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17 articles for “exact solutions”
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Exact Solutions of Kuramoto–Sivashinsky Equation Using Modified Sub-equation Method
Abstract: Equations for non-linear evolution are mathematical representations of physical phenomena. The physical interpretation of the solution functions of these equations enhances the viewpoint of many natural processes. Numerous scientists who acknowledge this truth have focused on this area. These mathematical models are even more important since they provide light on a multitude of events when their solutions take on a physical significance. Through their research, numerous scientists create methods and …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 2, 2024 · pp. 25–33 Read article
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Mathematical Approaches to Nonlinear Oscillatory Systems with Damping: Exact and Approximate Solutions
Abstract: The study of nonlinear oscillatory systems with damping is a key area of research in applied mathematics, particularly in the context of dynamical systems, stability analysis, and bifurcation theory. These systems, described by second-order nonlinear differential equations, exhibit a rich variety of behaviors, including periodic, quasi-periodic, and chaotic motions. The introduction of damping—representing energy dissipation—adds a layer of complexity, making the analytical and numerical solution of such systems a challenging …
Published in Recent Trends in Mathematics · Vol. 2, Issue 2, 2025 · pp. 7–11 Read article
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Thermal Analysis of Isotropic and Orthotropic Plate by Trigonometric Shear Deformation Theory
Abstract: In the present study, a sinusoidal shear and normal deformation theory taking into account effects of transverse shear as well as transverse normal is used to develop the analytical solution for the bidirectional bending analysis of isotropic, transversely isotropic, laminated composite and sandwich rectangular plates. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. The Navier solution for simply supported laminated composite plates …
Published in Journal of Geotechnical Engineering Read article
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The Molecular Structure of Chemical Compounds by using Quantitative Calculations in Chemistry
Abstract: Computational chemistry has its roots in the early attempts of theoretical physicists, beginning in 1928, to solve the Schrödinger equation using mechanical calculating machines. These calculations verified that the solutions of the Schrödinger equation quantitatively reproduced experimentally observed properties of simple systems such as the helium atom and the hydrogen molecule. These approximate solutions of larger systems and exact solutions of simple model problems allowed chemists and physicists to provide …
Published in Journal of Catalyst & Catalysis · Vol. 12, Issue 2, 2025 · pp. 01–08 Read article
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Optimal Homotopy Analysis Method (OHAM) For the Approximate Series Solution of Non-linear Partial Differential Equation
Abstract: In this article, we have used the Optimal Homotopy Analysis Method (OHAM), which is a basically semi-analytic method to solve differential equations. The ability for the user to choose the convergence control parameter, auxiliary linear operator, auxiliary function, and starting approximation is what sets apart the OHAM technique. We guaranteed the efficacy and efficiency of the procedure by fine-tuning the convergence control parameter. We solved a non-linear partial differential equation …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 Read article
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The Electromagnetic Transients in Compensated High Voltage Power Lines
Abstract: This paper addresses the simulation of the transients developed in high voltage lines, which are initiated by lightning discharges. The analysis allows for compensated and uncompensated lines. Both the individual and simultaneous series inductive and shunt capacitive compensation types can be dealt with. The sizes and locations of the compensating elements are included in the analysis. Numerous studies on the transient concentrated stresses across these elements and the related protection …
Published in International Journal of Electrical Power and Machine Systems · Vol. 1, Issue 2, 2023 · pp. 1–8 Read article
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Polymers and others Advance Materials: A State-of-the-Art Review
Abstract: Developing emerging technologies requires pushing the boundaries of material science. Right now, conventional neat polymers simply do not last long enough in the field. They suffer from sudden mechanical failure, struggle with thermal instability, and throwaway disposal methods have created a massive environmental crisis. To tackle these exact issues, this review provides a critical evaluation of two rapidly growing solutions: sustainable bio-composites and self-healing polymer systems. Rather than offering a …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 · pp. 108–119 Read article
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Study on the Method of Constructing a System of Linear Equations for Calculating Aerodynamic Derivatives
Abstract: The aerodynamic derivatives can be calculated from the unsteady hydrodynamic forces experienced by the harmonic-oscillating vehicle. Until now, unsteady flow field analysis in aerodynamic derivative calculations has been applied mainly to thin bodies based on potential theory MSC. Nastran is a typical application based on potential theory MSC. Natran can calculate the aerodynamic derivatives of the vehicle relatively well in the subsonic region, but in the supersonic region, the fuselage …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 3, 2025 · pp. 14–24 Read article
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Non-contact Real Time Digital Distance Measurement System for Vehicle Applications
Abstract: An Arduino-powered Digital Distance Measurement System with LCD Display a compact and precise solution presents a practical and portable digital distance measurement system utilizing the versatility of Arduino microcontrollers and the accuracy of ultrasonic sensors. This system can be utilised for airplane docking system which measures the distance exactly. Leveraging Arduino’s programming capabilities and readily available libraries, the system transmits ultrasonic pulses and analyses the reflected echoes to calculate real-time …
Published in Journal of Polymer & Composites · Vol. 13, Issue 2, 2025 · pp. 670–678 Read article
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RideRadar: Real-Time Bus Tracking and Updates
Abstract: Daily bus commuters know the frustration well, standing at stops with no idea when their ride will arrive, missing connections, and dealing with safety concerns that make public transport feel unreliable. This paper describes our prototype solution: a smart tracking system that tackles these everyday problems head-on. We built a system that connects real-time GPS data with direct passenger input, creating two-way communication between riders and transit operators. Passengers can …
Published in E-Commerce for Future & Trends · Vol. 13, Issue 1, 2026 · pp. 38–46 Read article
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Answer Checking System Using Artificial Intelligence and Machine Learning: A Review
Abstract: Automatic answer checker software that evaluates and scores written responses in a manner comparable to that of a human. This software programme is designed to evaluate subjective responses provided in an online test and to award points to the user after the answer has been validated. For the sake of the system, you must save the initial response. The administrator is given access to this resource. The system's admin can …
Published in International Journal of Electrical and Communication Engineering Technology · Vol. 1, Issue 1, 2023 · pp. 8–13 Read article
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IoT-Based School Bus Transportation Safety and Tracking System
Abstract: The safety of children during school commutes is a growing concern for both parents and school administrations. This paper presents an IoT-based School Bus Transportation Safety System that offers real-time tracking, biometric authentication, and emergency detection to ensure the safety of school children. The system utilizes a combination of NodeMCU, Arduino Uno, GPS, fingerprint modules, and sensors to provide a secure and efficient school transportation process. Parents and administrators can …
Published in Journal of Remote Sensing & GIS · Vol. 16, Issue 1, 2025 · pp. 56–65 Read article
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Quantum-Fuzzy Tensor Operators and Uncertainty-Band Bifurcation for Symmetry-Preserving State Discrimination
Abstract: A tensor-operator framework is developed for fuzzy conjunction, fuzzy disjunction, and symmetry-preserving state discrimination in multi-qubit quantum systems. In this formulation, fuzzy membership and non-membership degrees are represented through expectations of effect operators acting on density matrices, providing a natural bridge between fuzzy logic and quantum measurement theory. Conjunction and disjunction operations are extended to the quantum domain via tensorised channels, constructed using projective measurements and unitary transformations, enabling logical …
Published in Emerging Trends in Symmetry · Vol. 2, Issue 1, 2026 · pp. 08–15 Read article
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Elevating Seamless Housing Navigation with Precise Recommendations for Personalized Rental Experiences
Abstract: The demand for rental housing has increased significantly in recent years, making more effective and individualized methods of housing navigation necessary. Renters become frustrated and ineffective when using traditional ways of researching rental houses since they frequently involve manual searches and little customization. By using sophisticated recommendation systems to deliver exact recommendations catered to user preferences, this research article suggests a novel way to improve house navigation. The proposed approach …
Published in Journal of Artificial Intelligence Research & Advances · Vol. 11, Issue 3, 2024 · pp. 50–62 Read article
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Automated Fault Identification and Tracking in Power Transmission Networks Using GPS
Abstract: Power transmission lines are vulnerable to faults caused by environmental factors, aging infrastructure, and external disturbances such as falling trees or animal contact. Prompt and accurate detection and location of these faults are essential to ensure uninterrupted power delivery, reduce equipment damage, and minimize downtime. This project presents an automatic fault detection and location system using GPS technology integrated with a microcontroller-based sensing module. The proposed system continuously monitors voltage …
Published in Journal of Power Electronics and Power Systems · Vol. 15, Issue 3, 2025 · pp. 37–43 Read article
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IoT-Driven Accident Alert and Rescue Management System for Smart Mobility
Abstract: An IoT-enabled vehicle accident detection and rescue system is a modern approach aimed at improving road safety by identifying collisions as they occur and facilitating quick emergency assistance. Traffic accidents remain a major cause of death across the globe, and the lack of timely medical help frequently intensifies the severity of injuries. This system leverages the power of the Internet of Things (IoT) to monitor a vehicle's dynamics and detect …
Published in Journal of Communication Engineering & Systems · Vol. 16, Issue 1, 2026 · pp. 01–05 Read article
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Linear Programming for Profit Optimization in Small-Scale Manufacturing: A Python-Based Simplex and Machine Learning Approach
Abstract: Profit maximization under resource constraints is a classic challenge. Small manufacturers face tight margins and scarce capital every day. This paper tackles that problem using four Python-based methods. The case study is Bintang Bakery in Bandar Lampung, Indonesia. The bakery makes three bread types and faces 18 resource constraints. Data comes from Anggoro et al. Methods tested include LP revised simplex, Differential Evolution, PSO, and ANN Surrogate. General-purpose scipy minimizers …
Published in Research & Reviews : Journal of Statistics · Vol. 15, Issue 2, 2026 · pp. 01–12 Read article