Liu, F. Turner, I. Anh, V.
Published in
Korean Journal of Computational & Applied Mathematics

In this paper, a two-dimensional finite volume unstructured mesh method (FVUM) based on a triangular background interpolation mesh is developed for analysing the evolution of the saltwater intrusion into single and multiple coastal aquifer systems. The model formulation consists of a ground-water flow equation and a salt transport equation. These c...

El-Sayed, Ahmed M. A. Aly, Mohamed A. E.
Published in
Korean Journal of Computational & Applied Mathematics

The fractional order evolutionary integral equations have been considered by the first author in [6], the existence, uniqueness and some other properties of the solution have been proved. Here we study the continuation of the solution and its fractional order derivative. Also we study the generality of this problem and prove that the fractional ord...

Darafsheh, M. R. Karamzadeh, N. S.
Published in
Korean Journal of Computational & Applied Mathematics

Let G be a finite group and ω(G) the set of element orders ofG. Denote byh(ω(G)) the number of isomorphism classes of finite groupsH satisfying ω(G) = ω(H). In this paper, we show that forG =PSL(3,q),h(ω(G)) = 1 whereq = 11,13,19, 23, 25 and 27 andh(ω(G) = 2 whereq = 17 and 29.

Stanimirović, Predrag S. Tasić, Milan B.
Published in
Korean Journal of Computational & Applied Mathematics

We investigate implementation of the determinantal representation of generalized inverses for complex and rational matrices in the symbolic package MATHEMATICA. We also introduce an implementation which is applicable to sparse matrices.

Kim, Ju Hong
Published in
Korean Journal of Computational & Applied Mathematics

In this paper we formulate the linear theory for compressible fluids in cylindrical geometry with small perturbation at the material interface. We derive the first order equations in the smooth regions, boundary conditions at the shock fronts and the contact interface by linearizing the Euler equations and Rankine-Hugoniot conditions. The small amp...

Park, Jung-Ho Park, Yoon-Young Choi, Sung-Hee
Published in
Korean Journal of Computational & Applied Mathematics

In this paper, we consider the updating problems to reconstruct the biconnected-components and to reconstruct the weighted shortest path in response to the topology change of the network. We propose two distributed algorithms. The first algorithm solves the updating problem that reconstructs the biconnected-components after the several processors a...

AliAbadi, M. Hosseini Shahmorad, S.
Published in
Korean Journal of Computational & Applied Mathematics

In this paper we obtain the matrix Tau Method representation of a general boundary value problem for Fredholm and Volterra integro-differential equations of orderv. Some theoretical results are given that simplify the application of the Tau Method. The application of the Tau Method to the numerical solution of such problems is shown. Numerical resu...

Shim, Hong-Tae Jung, Kap Hun
Published in
Korean Journal of Computational & Applied Mathematics

The Gibbs’ phenomenon in the classical Fourier series is well-known. It is closely related with the kernel of the partial sum of the series. In fact, the Dirichlet kernel of the Fourier series is not positive. The poisson kernel of Cesaro summability is positive. As the consequence of the positiveness, the partial sum of Cesaro summability does not...

Basirzadeh, H. Kamyad, A. V. Effati, S.
Published in
Korean Journal of Computational & Applied Mathematics

In this paper we use measure theory to solve a wide range of the nonlinear programming problems. First, we transform a nonlinear programming problem to a classical optimal control problem with no restriction on states and controls. The new problem is modified into one consisting of the minimization of a special linear functional over a set of Radon...

Park, Chin-Hong
Published in
Korean Journal of Computational & Applied Mathematics

In this paper we shall introduce the algebraic structure of a tensor product for arbitrarily given automata, giving a defintion of the tensor product for automata. We introduce and study that for any setX there always exists a free automaton onX. The existence of a tensor product for automata will be investigated in the same way like modules do.