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Journal of Ocean Engineering and Science 2022年第3期7卷 203-212页

作者： Archana C.Varsoliwala twinkle r.singh Applied Mathematics and Humanities Department Sardar Vallabhbhai National Institute of TechnologySurat395007GujaratIndia

This article involves the study of atmospheric internal waves phenomenon,also referred to as gravity *** phenomenon occurs inside the fluid,not on the *** model is based on a shallow fluid hypothesis represented by a system of nonlinear partial differential *** basic assumption of the shallow flow model is that the horizontal size is much larger than the vertical *** internal waves can be perfectly represented by this model as the waves are spread over a large horizontal *** we used the Elzaki Adomian Decomposition Method(EADM)to obtain the solution for the considered model along with its convergence *** Adomian decomposition method together with the Elzaki transform gives the solution in a convergent series without any linearization or *** are built between the results obtained by EADM and HAM to examine the accuracy of the proposed method.

关键词： Atmospheric internal waves Shallow-fluid equations System of nonlinear PDEs Elzaki Adomian decomposition method Climate prediction

Mathematical modeling of tsunami wave propagation at mid ocean and its amplification and run-up on shore

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Journal of Ocean Engineering and Science 2021年第4期6卷 367-375页

作者： Archana C.Varsoliwala twinkle r.singh Applied Mathematics and Humanities Department Sardar Vallabhbhai National Institute of TechnologySurat 395007GujaratIndia

The paper deals with the study of the mathematical model of tsunami wave propagation along a coast-line of an *** model is based on shallow-water assumption which is represented by a system of non-linear partial differential *** this study,we employ the Elzaki Adomian Decomposition Method(EADM)to successfully obtain the solution for the proposed model for different coastal slopes and ocean *** tsunami wave velocity and run-up height are affected by the coast slope and sea depth are *** Adomian Decomposition Method together with Elzaki transform allows for solutions,without the need of any linearization or perturbation,in the form of rapidly converging *** obtained numerical results for tsunami wave height and velocity are very close match to the real physical phenomenon of tsunami.

关键词： Tsunami wave propagation run-up height Shallow water equations Elzaki Adomian Decomposition Method Convergence analysis

Grinding analysis of Indian coal using response surface methodology

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International Journal of Coal Science & Technology 2016年第2期3卷 184-190页

作者： twinkle singh Aishwarya Awasthi Pranjal Tripathi Shina Gautam Alok Gautam Jaypee University of Engineering & Technology A-B RoadRaghogarh Guna India Shroff S. r. rotary Institute of Chemical Technology Ankleshwar Gujarat India

The present work discusses a systematic approach to model grinding parameters of coal in a ball mill. A three level Box–Behnken design combined with response surface methodology using second order model was applied to the experiments done according to the model requirement. Three parameters ball charge (numbers 10–20), coal content (100–200 g) and the grinding time (4–8 min) were chosen for the experiments as well as for the modeling work. Coal fineness is defined as the d80 (80 % passing size). A quadratic model was developed to show the effect of parameters and their interaction with fineness of the product. Three different sizes (4, 1 and 0.65 mm) of Indian coal were used. The model equations for each fraction were developed and different sets of experiments were performed. The predicted values of the fineness of coal were in good agreement with the experimental results (r 2 values of d80 varies between 0.97 and 0.99). Fine size of three different coal sizes were obtained with larger ball charge with less grinding time and less solid content. This work represents the efficient use of response surface methodology and the Box–Behnken design use for grinding of Indian coal.

关键词：煤粉细度磨削参数响应面法 Box-Behnken设计印度建模方法研磨时间响应面方法

The Mixture of New Integral Transform and Homotopy Perturbation Method for Solving Discontinued Problems Arising in Nanotechnology

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Open Journal of Applied Sciences 2015年第11期5卷 688-695页

作者： Kunjan Shah twinkle singh Applied Mathematics and Humanities Department S. V. National Institute of Technology Surat India

In this paper, a reliable algorithm based on mixture of new integral transform and homotopy perturbation method is proposed to solve a nonlinear differential-difference equation arising in nanotechnology. Continuum hypothesis on nanoscales is invalid, and a differential-difference model is considered as an alternative approach to describing discontinued problems. The technique finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. Comparison of the approximate solution with the exact one reveals that the method is very effective. It provides more realistic series solutions that converge very rapidly for nonlinear real physical problems.

关键词： New Integral Transform Homotopy Perturbation Method He’s Polynomials Discretized mKDV Lattice Equation Nanotechnology

A Solution of the Burger’s Equation Arising in the Longitudinal Dispersion Phenomenon in Fluid Flow through Porous Media by Mixture of New Integral Transform and Homotopy Perturbation Method

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Journal of Geoscience and Environment Protection 2015年第4期3卷 24-30页

作者： Kunjan Shah twinkle singh Applied Mathematics and Humanities Department Sardar Vallabhbhai National Institute of Technology Surat India

The main aim of the paper is to examine the concentration of the longitudinal dispersion phenomenon arising in fluid flow through porous media. These phenomenon yields a partial differential equation namely Burger’s equation, which is solved by mixture of the new integral transform and the homotopy perturbation method under suitable conditions and the standard assumption. This method provides an analytical approximation in a rapidly convergent sequence with in exclusive manner computed terms. Its rapid convergence shows that the method is trustworthy and introduces a significant improvement in solving nonlinear partial differential equations over existing methods. It is concluded that the behaviour of concentration in longitudinal dispersion phenomenon is decreases as distance x is increasing with fixed time t > 0 and slightly increases with time t.

关键词： Longitudinal Dispersion Phenomenon Porous Media New Integral Transform Homotopy Perturbation Method