The paper of M. A. Khan et al. studies continuous nonlinear economic dynamics with a continuous delay. Review articles are excluded from this waiver policy. In such cases, it is more effective in applying some split numerical schemes to approximate the systems. IJNAM welcomes contribution of original developments of numerical methods and analysis leading to better understanding of the existing algorithms. International Journal of Numerical Analysis & Modeling (IJNAM) is directed to the broad spectrum of researchers in scientific computing, and publishes high quality papers in all fields of numerical analysis and mathematical modeling. 10.4236/am.2012.311225 10.4236/jamp.2016.48159   4,547 Downloads  6,662 Views  Citations, A New Class of Vector Padé Approximants in the Asymptotic Numerical Method: Application in Nonlinear 2D Elasticity (Articles), Abdellah Hamdaoui, Rachida Hihi, Bouazza Braikat, Noureddine Tounsi, Noureddine Damil, World Journal of Mechanics studies the existence and uniqueness of weak solutions for the nonlinear parabolic equations and then presents a linearized finite element Galerkin method to numerically solve the model equations. About the journal.   3,997 Downloads  4,970 Views  Citations A. The solution of this problem exhibits layer or oscillatory behaviour depending on the sign of the sum of coefficients in reaction terms. Vol.7 No.8,August 17, 2017, DOI: The authors declare that they have no conflicts of interest.   699 Downloads  1,184 Views  Citations, Numerical Study of Natural Convection in a Porous Square Enclosure with Sinusoidally Varying Temperature Profile on the Bottom Wall (Articles), Alhadj Hisseine Issaka Ali, Samba Dia, Mahamoud Y. Khayal, Cheikh Mbow, Aboubaker Chedikh Beye, Open Journal of Fluid Dynamics International Journal for Numerical Methods in Biomedical Engineering supports Engineering Reports, a new Wiley Open Access journal dedicated to all areas of engineering and computer science.. With a broad scope, the journal is meant to provide a unified and reputable outlet for rigorously peer-reviewed and well-conducted scientific research.See the full Aims & Scope here. The paper of F. Wu et al. Several examples are presented at last to confirm the theoretical results. Vol.5 No.9,October 16, 2017, DOI: The paper by H. Qin et al. Vol.2 No.11,November 30, 2010, DOI:   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. Both general cases of liquid-fluid-solid and liquid-liquid-fluid contact lines are included. (Articles), Natural Science Therefore, it is highly desirable to develop effective and efficient numerical schemes and their numerical analysis for nonlinear differential equations. In addition, the delay term can justify the bifurcation of an economic model of the stationary growth towards cyclic growth. 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. The construction and analysis of numerical schemes for nonlinear differential equations are very important. 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. Register, Oxford University Press is a department of the University of Oxford. This article belongs to the Special Issue on 10.4236/wjm.2014.42006 Sensitivity of resonance frequency in the detection of thin layer using nano-slit structures, A stacked frequency approach for inhomogeneous time-dependent MRE: an inverse problem for the elastic shear modulus, An analysis of the periodically forced PP04 climate model, using the theory of non-smooth dynamical systems, Convective and absolute instability of falling viscoelastic liquid jets surrounded by a gas, A new solution approach to the Serre equations, About the Institute of Mathematics and its Applications, Receive exclusive offers and updates from Oxford Academic, Copyright © 2020 Institute of Mathematics and its Applications.   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 10.4236/ojfd.2017.73017 The paper by A. F. Nindjin et al. 10.4236/am.2014.510138 Copyright © 2019 Dongfang Li et al. Vol.3 No.8,August 26, 2015, DOI: We are grateful to all the authors who have made a contribution to this special issue. Recent Advances in Numerical Methods and Analysis for Nonlinear Differential Equations View this Special Issue.   3,877 Downloads  4,690 Views  Citations, Numerical Quadratures Using the Interpolation Method of Hurwitz-Radon Matrices (Articles), Advances in Linear Algebra & Matrix Theory   4,932 Downloads  10,540 Views  Citations, Numerical Solution of Troesch’s Problem by Sinc-Collocation Method (Articles), Applied Mathematics 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. For full access to this pdf, sign in to an existing account, or purchase an annual subscription. ABSTRACT This paper presents a numerical method to solve singularly perturbed delay differential equations. Tauchen , G. ( 1986 ) Finite state markov-chain approximations to univariate and vector autoregressions , … 10.4236/apm.2015.511061 Vol.5 No.11,September 7, 2015, DOI: Vol.9 No.11,November 13, 2018, DOI: Sefton, J.   3,434 Downloads  4,019 Views  Citations, Numerical Simulation of Freak Wave Generation in Irregular Wave Train (Articles), Journal of Applied Mathematics and Physics Dongfang Li, Jinming Wen, Jiwei Zhang, "Recent Advances in Numerical Methods and Analysis for Nonlinear Differential Equations", International Journal of Differential Equations, vol.   213 Downloads  363 Views  Citations, Numerical Simulation for Fredholm Integral Equation of the Second Kind (Articles), Journal of Applied Mathematics and Physics This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.   697 Downloads  1,290 Views  Citations. Vol.4 No.2,June 16, 2014, DOI: is concerned with the analysis of the two fully discrete numerical schemes for solving delay reaction-diffusion equation. Sign up here as a reviewer to help fast-track new submissions. Find out more Vol.4 No.2,February 18, 2014, DOI: A Study on Numerical Calculation Method of Small Cluster Density in Percolation Model 10.4236/am.2013.44098 Vol.4 No.7,July 6, 2017, DOI:   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 We are committed to sharing findings related to COVID-19 as quickly as possible. To purchase short term access, please sign in to your Oxford Academic account above. 10.4236/jamp.2015.33047 This paper describes, develops and compares several viable methods for the numerical solution of one (space) dimensional, moving boundary (Stefan) problems.

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