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A FINITE DIFFERENCE METHOD FOR THE ONE-DIMENSIONAL VARIATIONAL BOUSSINESQ EQUATIONS Suryanto, A.; Groesen, E. van
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.1.57.1-11

The variational Boussinesq equations derived by Klopman et. al. (2005) con-verse mass, momentum and positive-definite energy. Moreover, they were shown to have significantly improved frequency dispersion characteristics, making it suitable for wave simulation from relatively deep to shallow water. In this paper we develop a numerica lcode for the variational Boussinesq equations. This code uses a fourth-order predictor-corrector method for time derivatives and fourth-order finite difference method for the first-order spatial derivatives. The numerical method is validated against experimen-tal data for one-dimensional nonlinear wave transformation problems. Furthermore, the method is used to illustrate the dispersive effects on tsunami-type of wave propagation.DOI :Â http://dx.doi.org/10.22342/jims.14.1.57.1-11

PRIMENESS IN CATEGORY OF MODULES AND CATEGORY OF COMODULES OVER CORINGS Wijayanti, Indah Emilia
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.1.58.13-24

We recall the notion of prie modules and use the analogue technique to define prime comodules and corings. Moreover, the related properties are of interest. We investigate the relation of primeness of C-comodule M and the dual algebra *C of a coring C, the relation to projectivity of a coring in the associated category, the implication of the primeness to the injective hull and product of prime coalgebras.Â DOI :Â http://dx.doi.org/10.22342/jims.14.1.58.13-24

EXTENDED LUCAS TUBE: GRAF HAMILTONIAN BARU ., Ernastuti; Kerami, Djati; Widjaya, Belawati H
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.1.59.25-35

A Hamiltonian cycle in a connected graph G is defined as a closed walk that traverses every vertex of G exactly once, except the starting vertex at which the walk also terminates. If an edge from a Hamiltonian cycle is removed, it forms a path calleda Hamiltonian path. A graph G is called Hamiltonian if there is a Hamiltonian cyclein G. It is known that every hypercube graph is Hamiltonian. But when one or more vertices are removed from a hypercube graph, will it still be Hamiltonian? Some induced subgraphs of a hypercube graph such as the Fibonacci cube (FC), the extended Fibonaccicube (EFC), and the Lucas cube (LC) have been introduced and their Hamiltonicities have been investigated. Research results showed that less than a third of FC graphs are Hamiltonian although all of them have Hamiltonian path. All EFC graphs are Hamiltonian and none of LC graphs is Hamiltonian although some still have Hamiltonian paths.This paper introduces another subgraph of a hypercube graph called the Extended Lucas Cube (ELC). The ELC is shown to be Hamiltonian by using the approach of k-Gray Code and Bipartition Property.DOI :Â http://dx.doi.org/10.22342/jims.14.1.59.25-35

P(I)DE APPROACH FOR INDONESIAN OPTIONS PRICING ., Gunardi
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.1.60.37-45

Jakarta Stock Exchange Indonesia has started to trade Indonesian options at September 9th, 2004. An Indonesian option can be considered as an American style barrier option with immediate (forced) exercise if the price hits or crosses the barrier before maturity. The payoff of the option is based on a moving average of the price of the underlying stock. The barrier is fixed at the strike price plus or minus a 10 percent. The option is automatically exercised when the underlying stock hits or crosses the barrier and the difference between strike and barrier is paid immediately. We will refer to this type of option as an Indonesian option. In this paper we study the pricing of the Indonesian option under Black-Scholes model by PDE approach and under Variance Gamma model by PIDE approach.DOI :http://dx.doi.org/10.22342/jims.14.1.60.37-45

APPLICATIONS OF DIFFERENTIAL SUBORDINATION AND SUPERORDINATION Ganesamoorthy, C.; Marikkannan, N.; Jeyaraman, M. P.
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.1.62.47-56

In the present investigation we obtain asndwich theorems for certain subclass of analytic functions defined by convolution. Our results generalizes several well known results.DOI :Â http://dx.doi.org/10.22342/jims.14.1.62.47-56

SPLINE FINITE DIFFERENCE METHOD FOR A CLASS OF BOUNDARY-VALUE PROBLEMS Khan, I.; Aziz, T.; Khan, A.; El-Sayed, S. M.
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.1.63.57-62

"Pdf file"DOI :Â http://dx.doi.org/10.22342/jims.14.1.63.57-62

A SIMPLE DYNAMICAL MODEL FOR THE GROWTH OF SMOKER POPULATION Gunawan, A. Y.; Nurtamam, M. E.
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.1.82.63-72

In this article, a simple dynamical model derived from the SIR Model that has been known in epidemiology is applied to study qualitatively the growth of smoker population in a closed population system. The population in the system is divided into three groups: potential smokers, active smokers, and quitted smokers. We derive the model by assuming that the quitted smokers can relapse into active smokers. The model consists of three nonlinear and autonomous differential equations, and is then investigated by applying the linear stability theory. We find that the increase of a number of smokers mainly depends on three parameters: how big the interaction between an active smoker and a potential smoker, an average time for being a smoker, and an average time for being a quitted smoker before relapsing into an active smoker. These three parameters are represented by a number R0, so called a threshold condition. For R0 1, we find that the population of active smokers always exists. Results also show that low interaction is enough to increase a number of active smokers.DOI :Â http://dx.doi.org/10.22342/jims.14.1.82.63-72

A FINITE DIFFERENCE METHOD FOR THE ONE-DIMENSIONAL VARIATIONAL BOUSSINESQ EQUATIONS A. Suryanto; E. van Groesen
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.1.57.1-11

The variational Boussinesq equations derived by Klopman et. al. (2005) con-verse mass, momentum and positive-definite energy. Moreover, they were shown to have significantly improved frequency dispersion characteristics, making it suitable for wave simulation from relatively deep to shallow water. In this paper we develop a numerica lcode for the variational Boussinesq equations. This code uses a fourth-order predictor-corrector method for time derivatives and fourth-order finite difference method for the first-order spatial derivatives. The numerical method is validated against experimen-tal data for one-dimensional nonlinear wave transformation problems. Furthermore, the method is used to illustrate the dispersive effects on tsunami-type of wave propagation.DOI : http://dx.doi.org/10.22342/jims.14.1.57.1-11

PRIMENESS IN CATEGORY OF MODULES AND CATEGORY OF COMODULES OVER CORINGS Indah Emilia Wijayanti
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.1.58.13-24

We recall the notion of prie modules and use the analogue technique to define prime comodules and corings. Moreover, the related properties are of interest. We investigate the relation of primeness of C-comodule M and the dual algebra *C of a coring C, the relation to projectivity of a coring in the associated category, the implication of the primeness to the injective hull and product of prime coalgebras. DOI : http://dx.doi.org/10.22342/jims.14.1.58.13-24

EXTENDED LUCAS TUBE: GRAF HAMILTONIAN BARU Ernastuti .; Djati Kerami; Belawati H Widjaya
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.1.59.25-35

A Hamiltonian cycle in a connected graph G is defined as a closed walk that traverses every vertex of G exactly once, except the starting vertex at which the walk also terminates. If an edge from a Hamiltonian cycle is removed, it forms a path calleda Hamiltonian path. A graph G is called Hamiltonian if there is a Hamiltonian cyclein G. It is known that every hypercube graph is Hamiltonian. But when one or more vertices are removed from a hypercube graph, will it still be Hamiltonian? Some induced subgraphs of a hypercube graph such as the Fibonacci cube (FC), the extended Fibonaccicube (EFC), and the Lucas cube (LC) have been introduced and their Hamiltonicities have been investigated. Research results showed that less than a third of FC graphs are Hamiltonian although all of them have Hamiltonian path. All EFC graphs are Hamiltonian and none of LC graphs is Hamiltonian although some still have Hamiltonian paths.This paper introduces another subgraph of a hypercube graph called the Extended Lucas Cube (ELC). The ELC is shown to be Hamiltonian by using the approach of k-Gray Code and Bipartition Property.DOI : http://dx.doi.org/10.22342/jims.14.1.59.25-35

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Location Kota bandung, Jawa barat INDONESIA

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Contact Name
-

Contact Email
-

Phone
-

Journal Mail Official
-

Editorial Address
-

Location
Kota bandung,

Jawa barat

INDONESIA