University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

Applied Mathematics

World University root node

Mathematical Methods in the Applied Sciences

Oblique wave interaction by two thin vertical barriers over an asymmetric trench

Journal of Applied Mechanics and Technical Physics

PROPAGATION OF OBLIQUE FLEXURAL GRAVITY WAVES OVER FINITE NUMBER OF STEPS

Mathematics and Mechanics of Solids

Reflection of temperature rate–dependent coupled thermoelastic waves on a non-local elastic half-space

Biostatistics

New approaches for testing non-inferiority for three-arm trials with Poisson distributed outcomes

Solutions of the space–time fractional order non-linear Schrödinger equation and nonlinear Klein Gordon equation have been found here using fractional sub-equation method and improved fractional sub-equation method. All solutions obtained are exact solutions. Graphical presentations of those solutions have been done. © 2022, Foundation for Scientific Research and Technological Innovation.

Differential Equations and Dynamical Systems

Analytic Solution of the Fractional Order Non-linear Schrödinger Equation and the Fractional Order Klein Gordon Equation

Applied Ocean Research

Wave interaction with a rectangular bar in the presence of two trenches

ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift f{\"{u}}r Angewandte {\ldots}

Nonlocal elasticity and thermal dual‐phase‐lag effect on the vibration analysis of transversely isotropic electro‐magneto generalized thermoelastic sphere with voids

The Lord–Shulman (LS) model of generalized thermoelasticity and the Eringen's model of nonlocal elasticity are used to formulate the new constitutive relations and the field equations. The propagation of plane thermoelastic waves are then probed in a homogeneous isotropic nonlocal thermoelastic solid by employing this new model. We found two sets of the coupled longitudinal waves and one independent shear-type wave. All these waves are found to be dispersive and attenuating in nature in the presence of nonlocality in the medium. We found that the shear-type wave faces a critical frequency, while the coupled longitudinal waves may face critical frequency conditionally. A reflection of thermoelastic waves at a stress-free thermally insulated and isothermal boundary of a thermoelastic half-space are also considered in case of incident coupled longitudinal thermoelastic wave. The amplitude ratios of the reflected waves to that incident wave are determined analytically. For a particular model, various graphs are plotted to analyze the behavior of the phase speeds, attenuation coefficients and reflection coefficients. To investigate the effect of elastic nonlocal parameter on the variations of phase speeds, attenuation coefficients and amplitude ratios of the reflected waves are presented graphically. Some interesting results are noticed: All the waves are detected to be influenced by the nonlocality of the medium. The longitudinal waves are influenced by the thermal parameters but the shear-type wave is independent of the thermal effect. Moreover the presence of elastic nonlocality reduces the classical shear-type wave speed.

ZAMM Journal of applied mathematics and mechanics: Zeitschrift für angewandte Mathematik und Mechanik

Plane waves in nonlocal generalized thermoelasticity

Meccanica

Radiation and scattering of flexural-gravity waves by a submerged porous disc

This study develops analytical solutions to oblique water wave interaction with a pair of thick barriers over a pair of trenches. The potential functions are reduced to linear integral equations employing the eigenfunction expansions along with the Havelock inversion formula followed by a matching process. The solutions are found after solving the integral equations utilise the multi-term Galerkin method involving the Gegenbauer polynomials of order 1/6 with suitable weights as basis functions. The comparison of the numerical solution with the results available in the literature shows a good agreement that implies the present result's correctness. The energy balance relation is derived and used to check the accuracy of numerical results. The effects of various parameters are analysed through different graphs for a pair of thick barriers over a pair of trenches. It is observed that the physical parameters of the structure have a significant effect on the present study.

Ships and Offshore Structures

Wave interaction with a pair of thick barriers over a pair of trenches