Dear colleagues and researchers,
The Journal of the Korean Society for Industrial and Applied Mathematics (J-KSIAM) Volume 21 Number 1
(March 2017 issue) has been posed on http://www.ksiam.org/archive/ Aims and scope or other information
on the journal is available on the KSIAM website http://www.ksiam.org or http://www.ksiam.org/jksiam/.
The journal is one of Korea Citation Indexed (KCI) journals since 2007. Readers interested in the following
articles may download each of articles free of charge from our website and authors are encouraged to submit
a paper via the online submission site http://www.ksiam.org/jksiam/.
Jin Keun Seo, Editor-in-Chief
Zhiming Chen, June-Yub Lee, Tao Tang, Associate Editors-In-Chief
Jin Yeon Cho, Sung-Ik Sohn, Managing Editors
Higher Order Operator Splitting Fourier Spectral Methods for the Allen-Cahn Equation
Jaemin Shin, Hyun Geun Lee, June-Yub Lee
The Allen-Cahn equation is solved numerically by operator splitting Fourier spectral methods. The basic idea of
the operator splitting method is to decompose the original problem into sub-equations and compose the approximate
solution of the original equation using the solutions of the subproblems. The purpose of this paper is to
characterize higher order operator splitting schemes and propose several higher order methods. Unlike the first
and the second order methods, each of the heat and the free-energy evolution operators has at least one backward
evaluation in higher order methods. We investigate the effect of negative time steps on a general form of third
order schemes and suggest three third order methods for better stability and accuracy. Two fourth order methods
are also presented. The traveling wave solution and a spinodal decomposition problem are used to demonstrate
numerical properties and the order of convergence of the proposed methods.
The Combined Modified Laplace with Adomian Decomposition Method for Solving the Nonlinear Volterra-Fredholm
Integro Differential Equations
Ahmed A. Hamoud, Kirtiwant P. Ghadle
A combined form of the modified Laplace Adomian decomposition method (LADM) is developed for the analytic treatment
of the nonlinear Volterra-Fredholm integro differential equations. This method is effectively used to handle nonlinear
integro differential equations of the first and the second kind. Finally, some examples will be examined to support
the proposed analysis.
Optimal Inversion of the Noisy Radon Transform on Classes Defined by a Degree of the Laplace Operator
A general optimal recovery problem is to approximate a value of a linear operator on a subset (class) in linear space
from a value of another linear operator (called information), measured with an error in given metric. We use this
formulation to investigate the classical computerized tomography problem of inversion of the noisy Radon transform.
Soret and Chemical Reaction Effects on the Radiative MHD Flow from an Infinite Vertival Porous Plate
Venkateswarlu Malapati, Venkata Lakshmi Dasari
In this present article, we analyzed the heat and mass transfer characteristics of the nonlinear unsteady radiative
MHD flow of a viscous, incompressible and electrically conducting fluid past an infinite vertical porous plate under the
influence of Soret and chemical reaction effects. The effect of physical parameters are accounted for two distinct types of
thermal boundary conditions namely prescribed uniform wall temperature thermal boundary condition and prescribed heat flux
thermal boundary condition. Based on the flow nature, the dimensionless flow governing equations are resolved to harmonic
and non harmonic parts. In particular skin friction coefficient, Nusselt number and Sherwood number are found to evolve
into their steady state case in the large time limit. Parametric study of the solutions are conducted and discussed.