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Agus Suryanto
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Faculty of Mathematics and Natural Sciences, Brawijaya University. Jl. Veteran, Malang City, East Java, Indonesia
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INDONESIA
Indonesian Journal of Mathematics and Applications
Published by Universitas Brawijaya
ISSN : -     EISSN : 29868149     DOI : https://doi.org/10.21776/ub.ijma
Core Subject : Science, Education,
Computer Science & IT Education Mathematics Other
The Indonesian Journal of Mathematics and Applications is a journal managed by Universitas Brawijaya, Malang, Indonesia, that is published twice a year (in March and September). IJMA is devoted to research articles of the highest quality in all areas of mathematics and its applications, statistics, and data science. The journal covers the following topics: Mathematical Analysis, Algebra, Biomathematics, Industrial Mathematics, Operasion Research, and Optimization, Data Sciences/Soft computing, Mathematical Physics, Financial Mathematics and Actuarial Sciences, Statictics. Upon its submission, the Editor-in-Chief decides on the suitability of the paper’s content for the aim and scope of the IJMA. If the Editor in Chief considers the paper is suitable, then the paper will be sent for peer reviewing by two peer reviewers. The Indonesian Journal of Mathematics and Applications maintains double anonymity, so neither the peer reviewers nor the author(s) can be identified by one another. The peer reviewers are respected scholars in the areas. The Indonesian Journal of Mathematics and Applications is an open access, peer-reviewed journal that considers articles describing novel computational algorithms and software, models and tools, including statistical methods, machine learning, and artificial intelligence, as well as systems biology.
Arjuna Subject : Matematika - Matematika Terapan
Articles 4 Documents
 1 
Search results for , issue "Vol. 4 No. 1 (2026): Indonesian Journal of Mathematics and Applications" : 4 Documents clear
Algebraic Analysis of The Encoding and Decoding Process of Goppa Code with Implementation in SageMath Rahwanto, Taufiq Hamid; Utomo, Putranto Hadi; Siswanto
Indonesian Journal of Mathematics and Applications Vol. 4 No. 1 (2026): Indonesian Journal of Mathematics and Applications
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2026.004.01.2

Abstract

Error-Correcting Code (ECC) is one of the solutions that have been widely developed to overcome errors, with the aim of detecting and correcting errors that occur. Among the various types of ECC, Goppa code have proven to be effective in maintaining data integrity. This study focuses on examining how the algebraic structure of the Goppa code is utilized for ECC, thereby enabling an understanding of how elements in the field can be transformed into binary vectors and polynomials to construct the parity-check matrix and the generator matrix. The algebraic structure is then analyzed to determine whether it can be optimized to detect and correct errors in the encoding and decoding processes. Subsequently, a simple program will be developed using the SageMath programming language, followed by simulations. The simulation results are expected to optimize the error-correction capacity, thereby demonstrating an improvement in the error-correction capability of the Goppa code during the decoding process.
Graph Energy of Non-Coprime Graphs for Some Finite Non-abelian Groups Suleiman, Aliyu; Ibrahim Kiri, Aliyu; Tijjani, Bilkisu
Indonesian Journal of Mathematics and Applications Vol. 4 No. 1 (2026): Indonesian Journal of Mathematics and Applications
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2026.004.01.3

Abstract

In this paper, we study the Laplacian energy and Seidel energy of the non-coprime graphs for the dihedral group $D_n$, $n \geq 3$, $n = p^r$, where $p$ is prime and $r \in \mathbb{Z}^+$, and the generalized quaternion $Q_{4n}$, $n \geq 2$. The investigation starts by obtaining the spectrum for the graphs and then generalizing the formulae for computing the respective energies. It is shown that the Seidel energy for the non-coprime graph for a dihedral group when $n = 2^r$, $r > 1$, is less than the Laplacian energy for the same graph; this is also true for the generalized quaternion. Furthermore, the Seidel energy for the non-coprime graph for a dihedral group $D_n$ when $n = 2^r$, $r > 1$, is the same as the adjacency energy of the same graph for the same group.
The existing huge volume of algebraic structures in the subject “ALGEBRA” has few serious hidden gaps and needs fixing in order to validate many of the elementary and important frequently practiced algebraic computations Biswas, Ranjit
Indonesian Journal of Mathematics and Applications Vol. 4 No. 1 (2026): Indonesian Journal of Mathematics and Applications
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2026.004.01.4

Abstract

In this paper it is justified in full length that there is a genuine need for the giant subject ‘ALGEBRA’ to have a new but unique Algebraic Structure. Consequently, a new algebraic structure “Region” is introduced, and its properties are studied. This paper introduces a new algebraic structure called Region, providing a unified framework for interactions between internal multiplication and scalar multiplication commonly used in algebra. The novelty lies in combining field structure, vector space structure, and compatibility in a single framework. Without the algebraic structure “Region” the subject ‘ALGEBRA’ can not validate many elementary algebraic computations being frequently practiced by the mathematicians, researchers and students in their daily works in the last centuries; unbelievable and surprising, but it is true.
Topological Existence and Uniqueness of the Mahgoub–Adomian Decomposition Method Adepoju, Julius; Ajani, Abiodun Sufiat; Olubanwo, Oludapo Omotola; Onitilo, Sefiu Adekunle; Oduyemi, Oluwadamilare Segun
Indonesian Journal of Mathematics and Applications Vol. 4 No. 1 (2026): Indonesian Journal of Mathematics and Applications
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2026.004.01.1

Abstract

We develop a rigorous topological theory for the Mahgoub--Adomian Decomposition Method (MADM) in the setting of Banach spaces. The method is formulated as a nonlinear operator equation in the space $C([0,T];H^s(\Omega))$, where the associated Mahgoub--Adomian operator is shown to be continuous and compact. Existence of the MADM solution is established via Schauder’s fixed-point theorem, while uniqueness follows under a strict monotonicity condition on the nonlinear operator. The analysis is carried out independently of contraction assumptions or smallness conditions. The  results are applied to both linear and nonlinear Schrödinger equations of the form $i u_t + \Delta u + N(u) = f(x,t), \quad u(x,0)=h(x)$, including the linear problems $N(u)=0$ and nonlinear problems such as $N(u)=\lambda |u|^{p}u$. These results provide a topological well-posedness framework that justifies the convergence and uniqueness of the Mahgoub--Adomian decomposition series for a broad class of Schrödinger-type evolution equations.

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