The paper by A. F. Nindjin et al. Vol.3 No.11，November 20, 2012, DOI: This article belongs to the Special Issue on, Sinc-Collocation Method for Solving Linear and Nonlinear System of Second-Order Boundary Value Problems, A Study on Numerical Calculation Method of Small Cluster Density in Percolation Model, Bifurcations and Chaos in the Duffing Equation with One Degenerate Saddle Point and Single External Forcing, Quadrature Rules for Functions with a Mid-Point Logarithmic Singularity in the Boundary Element Method Based on the, Numerical Simulation for Fredholm Integral Equation of the Second Kind, New Ninth Order J-Halley Method for Solving Nonlinear Equations, Determining the Critical Depth of Excavation and Investigating the Effect of Fault on the Resistance of Tehran Alluvial, A Computational Study with Finite Difference Methods for Second Order Quasilinear Hyperbolic Partial Differential Equations in Two Independent Variables. Vol.7 No.3，September 7, 2017, DOI: 10.4236/am.2013.412233 (2000) A solution method for consumption decisions in a dynamic stochastic general equilibrium model, Journal of Economic Dynamics and Control 24, 1097 – 1119. Vol.2 No.11，November 30, 2010, DOI: 10.4236/jamp.2020.811180 Recent Advances in Numerical Methods and Analysis for Nonlinear Differential Equations View this Special Issue. 10.4236/am.2012.311225 Vol.9 No.4，December 16, 2019, DOI: We are committed to sharing findings related to COVID-19 as quickly as possible. 10.4236/ajcm.2019.94021 679 Downloads 969 Views Citations, A Computational Study with Finite Difference Methods for Second Order Quasilinear Hyperbolic Partial Differential Equations in Two Independent Variables (Articles), Pavlos Stampolidis, Maria Ch. Sign up here as a reviewer to help fast-track new submissions. 10.4236/ajcm.2014.42005 The decay property of solutions is confirmed by the numerical results. This article is also available for rental through DeepDyve. The paper authored by J. H. Al-Smail et al. The methods are examined for computational efficiency and accuracy, programming complexity and ease of generalization to more than one (space) dimension, complicated moving boundary conditions, rapidly-moving boundaries and nonlinear governing equations or fixed boundary conditions. Vol.3 No.8，August 26, 2015, DOI: Solvability and convergence of the fully discrete numerical schemes are studied. Both general cases of liquid-fluid-solid and liquid-liquid-fluid contact lines are included. Vol.3 No.3，March 30, 2015, DOI: Vol.5 No.10，June 3, 2014, DOI: Vol.5 No.11，September 7, 2015, DOI: The paper of F. Wu et al. Several examples are presented at last to confirm the theoretical results. 2019, Article ID 3243510, 1 page, 2019. https://doi.org/10.1155/2019/3243510, 1School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China, 2Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON M5S3G4, Canada, 3Beijing Computational Science Research Center, Beijing 100193, China. Gousidou-Koutita, Applied Mathematics (2013b, 2015) for some model problems. 10.4236/am.2013.44098 Tauchen , G. ( 1986 ) Finite state markov-chain approximations to univariate and vector autoregressions , … Find out more 10.4236/ns.2010.211146 Don't already have an Oxford Academic account? IJNAM welcomes contribution of original developments of numerical methods and analysis leading to better understanding of the existing algorithms. If you originally registered with a username please use that to sign in. 2,980 Downloads 3,384 Views Citations, Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind (Articles), Advances in Pure Mathematics Besides, asymptotical stability of the fully discrete schemes is investigated extensively. Sefton, J. R. M. FURZELAND, A Comparative Study of Numerical Methods for Moving Boundary Problems, IMA Journal of Applied Mathematics, Volume 26, Issue 4, December 1980, Pages 411–429, https://doi.org/10.1093/imamat/26.4.411. Copyright © 2019 Dongfang Li et al. 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(Articles), Natural Science Vol.4 No.8，August 15, 2016, DOI: 10.4236/am.2014.510138 Vol.8 No.10，September 30, 2018, DOI: Vol.4 No.2，March 20, 2014, DOI: 3,997 Downloads 4,970 Views Citations 10.4236/wjm.2014.42006 5,756 Downloads 8,970 Views Citations, A Study on Numerical Calculation Method of Small Cluster Density in Percolation Model (Articles), Journal of Applied Mathematics and Physics Review articles are excluded from this waiver policy. It furthers the University's objective of excellence in research, scholarship, and education by publishing worldwide, This PDF is available to Subscribers Only. Integral Equations Research, Laplace Inverse Transform for Functions of Type nth Root of a Product of Linear Factors (Articles), Open Access Library Journal An Academic Publisher, Sinc-Collocation Method for Solving Linear and Nonlinear System of Second-Order Boundary Value Problems (Articles), Applied Mathematics presents an approximate solution for some well-known linear and nonlinear two-point boundary value problems by using the optimal homotopy asymptotic method. A. 3,877 Downloads 4,690 Views Citations, Numerical Quadratures Using the Interpolation Method of Hurwitz-Radon Matrices (Articles), Advances in Linear Algebra & Matrix Theory We are grateful to all the authors who have made a contribution to this special issue. 21 Downloads 85 Views Citations, New Ninth Order J-Halley Method for Solving Nonlinear Equations (Articles), Farooq Ahmad, Sajjad Hussain, Sifat Hussain, Arif Rafiq, Applied Mathematics Therefore, it is highly desirable to develop effective and efficient numerical schemes and their numerical analysis for nonlinear differential equations. A well-designed numerical scheme not only may save computational costs for long-time simulations in the real-world problems, but also can give a better performance in the prediction of the mathematical models.