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China Ocean Engineering 2020年第4期34卷 537-546页

作者： gour chandra paul Sukumar Senthilkumar Rana Pria Department of Mathematics University of RajshahiRajshahi-6205Bangladesh School of Mathematical Sciences Universiti Sains MalaysiaPulau Pinang-11800Malaysia Mathematics Discipline ScienceEngineering&Technology SchoolKhulna UniversityKhulna-9208.Bangladesh

The ultimate goal and highlight of this paper are to explore water levels along the coast of Bangladesh efficiently due to the nonlinear interaction of tide and surge by employing the method of lines(MOLs)with the aid of newly proposed RKAHeM(4,4)*** this regard,the spatial derivatives of shallow water equations(SWEs)were discretized by means of a finite difference method to obtain a system of ordinary differential equations(ODEs)of initial valued with time as an independent *** obtained system of ODEs was solved by the RKAHeM(4,4)***-way nested grid technique was exercised to incorporate coastal complexities closely with minimum computational cost.A stable tidal oscillation was produced over the region of interest by applying the most influential tidal constituent M2 along the southern open boundary of the outer *** newly developed model was applied to estimate water levels due to the non-linear interaction of tide and surge associated with the catastrophic cyclone April 1991 along the coast of *** approach employed in the study was found to perform well and ensure conformity with real-time observations.

关键词： method of lines RKAHeM(4 4)technique error estimation storm surge nested grid

An Efficient Tide-Surge Interaction Model for the Coast of Bangladesh

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China Ocean Engineering 2020年第1期34卷 56-68页

作者： M.Mizanur RAHMAN gour chandra paul Ashabul HOQUE Department of Mathematics Shahjalal University of Science&TechnologySylhet 3114Bangladesh Department of Mathematics University of RajshahiRajshahi-6205Bangladesh

The numerical method of lines(MOLs)in coordination with the classical fourth-order Runge Kutta(RK(4,4))method is used to solve shallow water equations(SWEs)for foreseeing water levels owing to the nonlinear interaction of tide and surge accompanying with a storm along the coast of *** SWEs are developed by extending the body forces with tide generating forces(TGFs).Spatial variables of the SWEs along with the boundary conditions are approximated by means of finite difference technique on an Arakawa C-grid to attain a system of ordinary differential equations(ODEs)of initial valued in time,which are being solved with the aid of the RK(4,4)*** grid technique is adopted to solve coastal complexities closely with least computational cost.A stable tidal solution in the region of our choice is produced by applying the tidal forcing with the major tidal constituent M2(lunar semi-diurnal)along the southern open-sea boundary of the outer *** experimentations are carried out to simulate water levels generated by the cyclonic storm AILA along the coast of *** model simulated results are found to be in a reasonable agreement with the limited available reported data and observations.

关键词： Bangladesh coast shallow water equations method of lines tide-surge interaction islands tide generating forces inverse barometer

Numerical storm surge model with higher order finite difference method of lines for the coast of Bangladesh

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Acta Oceanologica Sinica 2019年第6期38卷 100-116页

作者： gour chandra paul Md. Emran Ali Department of Mathematics University of RajshahiRajshahi 6205Bangladesh Department of Textile Engineering Northern University BangladeshDhaka 1230Bangladesh

In this study, the method of lines (MOLs) with higher order central difference approximation method coupled with the classical fourth order Runge-Kutta (RK(4,4)) method is used in solving shallow water equations (SWEs) in Cartesian coordinates to foresee water levels associated with a storm accurately along the coast of Bangladesh. In doing so, the partial derivatives of the SWEs with respect to the space variables were discretized with 5-point central difference, as a test case, to obtain a system of ordinary differential equations with time as an independent variable for every spatial grid point, which with initial conditions were solved by the RK(4,4) method. The complex land-sea interface and bottom topographic details were incorporated closely using nested schemes. The coastal and island boundaries were rectangularized through proper stair step representation, and the storing positions of the scalar and momentum variables were specified according to the rules of structured C-grid. A stable tidal regime was made over the model domain considering the effect of the major tidal constituent, M2 along the southern open boundary of the outermost parent scheme. The Meghna River fresh water discharge was taken into account for the inner most child scheme. To take into account the dynamic interaction of tide and surge, the generated tidal regime was introduced as the initial state of the sea, and the surge was then made to come over it through computer simulation. Numerical experiments were performed with the cyclone April 1991 to simulate water levels due to tide, surge, and their interaction at different stations along the coast of Bangladesh. Our computed results were found to compare reasonable well with the limited observed data obtained from Bangladesh Inland Water Transport Authority (BIWTA) and were found to be better in comparison with the results obtained through the regular finite difference method and the 3-point central difference MOLs coupled with the RK(4,

关键词： shallow water equations method of lines higher order finite difference approximation method surge nested scheme

A variety of novel closed-form soliton solutions to the family of Boussinesq-like equations with different types

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Journal of Ocean Engineering and Science 2022年第6期7卷 543-554页

作者： Dipankar Kumar gour chandra paul Aly R.Seadawy M.T.Darvishi Department of Mathematics Bangabandhu Sheikh Mujibur Rahman Science and Technology UniversityGopalganj 8100Bangladesh Department of Mathematics University of RajshahiRajshahi 6205Bangladesh Mathematics Department Faculty of ScienceTaibah UniversityAl-Madinah Al-MunawarahSaudi Arabia Mathematics Department Faculty of ScienceBeni–Suef UniversityBeni SuefEgypt Department of Mathematics Razi UniversityKermanshah 67149Iran

This paper deals with the closed-form solutions to the family of Boussinesq-like equations with the effect of spatio-temporal *** sine-Gordon expansion and the hyperbolic function approaches are efficiently applied to the family of Boussinesq-like equations to explore novel solitary,kink,anti-kink,combo,and singular-periodic wave *** attained solutions are expressed by the trigonometric and hyperbolic functions including tan,sec,cot,csc,tanh,sech,coth,csch,and of their *** addition,the mentioned two approaches are applied to the aforesaid models in the sense of Atangana conformable derivative or Beta derivative to attain new wave ***-dimensional and two-dimensional graphs of some of the obtained novel solutions satisfying the corresponding equations of interest are provided to understand the underlying mechanisms of the stated *** the bright wave solutions in terms of Atangana’s conformable derivative,the amplitudes of the bright wave gradually decrease,but the smoothness increases when the fractional parametersαandβ*** the other hand,the periodicities of periodic waves *** attained new wave solutions can motivate applied scientists for engineering their ideas to an optimal level and they can be used for the validation of numerical simulation results in the propagation of waves in shallow water and other nonlinear *** performed approaches are found to be simple and efficient enough to estimate the solutions attained in the study and can be used to solve various classes of nonlinear partial differential equations arising in mathematical physics and engineering.

关键词： Boussinesq-like equations The sine-Gordon expansion approach The hyperbolic function approach Wave solutions Atangana conformable derivative

Discretization of Complex Geometric Domain Through Computer-Based Stair-Step Representation Method for Estimating Water Levels Associated with A Storm

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China Ocean Engineering 2022年第5期36卷 791-801页

作者： Md.Mahabub Alam gour chandra paul Irfan Raju Foyjonnesa Farhana Zannat Eti Mst.Sharmin Banu Dipankar Kumar Md.Emran Ali Department of Applied Mathematics Gono BishwabidyalayDhaka-1344Bangladesh Department of Mathematics University of RajshahiRajshahi-6205Bangladesh Department of Arts&Sciences Bangladesh Army University of Science and TechnologySaidpur-5310Bangladesh Department of Mathematics European University of BangladeshDhaka-1216Bangladesh Department of Mathematics Jashore University of Science and TechnologyJashore-7408Bangladesh Department of Mathematics Bangabandhu Sheikh Mujibur Rahman Science and Technology UniversityGopalganj 8100Bangladesh Department of Textile Engineering Northern University of BangladeshDhaka 1230Bangladesh

In this paper,an improvement has been made to the approximation technique of a complex domain through the stair-step approach to have a considerable accuracy,minimize computational cost,and avoid the hardship of manual work.A novel stair-step representation algorithm is used in this regard,where the entire procedure is carried out through our developed MATLAB *** C-grid is used in our approximation with(1/120)°grid *** a test case,the method is applied to approximate the domain covering the area between 15°-23°N latitudes and 85°-95°E longitudes in the Bay of *** with the approximation of the land-sea interface,coastal stations are also *** land-sea interfaces and coastal stations are found to be in good agreement with the actual ones based on the similarity index,overlap fraction,and extra fraction *** method can be used for approximating an irregular geometric domain to employ the finite difference method in solving problems related to long *** a test case,shallow water equations in Cartesian coordinates are solved on the domain of interest for simulating water levels due to the nonlinear tide-surge interaction associated with the storms April 1991 and AILA,2009 along the coast of *** same input except for the discretized domain and bathymetry as that of paul et al.(2016)is used in our *** results are found to be in reasonable agreement with the observed data procured from Bangladesh Inland Water Transport Authority.

关键词： Arakawa C-grid Bay of Bengal coast of Bangladesh finite difference method shallow water equations stair-step representation

Storm surge simulation along the Meghna estuarine area:an alternative approach

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Acta Oceanologica Sinica 2018年第1期37卷 40-49页

作者： paul gour chandra SENTHILKUMAR Sukumar PRIA Rana Department of Mathematics University of Rajshahi School of Mathematical Sciences Universiti Sains Malaysia Mathematics Discipline Khulna University

In this study, numerical prediction of surges associated with a storm was made through the method of lines（MOL） in coordination with the newly proposed RKARMS（4, 4） method for the meghna estuarine region, along the coast of Bangladesh. For this purpose, the vertically integrated shallow water equations（SWEs） in Cartesian coordinates were firstly transformed into ordinary differential equations（ODEs） of initial valued, which were then soloved using the new RKARMS（4, 4） method. Nested grid technique was employed for resolving the complexities of the region of interest with minimum cost. Fresh water discharge through the lower Meghna River was taken into account along the north east corner of the innermost child scheme. Numerical experiments were performed with the severe cyclone on April 1991 that crossed the coast over the study area. Simulated results by the study were found to be in good agreement with some reported data and were found to compare well with the results obtained by the MOL in addition with the classical 4th order Runge-Kutta（RK（4, 4）） method and the standard finite difference method（FDM）.

关键词： method of lines storm surge nested grid finite difference method RKARMS (4, 4) method truncation errors

Decaying items inventory models with partial linked-to-order upstream trade credit and downstream full trade credit

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Journal of Management Analytics 2022年第1期9卷 137-168页

作者： Chandan Mahato gour chandra Mahata Department of Mathematics Sidho-Kanho-Birsha UniversityPuruliaIndia

In practice,any member of supply chain may offer full or partial trade credit contract to his downstream *** trade credit is the case that the latter is allowed to defer whole payment to the end of credit *** partial trade credit,however,the downstream supply chain member must pay for a proportion of the purchased goods at first,and can delay paying for the rest until the end of credit *** paper considers a two-level trade credit,where the supplier offers order-quantity-dependent partial trade credit to a retailer,who suggests full trade credit to his *** economic order quantity(EOQ)inventory model of a deteriorating item with expiration dates is formulated *** results are developed to obtain the optimal solutions to the *** examples and sensitivity analysis are performed to justify the proposed models and theoretical results and managerial insights are provided.

关键词： Inventory two-level trade credit partial trade credit order-quantitydependent trade credit deterioration

Inventory models for deteriorating items with fixed lifetime, partial backordering and carbon emissions policies

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Journal of Management Analytics 2023年第1期10卷 129-190页

作者： Falguni Mahato Mukunda Choudhury gour chandra Mahata Department of Mathematics Sidho-Kanho-Birsha UniversityPuruliaIndia.

In this study,a sustainable inventory model is devised to obtain the retailer’s optimal pricing and replenishment policies for degrading items having a certain lifetime incorporating partial back order as a shortage and dynamic demand under two different scenarios(a)carbon cap and trade policy(b)carbon tax *** primary objective of this study is to maximize the retailer’s annual total *** retailer’s profit function has been optimized with the help of convexity/concavity criteria employing classical optimization *** on a real case study,two different numerical examples and corresponding optimal solutions have been shown for both models with the help of Lingo 17 ***,the impact of the major inventory parameters and prominent managerial insights are presented for the robustness of the proposed model that can cooperate with industrial managers/decision-makers for the overall improvement of his/her industry to take effective and qualitative decisions.

关键词： inventory time-varying deterioration price and stock-reliant demand partial backorder maximum lifetime carbon cap and trade(CCAT) carbon tax

Environmental Arsenic and Selenium Contamination and Approaches Towards Its Bioremediation Through the Exploration of Microbial Adaptations:A Review

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Pedosphere 2019年第5期29卷 554-568页

作者： Tanmoy paul Nimai chandra SAHA National Institute of Cholera and Enteric Diseases Kolkata 700010 (India) Fishery and Ecotoxicology Research Laboratory (Vice-Chancellor}s Research Group) Department of ZoologyThe University of BurdwanBurdwan 713104 (India)

Bioaccumulation of selenium and arsenic resulting from geogenic activities and aggravated by anthropogenic actions has now become a serious environmental issue. Different parts of the world are experiencing issues of selenium and arsenic contamination, especially in soil and ground water. The present selenium and arsenic contamination scenario has been well represented in contemporary literature, and there are an array of remediation techniques targeting the decontamination of environmental contamination. The use of microbe-mediated remediation of selenium and arsenic contamination is gaining scientific attention for sustainable environmental bioremediation. The present review elucidates the different aspects of selenium and arsenic contamination, bioaccumulation, and bioremediation with implications for successful decontamination of these heavy metals.

关键词： bioaccumulation biogeochemistry chemical species contaminant decontamination heavy metal microbial remediation microorganism

Variations of the harmonic components of the X-ray pulse profile of PSR B1509–58

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Research in Astronomy and Astrophysics 2015年第1期15卷 28-36页

作者： Pragati Pradhan Biswajit paul Harsha Raichur Bikash chandra paul St Joseph’s College Singamari Darjeeling 734104 West Bengal India North Bengal University Raja Rammohanpur District Darjeeling 734013 West Bengal India Raman Research Institute Sadashivnagar Bangalore 560080 India

We used the Fourier decomposition technique to investigate the stability of the X-ray pulse profile of a young pulsar PSR B1509–58 by studying the relative amplitudes and phase differences of its harmonic components with respect to the fundamental using data from the Rossi X-Ray Timing Explorer. Like most young rotation powered pulsars, PSR B1509–58 has a high spin down rate. It also has less timing noise, allowing accurate measurement of higher order frequency derivatives which in turn helps in the study of the physics of pulsar spin down. Detailed investigation of pulse profiles over the years will help us establish any possible connection between the timing characteristics and the high energy emission characteristics for this ***, the study of pulse profiles of short period X-ray pulsars can also be useful when used as a means of interplanetary navigation. The X-ray pulse profile of this source has been analyzed for 15 yr（1996–2011）. The long term average amplitudes of the first, second and third harmonics（and their standard deviation for individual measurements） compared to the fundamental are 36.9%（1.7%）, 13.4%（1.9%） and 9.4%（1.8%） respectively. Similarly, the phases of the three harmonics（and standard deviations） with respect to the fundamental are 0.36（0.06）, 1.5（0.2） and 2.5（0.3） radian respectively. We do not find any significant variation of the harmonic components of the pulse profile in comparison to the fundamental.

关键词： pulsars: individual:(PSR B1509–58) stars: neutron X-rays