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2023 | Buch

Multilevel Meshfree RBF-FD Method for Elliptic Partial Differential Equations Kapitel lesen Erstes Kapitel lesen

Engineering Mathematics and Computing

herausgegeben von: Park Gyei-Kark, Dipak Kumar Jana, Prabir Panja, Mohd Helmy Abd Wahab

Verlag: Springer Nature Singapore

Buchreihe : Studies in Computational Intelligence

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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SUCHEN

Über dieses Buch

This book contains select papers presented at the 3rd International Conference on Engineering Mathematics and Computing (ICEMC 2020), held at the Haldia Institute of Technology, Purba Midnapur, West Bengal, India, from 5–7 February 2020. The book discusses new developments and advances in the areas of neural networks, connectionist systems, genetic algorithms, evolutionary computation, artificial intelligence, cellular automata, self-organizing systems, soft computing, fuzzy systems, hybrid intelligent systems, etc. The book, containing 19 chapters, is useful to the researchers, scholars, and practising engineers as well as graduate students of engineering and applied sciences.

Inhaltsverzeichnis

Frontmatter
Multilevel Meshfree RBF-FD Method for Elliptic Partial Differential Equations
Abstract
In this work, two multilevel augmented local radial basis function (RBF-FD) meshless algorithms have been developed to enhance the convergence rate of the RBF-FD scheme. The developed algorithm is tested with the 2D Poisson equation and convection-diffusion equation. The developed schemes save \(60.1\%\) and \(79.9\%\) of the CPU time for the Poisson equation and \(76.4\%\) and \(76.4\%\) of the CPU time for the convection-diffusion equation with respect to the usual local RBF method by the v-cycle and bootstrap multilevel RBF-FD methods, respectively. The iteration matrix of the enhanced local RBF method satisfies the necessary and sufficient conditions for convergence.
Nikunja Bihari Barik, T. V. S. Sekhar
Some Fixed Point Theorems in Fuzzy Strong b-Metric Spaces
Abstract
In this paper, some fixed point theorems are established in strong fuzzy b-metric space for different types of generalized contraction mappings.
S. Chatterjee, Arunima Majumder, T. Bag
Fuzzy Random Continuous Review Inventory Model with Controllable Lead-Time and Exponential Crashing Cost
Abstract
In this paper, a continuous review inventory model is studied in a mixed imprecise and uncertain environment. A methodology is proposed to quantify both imprecise (fuzzy) and stochastic (random) information simultaneously. This enables the simultaneous inclusion of both the inherent randomness present in any real-life inventory situation and the subjective evaluation of the decision maker into the model. A methodology is developed by assuming the annual customer demand to be a continuous fuzzy random variable following normal distribution with associated fuzzy probability density function. Also the lead-time is assumed to be a control parameter and a lead-time crashing cost, in the form of an exponential function, is incorporated into the total inventory cost. The optimal values of the decision variables are determined so that the crisp equivalent of total expected annual inventory cost is a minimum. Numerical analysis is presented to illustrate the proposed model and provide some insights.
Wasim Firoz Khan, Oshmita Dey
Existence of Quadruple Fixed Point Results in Ordered K-Metric Space Through C-Distance with Application in Integral Equation
Abstract
In 2011, Berinde and Borcut [9] proved tripled coincidence point theorems in partially ordered metric spaces. In this article, we extend the result of Berinde et al. from tripled to quadruple in a more generalized way, i.e., we extend the result using c-distance under partially ordered cone metric space. In the end, one example is given to justify our main result. To validate our result, we also provide one application in integral equation.
Sudipta Kumar Ghosh, C. Nahak
Dice Similarity Measure for Fuzzy Numbers and its Applications in Multi-critera Decision Making and Pattern Recognition
Abstract
Owing to the uncertainty classical decision-making process becomes more multifarious and reprehensible, and, consequently, the fuzzy decision-making process was developed. In the fuzzy decision-making process, measuring similarity plays a crucial role in discriminating between two uncertain parameters or sets of objects. Fortunately, different similarity measures have been developed in the literature to manage uncertain factors in our real-life problems; however, some do not yield desirable outcomes. In this regard, an effort has been made to construct a new dice similarity measure of fuzzy numbers based on the exponential area of expected intervals of membership functions. Subsequently, some discussion on essential properties of the proposed similarity measure is presented. To demonstrate the proposed approach’s validity and novelty, a comparison between the proposed method and existing methods is performed by adopting some pairs of fuzzy numbers from previous works. At last, multi-criteria decision-making problems and pattern recognition through the concept of proposed dice similarity measure of fuzzy numbers have been demonstrated to show its applicability in our real-life problems.
Palash Dutta, Bornali Saikia
Identifying Cyberspace Users’ Tendency in Blog Writing Using Machine Learning Algorithms
Abstract
A blog is a form of direct interactive communication technology, which allows users to interact and communicate with each other through posting comments and sharing links as well. A blog is a platform where a writer or group of writers gives their opinion on a specific topic. Many issues and topics that are in a certain country being censored and controlled by the government from being presented through the mass media. Nevertheless, blogs have the space to provide a wide platform for exchanging ideas and opinions on various issues. There is a specific proportion between blog features and bloggers’ tendency to social, political, and cultural patterns of different countries and nations that create trends among the bloggers in these countries. In this paper, we use an existing data set from previous research, which has 100 records of data, and manipulate the data by applying three machine learning algorithms for implementing classification and regression tasks. The algorithms are Decision Tree (c4.5), Linear Regression (LR), and Decision Forest (DF) with a 10-fold cross-validation method for training and testing. The results showed that C4.5 achieves the best overall results of 81% accuracy, 83% precision, and 91% recall, compared with the other two algorithms.
Samah W. G. AbuSalim, Salama A. Mostafa, Aida Mustapha, Rosziati Ibrahim, Mohd Helmy Abd Wahab
An Intelligent Intrusion Detection System Using a Novel Combination of PCA and MLP
Abstract
Cyber threats are diversified in both volume and variety as most of the organizations develop and accept emerging technologies related to big data, cloud computing, and Internet of Things. In the area of cyber security, intrusion detection system (IDS) plays a significant role to identify the existing attack from network traffic. Over the past few decades, a lot of research works have been performed in this area. Researchers have used DARPA, KDD98, KDD99, and NSL-KDD datasets as a benchmark for their experiments. However, in the current network scenario, these datasets do not intuitively reflect proper network traffic and modern low footprint attacks. In this regard, this paper proposes a novel intrusion detection technique, where principal component analysis (PCA) has been used for dimensionality reduction, and multilayer perceptron (MLP) has been applied for classification. All the experiments have been conducted over the current UNSW-NB15 dataset consisting of a total of 2540,044 records with 9 different types of modern low footprint attacks. The experimental results demonstrate that the proposed misuse-based technique achieved a higher detection rate and low false alarm rate in comparison with other existing methods in the literature.
Ratul Chowdhury, Arindam Roy, Banani Saha, Samir Kumar Bandyopadhyay
Ion Partitioning Effects on Electroosmotic Flow Through pH Regulated Cylindrical Nanopore
Abstract
The ion partitioning effects on electroosmotic flow have been studied through pH-regulated polyelectrolyte grafted cylindrical nanopore. The permittivity between the polyelectrolyte layer and electrolyte solution are taken differently, which generates ion partitioning. The surface charge density of the nanopore is negative, while the charge density in the polyelectrolyte layer depends on the pH values and concentration in aqueous solution. The present model of the electroosmotic flow through pH-regulated polyelectrolyte layer is considered Nernst–Planck equation for the ionic species, Navier–Stokes equation in modified form for flow and Poisson equation for potential distribution. These governing equations are solved numerically on a staggered grid system by finite volume method. This article investigates the importance of different dielectric permittivity, ionic strength, pH values, softness, and the charged density of the nanopore wall. The permittivity ratio is defined by the permittivity of polyelectrolyte layer and electrolyte solution. The average electroosmotic flow decreases with the permittivity ratio. The increase in the softness parameter decreases the flow rate. The ion partitioning contributes to the penetration effect of counter ions in the polyelectrolyte layer, which decreases the body force, and hence affects the electroosmotic flow rate.
Subrata Bera, S. Bhattacharyya
Optimal Control of Complementary and Substitute Items in a Production System for Infinite Time Horizon
Abstract
The objective of this paper is to formulate an optimal control problem under infinite time horizon for complementary and substitute items. Here the advertisement rate is unknown which considered as a control variable and the stock level is taken as state variable. The demand is controlled by stock as well as advertisement rate. The unit production cost is a function of production rate and also dependent on raw material cost, development cost due to reliability and wear-tear cost. In the production process, reliability plays an important role to improve the quality of products and to decrease the defective rate. It is formulated to optimize the advertisement rate and maximize the optimal profit. Finally, total profit, which consists of the revenue, production cost, holding cost, and advertisement cost, is formulated as optimal control in the steady state with infinite time horizon. The effect of time value of money is taken into consideration. The model is formulated analytically for substitute and complementary items. The optimum results are illustrated and solved by Lyapunov Stability Theory and Pontryagin’s Maximum Principle accordingly. A sensitivity analysis is also presented with respect to time value of money.
J. N. Roul, K. Maity, S. Kar, M. Maiti
On a New Class of Szász-Type Operators Based on Beta Function
Abstract
In this paper, the Durrmeyer-type modification of Szász-type operators using the Beta function is introduced. First, some fundamental properties of these operators are studied and then approximation properties of a sequence of these operators using the Korovkin theorem are investigated. The rate of approximation by the modulus of continuity is estimated. Further, the Voronovskaja-type asymptotic result for these operators is also established.
Dhawal J. Bhatt, Ranjan Kumar Jana, Vishnu Narayan Mishra
Numerical Solution of Intuitionistic Fuzzy Differential Equation by Using the Simpson Method
Abstract
In this paper, we study the numerical solution of intuitionistic fuzzy initial value differential equations \( x'(t) = f(t,x(t)), t\in I, \ \ x(t_0)=x_0 \) by using the Simpson method. Then this method is illustrated by an example.
H. Atti, R. Ettoussi, S. Melliani, M. Oukessou, L. S. Chadli
Comparison of AI Techniques in Modeling of Transportation Cost for Persons with Disabilities
Abstract
People with disabilities are people with abnormalities or physical disabilities, intellectually or mentally. Usually, persons with disabilities will receive a pension or compensation for living costs from the government. However, the transportation cost is another concern for the handicapped living in a developing country because distinctive disability types may fluctuate the costs. This paper will show the comparison of artificial intelligence techniques, Artificial Neural Network, Decision Tree Classifier, LR, LDA, k-Nearest Neighbor, CART, and Naïve Bayes algorithms to foresight the transportation cost for persons with disabilities, from their home to the government office center, to help the government allocate subsidiary funds to aid persons with disabilities. The details of the cleaning dataset and some better accuracy result configuration will explain in detail. The models can be utilized to predict the expected transportation cost from a bird’s-eye view of the government. It also could be adopted for public transport outlining and other amenities for persons with disabilities in Songkhla Province, Thailand.
Sasalak Tongkaw
Further Results on Weighted Entropy for Doubly Truncated Random Variable
Abstract
In reliability theory, it is expected that a unit which fails to operate provides different information in two different but equal wide intervals. To deal with such situations, the concept of weighted Shannon’s entropy was developed. Misagh and Yari [10] introduced the notion of weighted doubly truncated entropy (WDTE) of random lifetimes and studied various properties of it. Doubly truncated data appear in some applications with survival and astrological data. In the present communication, we obtain further results based on this measure. The effect of monotone transformations and affine transformation on this measure are discussed. It is shown that WDTE characterizes the distribution uniquely. Further, new uncertainty order is obtained. Finally, based on WDTE a new class of lifetime distributions is introduced.
Rajesh Moharana, Suchandan Kayal
Manning-Rosen Potential with Position Dependent Mass in Quantum Mechanics via LTM
Abstract
Schrödinger equation within the framework of position-dependent mass for Manning-Rosen potential is studied with the help of Laplace transform method combining with Point Canonical transformation. The general solutions are obtained via Pekeris approximation appropriate for potential analogues to Manning-Rosen potential. The bound state solutions are obtained in an analytical form.
S. Sur, B. Biswas, S. Debnath
Physics Simulation Based Approach to Node Clustering
Abstract
We present a novel method of node clustering that is based on carrying out a physical simulation. We treat nodes of a graph as point-sized unit mass particles that interact with each other as well as the space (multi-dimensional) that they are present in through certain defined physical forces. As the configuration of the system evolves during the simulation, similar nodes coalesce while the dissimilar nodes separate out, thus allowing node clusters to emerge. We have experimented with this idea on graphs with up to 300 nodes and have found it to work well. Doing so also allowed us to solve problems of network community detection by utilizing existing density based clustering algorithms, which otherwise would not be possible.
Kapil Kalra, K. N. Nikhila, Sujit Kumar Chakrabarti
Isolated Bangla Spoken Digit and Word Recognition Using MFCC and DTW
Abstract
Digit recognition is one of the elegant research topics in modern world. Scientists had already got an excellent output in their research work on this topic for English and Chinese like languages. However, very few works exist on digit recognition for regional language. Moreover in case of regional language the pronunciation rapidly varies on the basis of area and the performance of their proposed recognition reasonably low. In this paper we have worked on digit recognition on a regional language, Bengali referred to as Bangla. In our proposed work of isolated digit and word recognition, we created a small speech database, containing ten Bangla digit zero to nine (pronounced as ‘sunno’ to ‘noi’) and four Bangla words https://static-content.springer.com/image/chp%3A10.1007%2F978-981-19-2300-5_16/MediaObjects/527735_1_En_16_Figa_HTML.gif (English equivalent Right, Left, Above, and Below respectively) with 100 samples for each class. We have done a pre-processing phase, followed by a 39 dimensional feature extraction procedure of Mel Frequency Cepstral Coefficients (MFCC), \(\varDelta \) MFCC and \(\varDelta \) \(\varDelta \) MFCC. Finally, we used the Dynamic Time Warping (DTW) for classification of testing purpose. The system has achieved a highest accuracy of 93% for classification of Bangla words and digits, which is considerably satisfactory. The comparative analysis with the existing method is given in Sect. 5.
Bachchu Paul, Rakesh Paul, Somnath Bera, Santanu Phadikar
An EOQ Model for Deteriorating Items under Trade Credit Policy with Unfaithfulness Nature of Customers
Abstract
In this study, an EOQ model has been developed for a deteriorating item with time dependent deterioration with a fixed expiration date under partial trade credit policy considering the unfaithfulness nature of the base customers. The main purpose of this research work is two folds. First, the unethical behaviour of the base customers is considered. On the other hand, a non-trivial flaw has been rectified, considering all the inventory models with deteriorating items under trade credit policy, developed in the last two decades. The proposed model is illustrated with various numerical examples. Some managerial insights are also outlined.
Rituparna Mondal, Prasenjit Pramanik, Ranjan Kumar Jana, Manas Kumar Maiti, Manoranjan Maiti
Analysis of 2PADCL Energy Recovery Logic for Ultra Low Power VLSI Design for SOC and Embedded Applications
Abstract
Here in this scope we have proposed a noble adiabatic dynamic CMOS logic circuit known as two phase adiabatic dynamic logic. The proposed two 2 phase ADCL uses two complementary sinusoidal power supply clocks known as power clock. As a result, the propagation delay of the 2PADCL is smaller than that of the conventional ADCL circuits and conventional CMOS circuits. The simulation results also show that the power dissipation of the 2PADCL circuit is lower than those of other conventional adiabatic logic circuits and conventional CMOS circuits. The adiabatic performance parameter which is known as energy saving factor is also estimated in lower and higher frequency ranges. We have also estimated the power delay product of ADCL and proposed 2PADCL logic.
Samik Samanta, Rajat Mahapatra, Ashis Kumar Mal
Investigating the Impact of Social Media Marketing on Business Performance of Different Brands in Indian Cosmetics Market: An Empirical Study
Abstract
The Indian cosmetic product is becoming a booming sector. The Indian cosmetic market is growing rapidly with the help of social media over the last few decades. Indian cosmetics industries are always trying to invent and use different ways of marketing techniques to enhance the sale. Social media marketing is an intriguing and effective way of marketing. It is a kind of marketing that is unique, and it is a way of unpaid advertisement on behalf of the brand which is conducted by loyal customers. In this paper, we are trying to understand how social media marketing has impacted the Indian cosmetic industry. The aim of this paper is to study the factors related to social media marketing and their impact on the purchase intention of customers which deals with business performance of a wide range of Indian cosmetic products including branded low or medium price category. In this study, Structural Equation Modeling and Exploratory Factor Analysis (EFA) by SPSS-23 and AMOS-23 were used to analyze the data and to establish a research model for assessing influences of Social Media Marketing toward business performance of different Brands in Indian cosmetics Market.
Jayeeta Majumder, Arunangshu Giri, Sourav Gangopadhyay
Metadaten
Titel
Engineering Mathematics and Computing
herausgegeben von
Park Gyei-Kark
Dipak Kumar Jana
Prabir Panja
Mohd Helmy Abd Wahab
Copyright-Jahr
2023
Verlag
Springer Nature Singapore
Electronic ISBN
978-981-19-2300-5
Print ISBN
978-981-19-2299-2
DOI
https://doi.org/10.1007/978-981-19-2300-5

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