## Advances in Applied MathematicsThis 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. |

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### Contents

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12 | |

Modeling Human Response to BedNet Promotion Campaigns and Its Impact on Malaria Transmission | 23 |

Computational Modelling and Optimal Control of HIVAIDS Transmission in a Community with Substance Abuse Problem | 31 |

Standard Difference Scheme for a Singularly Perturbed ConvectionDiffusion Equation in the Presence of Perturbations | 41 |

A Higher Order Immersed Discontinuous Galerkin Finite Element Method for the Acoustic Interface Problem | 56 |

A ParameterUniform Numerical Method for a Boundary Value Problem for a Singularly Perturbed Delay Differential Equation | 71 |

Optimal LError Estimate for a System of Elliptic QuasiVariational Inequalities with Noncoercive Operators | 89 |

Numerical Study of TwoDimensional Jet Flow Issuing from a Funnel | 161 |

HigherOrder Immersed Finite Element Spaces for SecondOrder Elliptic Interface Problems with Quadratic Interface | 170 |

Calendering Analysis of a NonNewtonian Material | 179 |

Wavelet Solution of ConvectionDiffusion Equation with Neumann Boundary Conditions | 197 |

Test of Causality Between Oil Price and GDP Growth in Algeria | 205 |

Solution Behavior of Heston Model Using Impression Matrix Norm | 215 |

Approximations to the Solution of the FrankKamenetskii Equation in a Spherical Geometry | 223 |

Blowup of Series Solutions on the Half Line | 231 |

Convergence of Finite Element Approximations for Generalized Marguerrevon Kármán Equations | 97 |

The Maple Program Procedures at Solution Systems of Differential Equation with Taylor Collocation Method | 107 |

Numerical Study of Convective Heat and Mass Transfer Flow in Channels | 115 |

A Parameter Uniform Method for an Initial Value Problem for a System of Singularly Perturbed Delay Differential Equations | 126 |

A Technique to Construct Grid Methods of Higher Accuracy Order for a Singularly Perturbed Parabolic ReactionDiffusionEquation | 139 |

Spectral Analysis of Large Sparse Matrices for Scalable Direct Solvers | 153 |

When Are They Similar? | 239 |

Analysis of Customers Impatience in MM1 Queues with Server Subject to Random Breakdowns and Exponential Vacations | 249 |

A Case Study | 255 |

A Fuzzy Graph Approach | 267 |

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A.R. Ansari Advances in Applied analysis Applied Mathematics approximation autocatalytic set boundary conditions boundary value problem capillary supply cells coefficient computer perturbations consider convergence defective matrix defined delay differential equations denote diffusion discrete dynamics e-mail eigenvalues error estimate finite difference finite element method fluid fundamental solution fuzzy Granger causality graph grid solution HELM2D03LOWER_20K Heston model infected interface problems International Publishing Switzerland inventory Keywords Lemma linear Math Mathematics & Statistics matrix norm maximum principle membership value nodes nonlinear number of orders numerical solution obtained oil price optimal control oxygen parameter perturbed delay differential Phys Proceedings in Mathematics Publishing Switzerland 2014 quadratic Richardson extrapolation server singular component singularly perturbed delay ſş solve Springer International Publishing Springer Proceedings standard difference scheme Statistics 87 subdiffusion Table Theorem tissue UHeM uniform convergence uniform grid variables velocity