New Trends in Applied Analysis and Computational Mathematics: Proceedings of the International Conference on Advances in Mathematics and Computing (ICAMC 2020)

Description

The volume contains original research papers as the Proceedings of the International Conference on Advances in Mathematics and Computing, held at Veer Surendra Sai University of Technology, Odisha, India, on 7-8 February, 2020. It focuses on new trends in applied analysis, computational mathematics and related areas. It also includes certain new models, image analysis technique, fluid flow problems, etc. as applications of mathematical analysis and computational mathematics.   The volume should bring forward new and emerging topics of mathematics and computing having potential applications and uses in other areas of sciences. It can serve as a valuable resource for graduate students, researchers and educators interested in mathematical tools and techniques for solving various problems arising in science and engineering. Preface Contents About the Editors A Fuzzy Two-Warehouse Inventory Model of Deteriorating Items with Exponentially Demand and Backlogged Condition 1 Introduction 2 Notations 3 Assumptions 4 Mathematical Formulation 4.1 Crisp Model 4.2 Fuzzy Model 5 Numerical Example 5.1 Crisp Model 5.2 Fuzzy Model 6 Sensitivity Analysis 7 Conclusion References A Comparative Study of Nonlinear Convection in a Confined Fluid Overlying a Porous Layer 1 Introduction 2 Analysis 3 Numerical Procedure 4 Results and Discussions 5 Conclusions References Persistence Barcoded Vehicular Traffic Videos in a Topology of Data Approach to Shape Tracking 1 Introduction 2 Preliminaries 2.1 Betti Numbers 2.2 Fermi Energy 3 Time Complexity Analysis 4 Results 5 Conclusion References Heat Transfer of MHD Channel Flow of Viscoelastic (PTT) Fluid 1 Introduction 2 Mathematical Formulation 3 Solution of the Problem 4 Heat Transfer Analysis 5 Results and Discussion 6 Conclusion References Properties of Characteristic Polynomials of Oriented Graphs 1 Introduction 2 Some Properties of the Characteristic Polynomials of Oriented Graphs References An Inventory Model for Linear Deteriorating Item with Shortages Under Partial-Backlogged Condition 1 Introduction 2 Model Notation and Assumptions 2.1 Notations 2.2 Assumptions 3 Mathematical Model Development 4 Numerical Example 5 Sensitivity Analysis 6 Conclusion References On the Local Convergence of a Sixth-Order Iterative Scheme in Banach Spaces 1 Introduction 2 Local Convergence Analysis 3 Numerical Examples 4 Conclusions References New Results on Chromatic Polynomials 1 Introduction 2 Fundamental Results References Recurrence Relations of Edge-Zagreb and Sum-Edge Characteristic Polynomials of Some Graphs 1 Introduction 2 Edge-Zagreb Adjacency Matrix and Recurrence Relations of Edge-Zagreb Characteristic Polynomials of Some Graph Types 3 Sum-Edge Adjacency Matrix and Recurrence Relations of Sum-Edge Characteristic Polynomials of Some Graph Types References Effects of Radiation on MHD Flow with Induced Magnetic Field 1 Introduction 2 Basic Equations 3 Results and Discussion 4 Conclusions References Various Approximate Multiplicative Inverse Lie -Derivations 1 Introduction 2 Stabilities of Multiplicative Inverse Lie -Derivations 3 Stabilities of Multiplicative Inverse Quadratic Lie -Derivations 4 Stabilities of Multiplicative Inverse Cubic Lie -Derivations 5 Stabilities of Multiplicative Inverse Quartic Lie -Derivations 6 Concluding Remarks References Analysis and Computation of Reactive Second-Grade Fluid Flow with Variable Viscosity Within Porous Couette Device 1 Introduction 2 Description of the Problem 3 Numerical Solution 4 Results and Discussion 5 Conclusion References Hopf Bifurcation and Stability Analysis of Delayed Lotka–Volterra Predator–Prey Model Having Disease for Both Existing Species 1 Introduction 2 Main Results 2.1 Model of Disease Prey 2.2 Model of Disease Predator 3 Concluding Remarks References An EOQ Model Without Shortages with Uncertain Cost Associated with Some Fuzzy Parameters and Interval Parameters 1 Introduction 2 Mathematical Model 3 Methodology 3.1 Methodology for Interval EOQ Models 4 Numerical Example 5 Result Discussion 6 Conclusion References Free Poisson Elements Induced by Orthogonal Projections 1 Introduction 2 Preliminaries 3 Banach *-Algebras Induced by Projections 4 Weighted-Semicircular Elements 5 Semicircular Elements Induced by Q 6 The Free Filterization 7 Free Poisson Elements of mathbbLQ 7.1 Free Poisson Elements 7.2 Free Poisson Elements of mathbbLQ Induced by mathcalS 7.3 Free Poisson Elements of mathbbLQ Induced by mathcalX 8 Free Weighted-Poisson Elements of mathbbLQ 8.1 Free Weighted-Poisson Elements 8.2 Free Weighted-Poisson Elements of mathbbLQ Induced by mathcalS 8.3 Free Weighted-Poisson Elements of mathbbLQ Induced by mathcalX 9 More About Free Poisson Elements of mathbbLQ 9.1 Free Poisson Elements Induced by Certain Free Sums in mathcalS 9.2 Free Poisson Elements of mathbbLQ Induced by Free Poisson Elements References On Approximation of Functions in the Generalized Zygmund Class Using (E,r)(N,qn) Mean Associated with Conjugate Fourier Series 1 Introduction 2 Definitions and Notations 3 Known Result 4 Main Result 5 Proofs of the Theorem and Lemmas 6 Concluding Remarks and Observations References Electrification Effect of Nanoparticles on Nanofluid Flow over a Continuous Stretching Sheet 1 Introduction 2 Mathematical Formulations 3 Similarity Transformation 4 The Quantities of Physical Interest 5 Results and Discussion 5.1 Impact of Electrification 5.2 Impact of Brownian Diffusion 5.3 Impact of Thermophoresis 6 Conclusions References Determinantal Formulas and Recurrent Relations for Bi-Periodic Fibonacci and Lucas Polynomials 1 Introduction and Preliminaries 2 Determinantal Formulas 3 Recurrent Relations 4 Remarks References PBIB Designs and Their Association Schemes Arising from Minimum Bi-Independent Dominating Sets of Circulant Graphs 1 Introduction 1.1 Circulant Graph Cp(1) 1.2 Circulant Graph Cp("4262304 p2"5263305 ) 1.3 Circulant Graph Cp(1, 3, …, "4262304 p2"5263305 ) 1.4 Circulant Graph Cp(1, 3, …, "4262304 p2"5263305 -1) 1.5 Circulant Graph Cp(1,2,…,"4262304 p2"5263305 ) 1.6 Matrix Representation of Circulant Graphs via Association Schemes 1.7 The Parameters of PBIB Designs 2 Conclusion References Skew-Harmonic and Skew-Sum Connectivity Energy of Some Digraphs 1 Introduction 2 New Energies over Special Digraphs 2.1 Case I: Complete Digraphs 2.2 Case II: Star Digraphs 2.3 Case III: Hyperoctahedral Digraphs 2.4 Case IV: Crown Digraphs 2.5 Case V: Complete Bipartite Digraphs 3 New Energies over Complements of Special Digraphs 3.1 Case I: Complement of a Complete Digraph 3.2 Case II: Complement of a Star Digraph 3.3 Case III: Complement of a Hyperoctahedral Digraph 3.4 Case IV: Complement of a Complete Bipartite Digraph 4 Conclusion References Multi-valued Analysis of CR Iterative Process in Banach Spaces 1 Introduction 2 Preliminaries 3 Main Results 4 Conclusion References Author Index