Vol. 3 No. 1 (2025)

Open Access

Article

Article ID: 1592

Background seismicity and seismic correlations
by Bogdan Felix Apostol

Journal of AppliedMath, Vol.3, No.1, 2025;

DOI: https://doi.org/10.59400/jam1592

The law of energy accumulation in the earthquake focus is presented, together with the temporal, energy and magnitude distributions of regular, background earthquakes. The background seismicity is characterized by two parameters—the seismicity rate and the Gutenberg-Richter parameter, which can be extracted by fitting the empirical earthquake distributions. Time-magnitude and temporal correlations are presented, and the information they can provide is discussed. For foreshocks the time-magnitude correlations can be used to forecast (with limitations) the mainshock. The temporal correlations indicate a decrease of the Gutenberg-Richter parameter for small magnitudes, in agreement with empirical observations for foreshocks. On the other hand, the aftershocks may be viewed as independent earthquakes with changed seismic conditions, so they may exhibit an increase of this parameter, also in accordance with empirical observations. The roll-off effect for small magnitudes and the modified Gutenberg-Richter distribution are discussed for temporal corralations, and the derivation of the Bath’s law is briefly reviewed.

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Open Access

Article

Article ID: 1986

Fatigue damage model of neoprene rubber sandwiched with bi-directional carbon fabric
by Krishna Nair, Shrutva Chavda, Pooja Choudhary, Pinkal Patel, Anil Chavada, Jashvant D. Rathod, Rajesh C. Shah

Journal of AppliedMath, Vol.3, No.1, 2025;

DOI: https://doi.org/10.59400/jam1986

Fatigue is a phenomenon that occurs in materials when they are subjected to repetitive or cyclic loading, which can lead to the accumulation of damage over a time. The purpose of the present study is to develop a fatigue damage model incorporating experimental test results of axial tension and fatigue that utilizes the principles of continuum damage mechanics (CDM) to predict the damage accumulation in composite. Experimental testing in axial tensile tests involves dumbbell specimens of neoprene rubber sandwiched with bi-directional carbon fabric to constitute a composite material with the help of which material constants C₁₀, C₂₀, and C₃₀ parameters are evaluated by the curve-fitting method. Fatigue tests were conducted for different displacements, from which constants s₀ and S₀ were figured out using a linear regression method. A mathematical model is developed, and MATLAB is used to relate stress and strain in Yeoh’s strain energy function to describe the nonlinear elastic behavior of elastomers incorporating material parameters evaluated by axial tensile tests and fatigue tests. The MATLAB script was run in ANSYS with this modified Yeoh hyperelastic model for evaluation of damage in composite and compared with damage evaluated by image processing software in scanning electron microscope (SEM) images for validation purposes.

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Open Access

Article

Article ID: 2285

Wronskian representations of the solutions to the Burgers’ equation
by Pierre Gaillard

Journal of AppliedMath, Vol.3, No.1, 2025;

DOI: https://doi.org/10.59400/jam2285

A representation of the solutions to the Burgers’ equation by the Wronskiens is given. For this, we use particular polynomials and we obtain a very efficient method to construct solutions to this equation. We deduce rational solutions from the latter equation. We explicitly build solutions for first orders.

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Open Access

Article

Article ID: 2388

A note on Schur convexity for compositions of complete symmetric functions and new simple proofs
by Huan-Nan Shi, Jing Zhang, Wei-Shih Du

Journal of AppliedMath, Vol.3, No.1, 2025;

DOI: https://doi.org/10.59400/jam2388

In this work, by applying the properties of Schur-convex functions, Schur-geometrically convex functions and Schur-harmonically convex functions directly, we will provide more direct and simple proofs for compositions of complete symmetric functions.

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Open Access

Article

Article ID: 2492

Perturbation theory of the adiabatic pressure-less rarefied-fluid axisymmetricaccretion objects
by Orchidea Maria Lecian

Journal of AppliedMath, Vol.3, No.1, 2025;

DOI: https://doi.org/10.59400/jam2492

Pressure-less rarefied-fluid axisymmetric accretion objects are studied. The inviscid case and the rarefied viscous case with constant azimuthal component of the four-velocity in the pressure-less regime are addressed. The new General-Relativistic radial velocity slip flows expressions are analytically written in both the instances.

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Open Access

Article

Article ID: 2324

A new infinite series identities involving modified Bessel functions and Hermite polynomials
by Mikhail Trifonov

Journal of AppliedMath, Vol.3, No.1, 2025;

DOI: https://doi.org/10.59400/jam2324

Some new infinite series identities and their analogues—integral representations involving the modified Bessel functions of the first kind and the Hermite polynomials were obtained using a probabilistic approach.

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Editors-in-Chief

Assoc. Prof. Ahmad Zeeshan

International Islamic University, Pakistan

Dr. Nehad Ali Shah

Sejong University, Korea

eISSN

2972-4805

Publication Frequency

Bi-monthly

About the Publisher

Academic Publishing insists on taking academic exchange and publication as the main line, carrying out comprehensive management based on science and technology, and fully exploring excellent international publishing resources. Within 5 years, it will form a strategic framework and scale with science (S), technology (T), medicine (M), education (E), and humanities and arts (H) as the main publishing fields. Academic Publishing is headquartered in Singapore and based in Malaysia, with the United States and China providing the main scientific and academic resources. At the same time, it has established long-term good cooperative relations with other publishing companies, scientific research communities, and academic organizations in more than a dozen countries and regions. Academic Publishing uses English and Chinese as its main publishing languages, mainly publishing books, journals, and conference papers in print and online. The vast majority of publications follow the international open access policy, providing stable and long-term quality and professional publications. With the joint efforts of the expert team and our professional editorial team, our publications will gradually be indexed by international databases in stages to provide convenient and professional retrieval for various scholars. At the same time, manuscripts we accept will be subject to the peer review principle, and cutting-edge and innovative research articles will be preferentially accepted for peer reference and discussion. All kinds of our publications are welcome for peer to contribute, access, and download.

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Volume Arrangement

2025

2024

2023

Featured Articles

Octagonal-square tessellation model for masting GSM network: A case study of MTN Kumasi-East, Ghana

Masting in GSM network design is one of the most challenging problems in cell planning. The effect of uniform design pattern has been proven geographically to be hexagonal using uniform cell range. In this paper, we present a new uniform greedy semi-regular tessellation model called the octagonal square tessellation model (OSTM) to address the problem of global minimum overlap difference and area. Data from MTN Kumasi-East Ghana was collected and analyzed using the developed model. The original layout for the 0.6 km cell range accounted for an overlap difference of 937.66 m and a total area of 21.41 km² for 50 GSM mosts whereas the OSTM model accounted for an overlap difference of 1316.95 m with an area of 34.23 km². This is a 59.87% reduction of the original total area. Our solution is shown to be optimal in overlap difference and area for non-uniform cell range.

Computation of topological indices of linear chains of perylene and coronene using M-polynomial

The M-polynomial yields degree based topological indices that anticipate different physical and chemical properties of material being scrutinized. In this work, M- polynomial of linear chains of perylene and coronene are acquired. From M-polynomial, some degree based topological dicriptors are determined. Some topological indices of these compounds are compared by plotting graphs.

H∞ hybrid control and MRD in a steel frame building subjected to excessivevibrations caused by the dynamic action of wind and earthquake

The dynamic loads from earthquakes and winds can destroy lives, cause collapse in civil structures, and interrupt basic services provided to the population. In this scenario, structural designs must be developed to decrease the damage induced by these actions. The objective of this work is to design a hybrid controller based on the H∞ optimization via state feedback and the magneto-rheological damper (MRD) to mitigate the excessive vibrations of a three-story steel frame building, represented through the shear building model, subjected to the simultaneous dynamic action of wind and earthquake. All research is based on computational simulation, experimental research and results will not be addressed. In the numerical analysis, digital computer and MATLAB® software are used, and implemented codes generate the expected results based on the mathematical modeling. With the application of the H∞ control technique via state feedback, the displacements were reduced by 77%. With MRD this reduction was 79%. With the hybrid controller, this reduction was 100%. Thus, the verifications in relation to maximum displacements were met for NBR 15421:2006, NBR 8800:2008 and NBR 6118:2014. From the results, it is concluded that the hybrid controller proved to be more efficient and achieved the proposed objective. The exogenous inputs had zero influence on the behavior of the system output.

Topological analysis of multiple tables

The paper proposes a topological approach in order to explore several data tables simultaneously. These data tables of quantitative and/or qualitative variables measured on different homogeneous themes, collected from the same individuals. This approach, called topological analysis of multiple tables (TAMT), is based on the notion of neighborhood graphs in the context of a joint analysis of several data tables. It allows the simultaneous study of possible links between several thematic tables. The structure of the correlations or associations of the variables in each thematic table is analyzed according to quantitative, qualitative or mixed variables considered. Like the multiple factorial analysis (MFA), the TAMT allows several tables of variables to be analyzed simultaneously, and to obtain results, in particular graphical representations, which make it possible to study the relationship between individuals, variables and tables of data. These can also be tables of temporal data, collected at different times on the same individuals. The proposed TAMT approach is illustrated using real data associated with several and different homogeneous themes. Its results are compared to those from the MFA method.

Development of a stacked hybrid Decision Tree model leveraging the NSL-KDD dataset

Intrusion detection in information technology as well as operational technology networks is highly required in modern day systems due to the increased spate of cyber-attacks in both number and complexity. Anomaly-based intrusion detection systems which have the capacity to detect novel or zero-day attacks are highly employed in this regard. One important component of anomaly-based intrusion detection systems which ensures their behaviour is artificial intelligence in general and machine learning in particular. The burden in modern day cybersecurity research is to investigate and develop models that can outperform existing ones. This paper is aimed at developing a hybrid decision tree model using the stacking ensemble approach. Performances were measured on the basis of recall, precision, accuracy, F1-score, receiver operating characteristics and confusion matrices. The hybrid model presented a precision of 97%, accuracy of 81%, F1-score of 80% and AUC score of 0.96, respectively.