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7 articles for “Boundary value problem”
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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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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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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