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15 articles for “Boundary Value Problems.”
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A Review of Moving Plane Method for Traversing Dimensions: Applications in Astrophysics
Abstract: In this paper, we study applications of the moving plane method, and a brief review of this method is conducted. In astrophysical investigation, the Moving Plane Method (MPM) has proven to be an effective method for navigating the multidimensional landscapes of space. We give a summary of the MPM, its theoretical underpinnings, and its uses in astrophysics in this review paper. We demonstrate how the MPM has transformed our knowledge …
Published in Research & Reviews : Journal of Space Science & Technology · Vol. 12, Issue 3, 2023 · pp. 1–8 Read article
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Application of Fixed-point Theorem in Various Field Review
Abstract: This paper is review of application of fixed-point theorem from 15 research paper. It is observed that Fixed point theorem has application in various field like game theory, computer science, integral and differential equations, heattransfer, functional analysis, topology etc.so for research paper we can utilize fixed point theorem for extension in application.
Published in Journal of Mechatronics and Automation · Vol. 7, Issue 2, 2020 · pp. 6–9 Read article
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Advance Fixed Point Theorems and Its Application to Ordinary and Fractional Differential Equations
Abstract: In the present research, advanced results on the fixed point theorem are applied to typical boundary value problems. Finding a differential equation's solution under certain boundary conditions is the goal of typical boundary value topics. The article appears to extend new fixed point results to a new context, likely involving fractional operators with unique kernels, notably the Caputo-type fractional operator. This extension involves applying the fixed point theorem to a …
Published in Recent Trends in Mathematics · Vol. 1, Issue 1, 2024 · pp. 1–15 Read article
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Quasi-Static Thermal Stress Analysis in a Thin Circular Cylinder Due To Internal Heat Generation Under Transient Temperature Conditions
Abstract: This paper is concerned with inverse quasi-static thermal stress analysis in a thin circular cylinder due to internal heat generation under transient temperature conditions. The internal heat generation is modeled as a cylindrical surface heat source located in the annular region along the axial length of the cylinder. This source is placed concentrically inside the cylinder and begins releasing heat spontaneously at a specific point in time. The thin circular …
Published in Recent Trends in Fluid Mechanics · Vol. 12, Issue 2, 2025 · pp. 17–28 Read article
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COMPARATIVE EVALUATION OF FIXED-POINT THEOREMS INVESTIGATING DIFFERENCES AMONG CONDITIONS IN METRIC SPACES
Abstract: This paper provides a concise overview of metric spaces, their fundamental properties, and the idea of continuity as it pertains to these spaces, drawing parallels to uniform continuity and convergence. Also included is a review of previous research on metric space, its generalization, and practical outcomes from studies that utilized these spaces in various applications. We introduce a fixed point theorem for mixed monotone mappings in partially ordered metric spaces, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 Read article
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Numerical Investigation of Slip Conditions in Nanofluid Flow Induced by a Nonlinearly Stretching Sheet: A bvp4c Approach
Abstract: The present work describes a numerical analysis of the steady, laminar flow over a nonlinear stretching sheet in a nanofluid medium. Slip conditions in terms of velocity, temperature, and concentration have been introduced into the mathematical model to capture the impact of interfacial mass transfer on the stretching surface. The problem is modeled to include nanoparticle transportation in terms of Brownian diffusion and thermophoresis, thereby affecting the temperature and concentration …
Published in Recent Trends in Fluid Mechanics · Vol. 13, Issue 2, 2026 · pp. 34–51 Read article
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A New Numerical Method for the Analysis of Stress Concentration in Tension Specimen
Abstract: Analyzing the stress concentration in the critical region of a mixed boundary value elastic problem has always been an important area of interest in applied mechanics. In most of the cases, the problems were circumvented using a numerical solution. A numerical approach has been used to solve elastic problems of arbitrary shaped bodies subjected to mixed boundary conditions. The formulation of displacement potential function is used in finite difference method …
Published in Journal of Experimental & Applied Mechanics · Vol. 3, Issue 1, 2012 Read article
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Linear Stability Analysis of Taylor-Couette Flow with and without Viscous Heating
Abstract: This paper presents linear stability analysis of the incompressible viscous flow between the two concentric counter rotating cylinders. The parallel flow assumption is applied; hence the mean flow is the function of radial coordinate only. The main objective of this study is to explore the effect of the viscous heating, Nahme number and radius ratio (Ratio of inner to outer cylinder radius, η) on the stability characteristics of Taylor-Couette flow. …
Published in Recent Trends in Fluid Mechanics · Vol. 4, Issue 2, 2017 · pp. 15–22 Read article
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Composition of Ideal Fluid Flows Around Cylinder Using Bilinear Transformation
Abstract: Advent of conformal mapping eases to model a flow in sought-after domain without trade- off between laws of fluid mechanics and the theory of complex valued-functions. The far-reaching properties manifested by conformal mapping discern and facilitate solution of large class of two-dimensional flow problems. Bilinear transformation is amidst the conformal mappings. The properties, mapping a circular boundary onto horizontal line and composition of bilinear transformations is again a bilinear transformation …
Published in Recent Trends in Fluid Mechanics · Vol. 10, Issue 1, 2023 · pp. 31–38 Read article
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Penetrative Thermomagnetic Convection in a Micropolar Ferrofluid Layer via Internal Heating
Abstract: Through the internal heating model thermomagnetic convection in a micropolar ferrofluid layer has been studied in the presence of a uniform vertical magnetic field. The rigid-isothermal boundaries are considered to be paramagnetic. The eigenvalue problem is solved numerically by Galerkin technique. The system stability is dependent on the various parameters like, dimensionless internal heat source strength Ns, magnetic parameter M1, the non-linearity of magnetization parameter M3, magnetic susceptibility χ, coupling …
Published in Journal of Experimental & Applied Mechanics · Vol. 11, Issue 2, 2020 · pp. 30–50 Read article
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Effect of Exponential Temperature Variation on Vibration of Orthotropic Rectangular Plate whose Thickness varies Parabolically in Both Directions
Abstract: A simple model presented here is to study the exponentially thermal effect on vibration of orthotropic rectangular plate having bi-direction parabolically varying thickness having clamped boundary conditions on all the four edges. Rayleigh Ritz method is used to evaluate the frequency parameter. The two-dimensional thickness variation is taken as the Cartesian product of parabolic variations along the two concurrent edges of the plate. Yet the method used for the solution …
Published in Journal of Experimental & Applied Mechanics · Vol. 4, Issue 2, 2013 · pp. 1–8 Read article
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A Review of Video Shot Boundary Detection (SBD) technique
Abstract: The first step in effective video management system which provides the facility of content based video search, analysis and retrieval system is Video Shot Boundary Detection (SBD). A shot is a sequence of frames obtained from a single camera without interrupting it. A video contains a lot of shots that are accompanied with transitions from one shot to another. When shot transition occurs over a few number of frames, it …
Published in Journal of Image Processing & Pattern Recognition Progress · Vol. 5, Issue 2, 2018 · pp. 59–70 Read article
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Analysis of Simply Supported and Clamped-Clamped Beam Resting on a Pasternak Foundation Subjected to Moving Load with a Damping Term
Abstract: A comparative analysis of simply supported and clamped-clamped Bernoulli-Euler beams resting on a Pasternak foundation under the action of a concentrated moving load with a damping term, when the inertia effect of the moving load is considered in its analysis, was investigated in this study. The governing equation was solved by representing the Dirac delta function through a Fourier cosine series and applying a combination of analytical techniques, including the …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 3, 2025 · pp. 42–59 Read article
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Uniform Beam Dynamics Under Exponentially Moving Load on Bi-paeametric Foundation with Time-dependent Boundary Effects
Abstract: This study investigates the problem of a uniform elastic beam subjected to exponentially varying moving load with time dependent boundary conditions. A complex structural dynamic problem that has very significant implications for various applications such as railway systems, bridge structures, industrial machinery will be addressed in this research. A damping term is built into the uniform beam model to give a more realistic picture of the structural behaviour, while the …
Published in Journal of Experimental & Applied Mechanics · Vol. 17, Issue 2, 2026 · pp. 53–64 Read article
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Ecotourism in Mizoram: Problems and Prospects
Abstract: As in North Eastern India, Mizoram is one of the Seven Sister States listed. On 20 February 1987, it became India's 23rd state. Nestled in the north-eastern part of India at the southern tip, it is a mountainous state. Aizawl is the capital and one of the least-frequented towns in India. There are 10 major national parks and wildlife sanctuaries in the state and it is a hotspot for biodiversity. …
Published in Research & Reviews : Journal of Ecology · Vol. 10, Issue 3, 2021 · pp. 1–5 Read article