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/.

Sincerely yours,

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

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JKSIAM-v21n1 pp001-016

Higher Order Operator Splitting Fourier Spectral Methods for the Allen-Cahn Equation

Jaemin Shin, Hyun Geun Lee, June-Yub Lee

http://www.ksiam.org/archive/files/jksiam-2017v21p001.pdf

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.

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JKSIAM-v21n1 pp017-028

The Combined Modified Laplace with Adomian Decomposition Method for Solving the Nonlinear Volterra-Fredholm

Integro Differential Equations

Ahmed A. Hamoud, Kirtiwant P. Ghadle

http://www.ksiam.org/archive/files/jksiam-2017v21p017.pdf

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.

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JKSIAM-v21n1 pp029-037

Optimal Inversion of the Noisy Radon Transform on Classes Defined by a Degree of the Laplace Operator

Tigran Bagramyan

http://www.ksiam.org/archive/files/jksiam-2017v21p029.pdf

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.

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JKSIAM-v21n1 pp039-061

Soret and Chemical Reaction Effects on the Radiative MHD Flow from an Infinite Vertival Porous Plate

Venkateswarlu Malapati, Venkata Lakshmi Dasari

http://www.ksiam.org/archive/files/jksiam-2017v21p039.pdf

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.

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