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## Recent Advances on Methods and Applications of Nonlinear Differential Equations

Guest Editors: Chaudry Masood Khalique, Mufid Abudiab, Fazal Mahmood Mahomed, Hossein Jafari, and Guo-Cheng Wu- Recent Advances on Methods and Applications of Nonlinear Differential Equations, Chaudry Masood Khalique, Mufid Abudiab, Fazal Mahmood Mahomed, Hossein Jafari, and Guo-Cheng Wu

Volume 2014 (2014), Article ID 787412, 1 page - Bezier Curves Based Numerical Solutions of Delay Systems with Inverse Time, F. Ghomanjani, M. H. Farahi, A. Kılıçman, A. V. Kamyad, and N. Pariz

Volume 2014 (2014), Article ID 602641, 16 pages - Analytical Approximate Expression for Cocurrent Imbibition during Immiscible Two-Phase Flow through Porous Media, Saroj R. Yadav and Manoj N. Mehta

Volume 2014 (2014), Article ID 638409, 6 pages - Numerical Analysis for the Synthesis of Biodiesel Using Spectral Relaxation Method, Z. G. Makukula, S. S. Motsa, and S. Shateyi

Volume 2014 (2014), Article ID 601374, 6 pages - Bezier Curves for Solving Fredholm Integral Equations of the Second Kind, F. Ghomanjani, M. H. Farahi, and A. Kılıçman

Volume 2014 (2014), Article ID 147497, 6 pages - Lower Bounds Estimate for the Blow-Up Time of a Slow Diffusion Equation with Nonlocal Source and Inner Absorption, Zhong Bo Fang, Rui Yang, and Yan Chai

Volume 2014 (2014), Article ID 764248, 6 pages - Solution for Nonlinear Three-Dimensional Intercept Problem with Minimum Energy, Henzeh Leeghim, Donghoon Kim, and James Turner

Volume 2013 (2013), Article ID 435725, 8 pages - Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind, Abdon Atangana and Necdet Bildik

Volume 2013 (2013), Article ID 981526, 11 pages - Optimal Investment and Consumption Decisions under the Constant Elasticity of Variance Model, Hao Chang, Xi-min Rong, Hui Zhao, and Chu-bing Zhang

Volume 2013 (2013), Article ID 974098, 11 pages - Solitary Wave Solutions of the Boussinesq Equation and Its Improved Form, Reza Abazari and Adem Kılıçman

Volume 2013 (2013), Article ID 468206, 8 pages - An Iteration Scheme Suitable for Solving Limit Cycles of Nonsmooth Dynamical Systems, Q. X. Liu, Y. M. Chen, and J. K. Liu

Volume 2013 (2013), Article ID 582865, 5 pages - Characterization of Symmetry Properties of First Integrals for Submaximal Linearizable Third-Order ODEs, K. S. Mahomed and E. Momoniat

Volume 2013 (2013), Article ID 214872, 9 pages - Equivalent Mathematical Representation of Second-Order Damped, Driven Nonlinear Oscillators, Alex Elías-Zúñiga and Oscar Martínez-Romero

Volume 2013 (2013), Article ID 670845, 11 pages - Mean-Square Stability of Milstein Methods for Stochastic Pantograph Equations, Feiyan Xiao, Tingting Qin, and Chengjian Zhang

Volume 2013 (2013), Article ID 724241, 7 pages - Design of Filter for a Class of Switched Linear Neutral Systems, Caiyun Wu and Yue-E. Wang

Volume 2013 (2013), Article ID 537249, 9 pages - Hopf Bifurcation of an Improved SLBS Model under the Influence of Latent Period, Chunming Zhang, Wanping Liu, Jing Xiao, and Yun Zhao

Volume 2013 (2013), Article ID 196214, 10 pages - He Chengtian’s Inequalities for a Coupled Tangent Nonlinear System Arisen in Packaging System, Jun Wang, Zhi-geng Fan, Li-xin Lu, An-jun Chen, and Zhi-wei Wang

Volume 2013 (2013), Article ID 604850, 4 pages - Reorientation of Asymmetric Rigid Body Using Two Controls, Donghoon Kim, James D. Turner, and Henzeh Leeghim

Volume 2013 (2013), Article ID 708935, 8 pages - Differential Evolution-Based PID Control of Nonlinear Full-Car Electrohydraulic Suspensions, Jimoh O. Pedro, Muhammed Dangor, Olurotimi A. Dahunsi, and M. Montaz Ali

Volume 2013 (2013), Article ID 261582, 13 pages - A New Method for Parameter Sensitivity Analysis of Lorenz Equations, Mehmet Ali Akinlar

Volume 2013 (2013), Article ID 537207, 7 pages - Fundamental-Solution-Based Hybrid Element Model for Nonlinear Heat Conduction Problems with Temperature-Dependent Material Properties, Hui Wang, Ming-Yue Han, Fang Yuan, and Zhao-Ran Xiao

Volume 2013 (2013), Article ID 695457, 8 pages - Existence of Positive Solution for a Third-Order BVP with Advanced Arguments and Stieltjes Integral Boundary Conditions, Jian-Ping Sun, Ping Yan, Ya-Hong Zhao, and Fang-Di Kong

Volume 2013 (2013), Article ID 157849, 9 pages - An Efficient Approach for Solving Nonlinear Troesch’s and Bratu’s Problems by Wavelet Analysis Method, A. Kazemi Nasab, Z. Pashazadeh Atabakan, and A. Kılıçman

Volume 2013 (2013), Article ID 825817, 10 pages - A Novel Integral Operator Transform and Its Application to Some FODE and FPDE with Some Kind of Singularities, Abdon Atangana and Adem Kilicman

Volume 2013 (2013), Article ID 531984, 7 pages - Cuttings Transport Models and Experimental Visualization of Underbalanced Horizontal Drilling, Na Wei, YingFeng Meng, Gao Li, LiPing Wan, ZhaoYang Xu, XiaoFeng Xu, and YuRui Zhang

Volume 2013 (2013), Article ID 764782, 6 pages - Application of Lie Symmetry Analysis and Simplest Equation Method for Finding Exact Solutions of Boussinesq Equations, Hossein Jafari, Nematollah Kadkhoda, and Chaudry Massod Khalique

Volume 2013 (2013), Article ID 452576, 4 pages - A New Numerical Method of Particular Solutions for Inhomogeneous Burgers’ Equation, Huantian Xie, Dingfang Li, and Feng Li

Volume 2013 (2013), Article ID 974808, 7 pages - Conservation Laws of Some Physical Models via Symbolic Package GeM, Rehana Naz, Imran Naeem, and M. Danish Khan

Volume 2013 (2013), Article ID 897912, 7 pages - A Novel Method for Analytical Solutions of Fractional Partial Differential Equations, Mehmet Ali Akinlar and Muhammet Kurulay

Volume 2013 (2013), Article ID 195708, 4 pages - Fractional Variational Iteration Method and Its Application to Fractional Partial Differential Equation, Asma Ali Elbeleze, Adem Kılıçman, and Bachok M. Taib

Volume 2013 (2013), Article ID 543848, 10 pages - Conservation Laws for a Generalized Coupled Korteweg-de Vries System, Daniel Mpho Nkwanazana, Ben Muatjetjeja, and Chaudry Masood Khalique

Volume 2013 (2013), Article ID 240797, 5 pages - Exact Explicit Solutions and Conservation Laws for a Coupled Zakharov-Kuznetsov System, Chaudry Masood Khalique

Volume 2013 (2013), Article ID 461327, 5 pages - Image Restoration Combining the Second-Order and Fourth-Order PDEs, Tianhua Liu and Zhaoyin Xiang

Volume 2013 (2013), Article ID 743891, 7 pages - A Comparison between Adomian’s Polynomials and He’s Polynomials for Nonlinear Functional Equations, Hossein Jafari, Saber Ghasempoor, and Chaudry Masood Khalique

Volume 2013 (2013), Article ID 943232, 4 pages - The Rational Third-Kind Chebyshev Pseudospectral Method for the Solution of the Thomas-Fermi Equation over Infinite Interval, Majid Tavassoli Kajani, Adem Kılıçman, and Mohammad Maleki

Volume 2013 (2013), Article ID 537810, 6 pages - Symmetry Methods of Flow and Heat Transfer between Slowly Expanding or Contracting Walls, Gabriel Magalakwe and Chaudry Masood Khalique

Volume 2013 (2013), Article ID 137930, 10 pages - Global Solvability of a Continuous Model for Nonlocal Fragmentation Dynamics in a Moving Medium, S. C. Oukouomi Noutchie and E. F. Doungmo Goufo

Volume 2013 (2013), Article ID 320750, 8 pages - Regions of Positive Vorticity in Steady Axisymmetric Flow Past a Viscous Spherical Drop, G. M. Moremedi and D. P. Mason

Volume 2013 (2013), Article ID 295693, 9 pages - Existence and Continuity of Solutions to a Class of Pseudodifferential Equations over -Adic Field, Bo Wu

Volume 2013 (2013), Article ID 481672, 6 pages - Numerical Solution of Nonlinear Fredholm Integro-Differential Equations Using Spectral Homotopy Analysis Method, Z. Pashazadeh Atabakan, A. Kazemi Nasab, A. Kılıçman, and Zainidin K. Eshkuvatov

Volume 2013 (2013), Article ID 674364, 9 pages - On Approximate Solutions for Fractional Logistic Differential Equation, M. M. Khader and Mohammed M. Babatin

Volume 2013 (2013), Article ID 391901, 7 pages - Shock Wave Solution for a Nonlinear Partial Differential Equation Arising in the Study of a Non-Newtonian Fourth Grade Fluid Model, Taha Aziz, A. Fatima, and F. M. Mahomed

Volume 2013 (2013), Article ID 573170, 5 pages - Homotopy Perturbation Method for Fractional Black-Scholes European Option Pricing Equations Using Sumudu Transform, Asma Ali Elbeleze, Adem Kılıçman, and Bachok M. Taib

Volume 2013 (2013), Article ID 524852, 7 pages - A Numerical Well-Balanced Scheme for One-Dimensional Heat Transfer in Longitudinal Triangular Fins, I. Rusagara and C. Harley

Volume 2013 (2013), Article ID 609536, 9 pages - Propagation of Measurement-While-Drilling Mud Pulse during High Temperature Deep Well Drilling Operations, Hongtao Li, Yingfeng Meng, Gao Li, Na Wei, Jiajie Liu, Xiao Ma, Mubai Duan, Siman Gu, Kuanliang Zhu, and Xiaofeng Xu

Volume 2013 (2013), Article ID 243670, 12 pages - Numerical Investigation of Thin Film Spreading Driven by Surfactant Using Upwind Schemes, E. Momoniat, M. M. Rashidi, and R. S. Herbst

Volume 2013 (2013), Article ID 325132, 8 pages - He’s Max-Min Approach for Coupled Cubic Nonlinear Equations Arising in Packaging System, Jun Wang

Volume 2013 (2013), Article ID 382509, 4 pages - Prandtl's Boundary Layer Equation for Two-Dimensional Flow: Exact Solutions via the Simplest Equation Method, Taha Aziz, A. Fatima, C. M. Khalique, and F. M. Mahomed

Volume 2013 (2013), Article ID 724385, 5 pages - A Collocation Method Based on the Bernoulli Operational Matrix for Solving Nonlinear BVPs Which Arise from the Problems in Calculus of Variation, Emran Tohidi and Adem Kılıçman

Volume 2013 (2013), Article ID 757206, 9 pages - A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order, Abdon Atangana and Adem Kılıçman

Volume 2013 (2013), Article ID 696597, 6 pages - Analytical Solutions of the Space-Time Fractional Derivative of Advection Dispersion Equation, Abdon Atangana and Adem Kilicman

Volume 2013 (2013), Article ID 853127, 9 pages - Comment on “An Approximation to Solution of Space and Time Fractional Telegraph Equations by He's Variational Iteration Method”, Yi-Hong Wang and Lan-Lan Huang

Volume 2013 (2013), Article ID 860914, 2 pages - Lie Group Analysis of a Forced KdV Equation, Motlatsi Molati and Chaudry Masood Khalique

Volume 2013 (2013), Article ID 845843, 4 pages - The Laplace-Adomian-Pade Technique for the ENSO Model, Yi Zeng

Volume 2013 (2013), Article ID 954857, 4 pages