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.   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 Therefore, it is highly desirable to develop effective and efficient numerical schemes and their numerical analysis for nonlinear differential equations.   3,845 Downloads  5,162 Views  Citations, Numerical solutions of second order initial value problems of Bratu-type via optimal homotopy asymptotic method (Articles), Mohamed Abdalla Darwish, Bothayna S. Kashkari, American Journal of Computational Mathematics 10.4236/am.2012.311225 Is it plausible to expect a close encounter of the Earth with a yet undiscovered astronomical object in the next few years? Several examples are presented at last to confirm the theoretical results. We are committed to sharing findings related to COVID-19 as quickly as possible. An Academic Publisher, Sinc-Collocation Method for Solving Linear and Nonlinear System of Second-Order Boundary Value Problems (Articles), Applied Mathematics The construction and analysis of numerical schemes for nonlinear differential equations are very important. Numerical Solution of Troesch’s Problem by Sinc-Collocation Method, A New Class of Vector Padé Approximants in the Asymptotic Numerical Method: Application in Nonlinear 2D Elasticity, Numerical solutions of second order initial value problems of Bratu-type via optimal homotopy asymptotic method, A New Modification of the Method of Lines for First Order Hyperbolic PDEs, Numerical Quadratures Using the Interpolation Method of Hurwitz-Radon Matrices, Subdomain Chebyshev Spectral Method for 2D and 3D Numerical Differentiations in a Curved Coordinate System, Numerical Simulation of Freak Wave Generation in Irregular Wave Train, Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind, Laplace Inverse Transform for Functions of Type, The Role of Faults on Tehran Alluvial and Its Impact on Resistance of Alluvial, Numerical Study of Natural Convection in a Porous Square Enclosure with Sinusoidally Varying Temperature Profile on the Bottom Wall.   697 Downloads  1,290 Views  Citations.   3,434 Downloads  4,019 Views  Citations, Numerical Simulation of Freak Wave Generation in Irregular Wave Train (Articles), Journal of Applied Mathematics and Physics In such cases, it is more effective in applying some split numerical schemes to approximate the systems. This article belongs to the Special Issue on Mohamed El-Gamel. 10.4236/am.2013.44098 You could not be signed in. Solvability and convergence of the fully discrete numerical schemes are studied. studies continuous nonlinear economic dynamics with a continuous delay. The paper authored by J. H. Al-Smail et al. The given results imply that if the additive Runge-Kutta methods are algebraically stable, the perturbations of the numerical solutions are controlled by the initial perturbations from the system and the methods.   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 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. 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. (Articles), Natural Science Vol.4 No.4，April 30, 2013, DOI: Vol.4 No.12，December 5, 2013, DOI: Vol.9 No.4，December 16, 2019, DOI: It is shown that the model is bounded and admits an attractor unit (set). presents an approximate solution for some well-known linear and nonlinear two-point boundary value problems by using the optimal homotopy asymptotic method. Sinc-Collocation Method for Solving Linear and Nonlinear System of Second-Order Boundary Value Problems.   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 Vol.8 No.10，September 30, 2018, DOI: This paper describes, develops and compares several viable methods for the numerical solution of one (space) dimensional, moving boundary (Stefan) pro We use cookies to enhance your experience on our website.By continuing to use our website, you are agreeing to our use of cookies. A numerical method is presented for computational modelling of viscous monophase and multiphase flows in presence of dynamic contact lines.   1,413 Downloads  1,894 Views  Citations, Is it plausible to expect a close encounter of the Earth with a yet undiscovered astronomical object in the next few years? 10.4236/oalib.1103741 If you originally registered with a username please use that to sign in.   1,415 Downloads  1,883 Views  Citations, Bifurcations and Chaos in the Duffing Equation with One Degenerate Saddle Point and Single External Forcing (Articles), Journal of Applied Mathematics and Physics   488 Downloads  1,293 Views  Citations, The Role of Faults on Tehran Alluvial and Its Impact on Resistance of Alluvial (Articles), Open Journal of Geology Copyright © 2006-2020 Scientific Research Publishing Inc. All Rights Reserved.   619 Downloads  1,055 Views  Citations, Quadrature Rules for Functions with a Mid-Point Logarithmic Singularity in the Boundary Element Method Based on the x = tp Substitution (Articles), Stephen M. Kirkup, Javad Yazdani, George Papazafeiropoulos, American Journal of Computational Mathematics ... Jiwei Zhang, " Recent Advances in Numerical Methods and Analysis for Nonlinear Differential Equations ", International Journal of Differential Equations, vol. The method could also be considered as a mathematical tool for free-surface hydrodynamics and interface science. Vol.4 No.2，June 16, 2014, DOI: 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. 10.4236/am.2018.911079 Don't already have an Oxford Academic account? Dongfang Li, Jinming Wen, Jiwei Zhang, "Recent Advances in Numerical Methods and Analysis for Nonlinear Differential Equations", International Journal of Differential Equations, vol.   4,434 Downloads  6,490 Views  Citations, Determining the Critical Depth of Excavation and Investigating the Effect of Fault on the Resistance of Tehran Alluvial (Articles), Omid Asadzadeh Saghavaz, Manouchehr Ghorashi, Mohsen Pourkermani, Open Journal of Geology Sign up here as a reviewer to help fast-track new submissions. deals with the stability analysis of additive Runge-Kutta methods for delay-integrodifferential equations arising from some spatially discretized time-dependent partial differential equations. 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. 10.4236/jamp.2015.33047 Recent Advances in Numerical Methods and Analysis for Nonlinear Differential Equations View this Special Issue. 10.4236/ojfd.2017.73017 In addition, the delay term can justify the bifurcation of an economic model of the stationary growth towards cyclic growth. A fourth order finite difference scheme on a uniform mesh is developed.

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