Advances in Applied Mathematics

Description

This volume contains contributions from the Gulf International Conference in Applied Mathematics, held at the Gulf University for Science & Technology. The proceedings reflects the three major themes of the conference. The first of these was mathematical biology, including a keynote address by Professor Philip Maini. The second theme was computational science/numerical analysis, including a keynote address by Professor Grigorii Shishkin. The conference also addressed more general applications topics, with papers in business applications, fluid mechanics, optimization, scheduling problems and engineering applications, as well as a keynote by Professor Ali Nayfeh. Front Matter....Pages i-xi Modelling Collective Cell Motion in Biology....Pages 1-11 Modelling Oxygen Capillary Supply to Striated Muscle Tissues....Pages 13-21 Modeling Human Response to Bed–Net Promotion Campaigns and Its Impact on Malaria Transmission....Pages 23-30 Computational Modelling and Optimal Control of HIV/AIDS Transmission in a Community with Substance Abuse Problem....Pages 31-40 Standard Difference Scheme for a Singularly Perturbed Convection-Diffusion Equation in the Presence of Perturbations....Pages 41-55 A Higher Order Immersed Discontinuous Galerkin Finite Element Method for the Acoustic Interface Problem....Pages 57-69 A Parameter-Uniform Numerical Method for a Boundary Value Problem for a Singularly Perturbed Delay Differential Equation....Pages 71-88 Optimal L ∞ -Error Estimate for a System of Elliptic Quasi-Variational Inequalities with Noncoercive Operators....Pages 89-96 Convergence of Finite Element Approximations for Generalized Marguerre–von Kármán Equations....Pages 97-106 The Maple Program Procedures at Solution Systems of Differential Equation with Taylor Collocation Method....Pages 107-114 Numerical Study of Convective Heat and Mass Transfer Flow in Channels....Pages 115-125 A Parameter Uniform Method for an Initial Value Problem for a System of Singularly Perturbed Delay Differential Equations....Pages 127-138 A Technique to Construct Grid Methods of Higher Accuracy Order for a Singularly Perturbed Parabolic Reaction-Diffusion Equation....Pages 139-151 Spectral Analysis of Large Sparse Matrices for Scalable Direct Solvers....Pages 153-160 Numerical Study of Two-Dimensional Jet Flow Issuing from a Funnel....Pages 161-169 Higher-Order Immersed Finite Element Spaces for Second-Order Elliptic Interface Problems with Quadratic Interface....Pages 171-178 Calendering Analysis of a Non-Newtonian Material....Pages 179-196 Wavelet Solution of Convection-Diffusion Equation with Neumann Boundary Conditions....Pages 197-204 Test of Causality Between Oil Price and GDP Growth in Algeria....Pages 205-213 Solution Behavior of Heston Model Using Impression Matrix Norm....Pages 215-221 Approximations to the Solution of the Frank-Kamenetskii Equation in a Spherical Geometry....Pages 223-230 Blowup of Series Solutions on the Half Line....Pages 231-238 Two Models of Subdiffusion Processes: When Are They Similar?....Pages 239-248 Analysis of Customers’ Impatience in M/M/1 Queues with Server Subject to Random Breakdowns and Exponential Vacations....Pages 249-254 Exchange Curve and Coverage Analysis Tools for Better Inventory Management: A Case Study....Pages 255-265 Modelling Combustion Process in Circulating Fluidised Bed Boiler: A Fuzzy Graph Approach....Pages 267-274