检索结果-南通市图书馆

Applied mathematics and Mechanics(English Edition) 2024年第3期45卷 563-580页

作者： N.HUMNEKAR D.SRINIVASACHARYA department of mathematics National Institute of TechnologyWarangal 506004TelanganaIndia

The influence of variable viscosity and double diffusion on the convective stability of a nanofluid flow in an inclined porous channel is *** DarcyBrinkman model is used to characterize the fluid flow dynamics in porous *** analytical solutions are obtained for the unidirectional and completely developed *** on a normal mode analysis,the generalized eigenvalue problem under a perturbed state is *** eigenvalue problem is then solved by the spectral ***,the critical Rayleigh number with the corresponding wavenumber is evaluated at the assigned values of the other flow-governing *** results show that increasing the Darcy number,the Lewis number,the Dufour parameter,or the Soret parameter increases the stability of the system,whereas increasing the inclination angle of the channel destabilizes the ***,the flow is the most unstable when the channel is vertically oriented.

关键词： nanofluid inclined channel variable viscosity linear stability double dif-fusion porous medium

Painlevéintegrability,auto-Bäcklund transformations,new abundant analytic solutions including multi-soliton solutions for time-dependent extended KdV8 equation in nonlinear physics

在线全文

学校读者我要写书评

暂无评论

Journal of Ocean Engineering and Science 2024年第5期9卷 489-507页

作者： Shailendra Singh S.Saha Ray national institute of technology Department of MathematicsRourkela 769008India

In this paper,a new eighth-order(1+1)-dimensional time-dependent extended KdV equation has been *** considered equation is being found completely integrable by using the Painlevéanalysis ***,three auto-Bäcklund transformations have been generated by truncating the Painlevéseries at a constant *** auto-Bäcklund transformations have been used to derive various analytic solution families for the newly developed *** solutions include the kink-antikink soliton,kink-soliton,antikink-soliton,periodic-soliton,complex kink-soliton and complex periodic-soliton ***-soliton solutions including N-soliton solution,have been obtained by using the simplified Hirota’s method for the considered *** the results are being expressed graphically to signify the physical importance of the considered equation.

关键词： Higher-order KdV equation Painlevéanalysis Auto-Bäcklund transformation Simplified Hirota method

Solution for generalized fuzzy time-fractional Fisher’s equation using a robust fuzzy analytical approach

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Ocean Engineering and Science 2024年第5期9卷 475-488页

作者： Lalchand Verma Ramakanta Meher department of mathematics and Humanities department Sardar Vallabhbhai National Institute of Technology SuratSurat 395007 GujaratIndia

This work focuses on designing and analyzing a double parametric fuzzy Homotopy analysis approach with Shehu transform for the non-linear fuzzy time-fractional generalized Fisher’s equation(FTFGFE).A triangular fuzzy number is used to describe the Caputo fractional derivative(CFD)of order(0,1)that appears in the modeling problem.A novel double parametric form-based Homotopy analysis approach with its convergence analysis is introduced to examine the fuzzy velocities profiles at different spatial positions with crisp and fuzzy *** examples are offered to demonstrate the method’s efficacy and *** resulting results are compared to otherα=1 results to validate the obtained results and to test the efficiency of the proposed *** errors approximations are provided to support the suggested computing efficiency of the analytical method.

关键词： Double parametric Fuzzy number Fisher’s equation Fuzzy q-Homotopy analysis Shehu transform method

Nonlinear system dynamics of calcium and nitric oxide due to cell memory and superdiffusion in neurons

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2024年第5期76卷 16-32页

作者： Anand Pawar Kamal Raj Pardasani department of mathematics Bioinformatics and Computer ApplicationsMaulana Azad National Institute of TechnologyBhopal-462003Madhya PradeshIndia

The integer-order interdependent calcium([Ca^(2+)])and nitric oxide(NO)systems are unable to shed light on the influences of the superdiffusion and memory in triggering Brownian motion(BM)in ***,a mathematical model is constructed for the fractional-order nonlinear spatiotemporal systems of[Ca^(2+)]and NO incorporating reaction-diffusion equations in *** two-way feedback process between[Ca^(2+)]and NO systems through calcium feedback on NO production and NO feedback on calcium through cyclic guanosine monophosphate(cGMP)with plasmalemmal[Ca^(2+)]-ATPase(PMCA)was incorporated in the *** Crank–Nicholson scheme(CNS)with Grunwald approximation along spatial derivatives and L1 scheme along temporal derivatives with Gauss–Seidel(GS)iterations were *** numerical outcomes were analyzed to get insights into superdiffusion,buffer,and memory exhibiting BM of[Ca^(2+)]and NO *** conditions,events and mechanisms leading to dysfunctions in calcium and NO systems and causing different diseases like Parkinson’s were explored in neurons.

关键词： [Ca^(2+)]and nitric oxide signaling reaction-diffusion equations fractional-order systems Grunwald approximation Gauss-Seidel iterations

Fuzzy computational study on the generalized fractional smoking model with caputo gH-type derivatives

在线全文

学校读者我要写书评

暂无评论

International Journal of Biomathematics 2024年第4期17卷 151-194页

作者： Lalchand Verma Ramakanta Mehert department of mathematics&Humanities S.V.national institute of technology Surat-395007India

This work considers a generalized fuzzy fractional smoking model with Caputo gHtypes fractional derivatives upon considering the case of uncertainty *** disease-free equilibrium point and stability of the equilibrium point have been discussed for the fuzzy nonlinear fractional smoking *** analytical proofs for the existence and uniqueness of the proposed model are concerned with the help of the fixed-point theorem,Banach contraction,and Schauder theorem.A robust double parametric approach with a generalized transform is used to study the behavior of the fuzzy fractional model in an uncertain context and obtain the convergence analysis of the study in a crisp ***,the obtained results of the proposed model have been validated with the Runge-Kutta method of fourth order in crisp case(s=1,l=O).

关键词： Caputo fractional derivative triangular fuzzy number smoking model q-HAShTM convergence analysis

On Lie symmetries and invariant solutions of Broer-Kaup-Kupershmidt equation in shallow water of uniform depth

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Ocean Engineering and Science 2024年第3期9卷 199-206页

作者： Dig Vijay Tanwar Mukesh Kumar department of mathematics Graphic Era Deemed to be UniversityDehradun 248002India department of mathematics Motilal Nehru National Institute of Technology AllahabadPrayagraj 211004India

The dynamics of atmosphere and ocean can be examined under different circumstances of shallow water waves like shallow water gravity waves,Kelvin waves,Rossby waves and inertio-gravity *** influences of these waves describe the climate change adaptation on marine environment and ***,the present work aims to derive symmetry reductions of Broer-Kaup-Kupershmidt equation in shallow water of uniform depth and then a variety of exact solutions are *** represents the propagation of nonlinear and dispersive long gravity waves in two horizontal directions in shallow *** invariance of test equations under one parameter transformation leads to reduction of independent ***,twice implementations of symmetry method result into equivalent system of ordinary differential ***,the exact solutions of these ODEs are computed under parametric *** derive results entail several arbitrary constants and functions,which make the findings more *** on the appropriate choice of existing parameters,these solutions are supplemented numerically and show parabolic nature,intensive and non-intensive behavior of solitons.

关键词： BKK equation Lie symmetry method Invariance property Invariant solutions Solitons

Effect of distribution shape on the melting transition, local ordering,and dynamics in a model size-polydisperse two-dimensional fluid

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Physics B 2024年第7期33卷 419-428页

作者： Jackson Pame Lenin SShagolsem department of Physics National Institute of Technology ManipurImphalIndia

We study the effect of particle size polydispersity(δ) on the melting transition(T*), local ordering, solid–liquid coexistence phase and dynamics of two-dimensional Lennard–Jones fluids up to moderate polydispersity by means of computer simulations. The particle sizes are drawn at random from the Gaussian(G) and uniform(U) distribution *** these systems, we further consider two different kinds of particles, viz., particles having the same mass irrespective of size, and in the other case the mass of the particle scales with its size. It is observed that with increasing polydispersity,the value of T*initially increases due to improved packing efficiency(φ) followed by a decrease and terminates at δ ≈8%(U-system) and 14%(G-system) with no significant difference for both mass types. The interesting observation is that the particular value at which φ drops suddenly coincides with the peak of the heat capacity(CP) curve, indicating a transition. The quantification of local particle ordering through the hexatic order parameter(Q_6), Voronoi construction and pair correlation function reveals that the ordering decreases with increasing δ and T. Furthermore, the solid–liquid coexistence region for the G-system is shown to be comparatively wider in the T –δ plane phase diagram than that for the U system. Finally, the study of dynamics reveals that polydisperse systems relax faster compared to monodisperse systems;however, no significant qualitative differences, depending on the distribution type and mass polydispersity, are observed.

关键词： polydispersity ordering phase diagram dynamics

Nonsolvable Groups with Three Nonlinear Irreducible Character Codegrees

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2024年第2期45卷 173-178页

作者： Dongfang YANG Yu ZENG department of mathematics Changshu Institute of TechnologyChangshu 215500JiangsuChina

For an irreducible characterχof a?nite group G,the codegree ofχis de-?ned as|G:ker(χ)|/χ(1).In this paper,the authors determine?nite nonsolvable groups with exactly three nonlinear irreducible character codegrees,... 详细信息

关键词： Character codegree Nonsolvable group

Pion-photon and kaon-photon transition distribution amplitudes in the Nambu–Jona-Lasinio model

在线全文

学校读者我要写书评

暂无评论

Chinese Physics C 2024年第8期48卷 94-103页

作者： Jin-Li Zhang Jun Wu department of mathematics and Physics Nanjing Institute of TechnologyNanjing 211167China national Laboratory of Solid State Microstructures Department of PhysicsNanjing UniversityNanjing 210093China

The Nambu–Jona-Lasinio model is utilized to investigate the pion-and kaon-photon leading-twist transition distribution amplitudes using proper time ***,the properties of the vector and axial vector pion-photon transition distribution amplitudes are examined,and the results meet the desired *** study involves sum rule and polynomiality *** vector and axial vector pion-photon transition form factors that are present in theπ^(+)→γe^(+)νprocess are the first Mellin moments of the pion-photon transition distribution *** vector transition form factor originates from the internal structure of hadrons,the axial current can be coupled to a pion,this pion is virtual,and its contribution will be present independently of the external *** kaon transition form factors are *** vector form factor's value at zero momentum transfer is determined by the axial anomaly,while this is not the case for the axial *** vector and axial form factors,as well as the neutral pion vector form factor F_(πγγ)(t),are *** to our findings,the pion axial transition form factor is harder than the vector transition form factor and harder than the electromagnetic form *** also discuss the link betweenπ−γandγ−πtransitions distribution amplitudes.

关键词： transition form factors NJL model transition distribution amplitudes

Development of design charts to predict the dynamic response of pile supported machine foundations

在线全文

学校读者我要写书评

暂无评论

Frontiers of Structural and Civil Engineering 2024年第4期18卷 663-679页

作者： Deepthi SUDHI Sanjit BISWAS Bappaditya MANNA department of Civil Engineering National Institute TechnologyWarangal 506004India department of Civil Engineering Indian Institute of TechnologyDelhi 110016India

This paper proposes design charts for estimating imperative input parameters for continuum approach analysis of the nonlinear dynamic response of *** and analytical studies using continuum approach have been conducted on single and 2×2 grouped piles under coupled and vertical modes of vibration,for different dynamic forces and pile *** these design charts are derived from model piles,the charts have been validated for prototype pile foundations using scaling *** experimental responses of model piles are scaled up and these responses exhibit good agreement with analytical *** study also extends to estimation of the errors in computing frequency–amplitude responses with an increase in pile *** is found that,with an increase in pile length,the errors also *** effectiveness of the proposed design charts is also checked with data based on different field setups given in existing literature,and these charts are found to be ***,the developed design charts can be beneficial in estimating the input parameters for continuum approach analysis for determining the nonlinear responses of pile supported machine foundations.

关键词： pile foundation vertical vibration coupled vibration continuum approach soil-pile separation boundary zone parameters