib M. Gharib, Maha Alsaoudi, Ayat Bader, Mohamed A. Labeeb

Published Online: 08 Oct 2026DOI: 10.47974/JIM-2670

In this paper: In this manuscript, we will introduce a new technique known by the GML decomposition technique. This technique has been used to various types of (NODEs) and as well as to derive the exact solutions of...

AbstractReferencesFull Text PDF (525 KB)Views: 13Downloads: 16Citations: 0
Open Access Research Article·pp. 1–11·Online FirstOct 2026

Independent 2-domination polynomials in complete bipartite graphs

Hamed Mahmoodzadeh, Saied Mohammadian Semnani

Published Online: 06 Oct 2026DOI: 10.47974/JIOS-2166

In this paper: This paper investigates the independent 2-domination polynomial of complete bipartite graphs Km, n. We establish closed formulas for this polynomial and describe all independent 2-dominating sets in s...

AbstractReferencesFull Text PDF (296 KB)Views: 42Downloads: 31Citations: 0
Open Access Research Article·pp. 1–20·Online FirstOct 2026

New classes of permutation pentanomials over 𝔽52n

Shalini Gupta, Sagar Vinayak, Manpreet Singh

Published Online: 05 Oct 2026DOI: 10.47974/JDMSC-2710

In this paper: Developing novel classes of permutation polynomials(PPs) has become a prominent focus in recent mathematical research. We introduce new classes of permutation pentanomials defined on 𝔽52n through the...

AbstractReferencesFull Text PDF (644 KB)Views: 44Downloads: 48Citations: 0
Open Access Research Article·pp. 1–12·Online FirstOct 2026

Generalizing some properties of differential uniformity and nonlinearity of permutations on finite commutative rings

Sonu Pal, Anupama Panigrahi, Saibal. K. Pal

Published Online: 05 Oct 2026DOI: 10.47974/JDMSC-2670

In this paper: This study examines two essential characteristics of permutations within algebraic frameworks. The initial emphasis is on the full differential uniformity of permutations within a finite commutative r...

AbstractReferencesFull Text PDF (484 KB)Views: 45Downloads: 35Citations: 0
Open Access Research Article·pp. 1–16·Online FirstOct 2026

A class of Zr-simplex codes and its gray images

J. Mahalakshmi, J. Prabu, M. S. Sooraj Subrahmaniyan, K. M. Sanmaya

Published Online: 03 Oct 2026DOI: 10.47974/JDMSC-2624

In this paper: The various parameters of Zr-Simplex code under the Homogeneous and Lee weight metric for some particular cases of r with rank k are considered. Some fundamental properties like weight distributions o...

AbstractReferencesFull Text PDF (391 KB)Views: 47Downloads: 36Citations: 0
Open Access Research Article·pp. 1–9·Online FirstOct 2026

Classification of n-dimensional generalized Heisenberg Lie algebras of rank (n – 4)

Hamid Darabi, Mahdi Imanparast

Published Online: 03 Oct 2026DOI: 10.47974/JDMSC-2611

In this paper: In this paper, we classify all n-dimensional generalized Heisenberg Lie algebras of rank (n – 4), and to this end, we demonstrate that for any n-dimensional generalized Heisenberg Lie algebra, if the...

AbstractReferencesFull Text PDF (649 KB)Views: 42Downloads: 39Citations: 0

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