You could not be signed in. A Study on Numerical Calculation Method of Small Cluster Density in Percolation Model The paper of M. A. Khan et al. Search for other works by this author on: You do not currently have access to this article. 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. This article is also available for rental through DeepDyve. The decay property of solutions is confirmed by the numerical results. 10.4236/alamt.2014.42008 10.4236/ajcm.2014.42005 We are committed to sharing findings related to COVID-19 as quickly as possible. A. Numerical results are provided to show the effectiveness and reliability of the proposed method, and some comparisons are also given to show the advantages of the methods. 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.   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 Besides, asymptotical stability of the fully discrete schemes is investigated extensively. Applied Mathematics Vol.3 No.11,November 20, 2012 DOI: 10.4236/am.2012.311225 5,754 Downloads 8,965 Views Citations.   2,810 Downloads  3,899 Views  Citations, Subdomain Chebyshev Spectral Method for 2D and 3D Numerical Differentiations in a Curved Coordinate System (Articles), Bing Zhou, Graham Heinson, Aixa Rivera-Rios, Journal of Applied Mathematics and Physics Don't already have an Oxford Academic account? presents an approximate solution for some well-known linear and nonlinear two-point boundary value problems by using the optimal homotopy asymptotic method. This paper describes, develops and compares several viable methods for the numerical solution of one (space) dimensional, moving boundary (Stefan) problems. Gousidou-Koutita, 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.   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   3,997 Downloads  4,970 Views  Citations The paper authored by J. H. Al-Smail et al.   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 Vol.4 No.2,March 20, 2014, DOI: Don't already have an Oxford Academic account? 10.4236/jamp.2016.48159 10.4236/ajcm.2019.94021 10.4236/apm.2015.511061   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 Dongfang Li, Jinming Wen, Jiwei Zhang, "Recent Advances in Numerical Methods and Analysis for Nonlinear Differential Equations", International Journal of Differential Equations, vol. 10.4236/ojfd.2017.73017 10.4236/ojg.2018.810062 studies continuous nonlinear economic dynamics with a continuous delay. is concerned with the analysis of the two fully discrete numerical schemes for solving delay reaction-diffusion equation. We are grateful to all the authors who have made a contribution to this special issue.   4,932 Downloads  10,540 Views  Citations, Numerical Solution of Troesch’s Problem by Sinc-Collocation Method (Articles), Applied Mathematics The method could also be considered as a mathematical tool for free-surface hydrodynamics and interface science. 10.4236/am.2013.44098 The stability and convergence of the proposed method have been established. The construction and analysis of numerical schemes for nonlinear differential equations are very important. 10.4236/wjm.2014.42006 For full access to this pdf, sign in to an existing account, or purchase an annual subscription. 10.4236/am.2013.412233