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All Journal Jurnal Ilmu Komputer dan Informasi Acta Aquatica: Aquatic Sciences Journal Desimal: Jurnal Matematika
Md. Mizanur Rahman
Universiti Malaysia Sabah
Computer Science & IT Education Library & Information Science Materials Science & Nanotechnology Mathematics Social Sciences Other

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Applications of the homotopy perturbation method for some linear and non-linear partial differential equations Rahman, Md. Mizanur; Murshed, Md. Masum; Akhter, Nasima
Desimal: Jurnal Matematika Vol. 6 No. 2 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i2.17527

Abstract

In this study, some linear PDEs and nonlinear PDEs are investigated using the homotopy perturbation method (HPM). The primary objective of this research is to employ the HPM as a tool for investigating a range of PDEs and extracting their analytical solutions. To clarify the practicality and efficacy of this method, we present illustrative examples of linear PDEs encompassing the classical heat, wave, and Laplace equations. Subsequently, a comparative analysis is performed, contrasting the outcomes derived from the HPM with established accurate solutions. Through this comparative approach, we aim to provide a comprehensive understanding of the HPM's applicability, robustness, and precision in solving a spectrum of PDEs. Our study contributes to the broader exploration of innovative mathematical techniques for tackling complex PDEs, while also shedding light on the potential advantages and limitations of the homotopy perturbation method in practical applications.
A review of some properties of persistent homology Ullah, Md. Safik; Mou, Mst. Sima Akhter; Shiraj, Md. Morshed Bin; Rahman, Md. Mizanur; Murshed, Md. Masum; Akhter, Nasima
Desimal: Jurnal Matematika Vol. 6 No. 2 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i2.17812

Abstract

Every day, enormous complex geometric data are accumulating rapidly, and qualitative analysis is needed, which cannot be done properly without studying the shapes of those data. Persistent homology describes the homology of data sets of arbitrary size, producing state-of-the art results in data analysis across a significant number of fields and sparking a rigorous study of persistence in homology theory. In this study, persistent homology has been demonstrated as a homology theory by satisfying the Eilenberg-Steenrod axioms. A brief background on persistent homology groups has been written to understand their construction. Then other definitions of persistent homology based on functors and graded modules have also been reviewed. The Mayer-Vietoris-Vietorisfor persistent homology has been derived as a property of persistent homology. Subsequently, a long, exact sequence for persistent homology has been constructed. Furthermore, the stability of persistent homology has been examined carefully. Finally, the Diamond principle of persistent homology has been explained briefly. This study can be used to investigate new properties of persistent homology, among other benefits.
The rhetorical blue economy in Bangladesh: Analyzing the inborn regulatory bottlenecks Rahman, Md. Mizanur
Acta Aquatica: Aquatic Sciences Journal Acta Aquatica: Jurnal Ilmu Perairan, Vol. 8: No. 2 (August, 2021)
Publisher : Universitas Malikussaleh

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29103/aa.v8i2.4775

Abstract

This study's overreaching objective was to assess the suitability and applicability of the existing legal and institutional framework for managing the coastal and marine resources in Bangladesh. Together with, the fundamental challenges faced by the artisanal and small-scale fishers in Bangladesh were critically scrutinized. The study revealed that the regulatory framework in Bangladesh is characterized by jurisdictional overlapping followed by the conflict of interests among the public institutes, which originated from the aged and fragmented laws and ambiguous business allocation; consequently, the artisanal and small-scale fishers suffer a lot. The local government and community's right to resource management remains fuzzy. Bangladesh can enact new sectoral laws followed by business reallocation for the line ministries. The study will help policymakers identify the bottlenecks rooted in the existing regulatory and institutional framework.Keywords: Coastal and Marine Resource; Jurisdictional Overlapping; Conflict of Interests; Marine Governance; Artisanal Fishers
Rethinking Smart Keyboard Layout to Aid Strong Password Creation Hossain, Md. Faruk; Rahman, Md. Mizanur; Ahmed Rumee, Sarker Tanveer; Zaber, Moinul Islam
Jurnal Ilmu Komputer dan Informasi Vol. 17 No. 1 (2024): Jurnal Ilmu Komputer dan Informasi (Journal of Computer Science and Informatio
Publisher : Faculty of Computer Science - Universitas Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21609/jiki.v17i1.1235

Abstract

In an era marked by increasing digitization and the omnipresence of smartphones, the importance of robustpassword security cannot be overstated. With the ever-growing threat of cyberattacks, there is a pressing needfor user-friendly tools that facilitate the creation of strong and unique passwords. Traditional alphanumerickeyboard layouts (physical or virtual) have remained largely unchanged for decades, relying on the sameQWERTY layout initially designed for typewriters. However, these layouts may not be optimal for generatingstrong passwords. This paper focuses on tailoring virtual keyboard layouts on smartphones specifically forstrong password creation. For this, we have performed extensive user surveys to see if the presence ofdedicated rows for digits and special characters (essential in any strong password) allows users to createstronger passwords compared to regular smartphone keyboard layout. Apart from that, we also investigatedthe optimal assignment of characters, digits, and special characters and their groupings in a single soft key.The findings from the detailed user experiment suggested optimal settings for a smartphone virtual keyboard(for Android) like- diagonal length for good typing speed (approximately between 8.38 and 9.41 cm), andkey density (0.88 to 1.21 keys/cm2) which produces the least error without sacrificing the strength ofpasswords created using those layouts. We hope the outcome of this paper will help designers to aid virtualkeyboard layouts for smartphones that can motivate and create strong passwords without sacrificing usability.
Co-Authors Ahmed Rumee, Sarker Tanveer Akhter, Nasima Hossain, Md. Faruk Mou, Mst. Sima Akhter Murshed, Md. Masum Shiraj, Md. Morshed Bin Ullah, Md. Safik Zaber, Moinul Islam