• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.20 no.1
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• pp.51-82
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• 2016

In view of ideas for semigroups, fractional calculus, resolvent operator and Banach contraction principle, this manuscript is generally included with existence and controllability (EaC) results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. Finally, an examples are also provided to illustrate the theoretical results.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.4 no.1
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• pp.29-38
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• 2000

In this paper, we consider a criterion on primitive roots modulo p where p is the prime of the form $p=2^kq+1$, q odd prime. For such p we also consider the least primitive root modulo p. Also, we deal with certain isomorphism classes of elliptic curves over finite fields.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.4 no.1
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• pp.11-22
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• 2000

Nonhysteretic infiltration in nonswelling soil is modelled by the Burgers equation under appropriate physical conditions. For this nonlinear partial differential equation the modal approximation scheme is used for estimating parameters such as soil water diffusivity and hydraulic conductivity. The parameter estimation convergence is proved, and numerical experiments are performed.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.8 no.1
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• pp.93-102
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• 2004

A model of three trophic level food chain with ratio dependence is considered. The existencem uniqueness and stability of its solutions are investigated.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.8 no.1
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• pp.31-40
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• 2004

In this paper we point out an approximation for the Fourier transform for functions of bounded variation and study the approximation error of certain associated quadrature rules.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.17 no.1
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• pp.29-45
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• 2013

Central schemes offer a simple and versatile approach for computing approximate solutions of nonlinear systems of hyperbolic conservation laws. However, there are large numerical dissipation in case of contact discontinuity. We study semi-discrete central upwind scheme by changing flux functions to reduce the numerical dissipation and we perform numerical computations for various problems in case of contact discontinuity.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.17 no.1
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• pp.17-28
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• 2013

In this paper, we study the global existence of solutions for the initial value problems for Volterra-Fredholm type functional impulsive integrodifferential equations. Using the Leray-Schauder Alternative, we derive conditions under which a solution exists globally.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.4 no.2
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• pp.111-133
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• 2000

A Legendre spectral tau approximation scheme for solving the two-dimensional stationary incompressible Stokes equations is considered. Based on the vorticity-stream function formulation and variational forms, boundary value and normal derivative of vorticity are computed. A factorization technique for matrix stems based on the Schur decomposition is derived. Several numerical experiments are performed.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.4 no.2
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• pp.21-32
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• 2000

We study theoretical aspects of one-dimensional cellular automata over GF(q), where q is a power of a prime. Some results about the characteristic polynomials of such cellular automata are given. Intermediate boundary cellular automata are defined and related to the more common null boundary cellular automata.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.25 no.3
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• pp.132-148
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• 2021

The modified F-expansion method is used to construct analytical solutions of the foam drainage equation with time- and space-fractional derivatives. The conformable derivatives are considered as spacial and temporal ones. As a result, some analytical exact solutions including kink, bright-dark soliton, periodic and rational solutions are obtained.