Kasemsuwan, Jaipong

Preferred name

Kasemsuwan, Jaipong

Main Affiliation

School of Science

jaipong.ka@kmitl.ac.th

Now showing 1 - 8 of 8

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Differential transformation method for circular membrane vibrations
(2019-01-01)
Kasemsuwan, Jaipong
;
Sabau, Sorin Vasile
;
Somboon, Uraiwan
The purpose of this research is to present the steps of one-dimensional differential transformation method (DTM) to find the series solutions for the vibrations of a circular membrane under the specified initial and boundary conditions. The problems will be studied in the both cases of vibrations depending only on radius and of the vibrations depending on both radius and angle. We illustrate four examples of problems which the exact solutions can be solve analytically and compare them to the DTM results, to show that the DTM is reliable and of high accuracy. This work shows that the DTM is easier to use than the analytical method from the point of view of programming.
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The cut locus of a Randers rotational 2-sphere of revolution
(2018-01-01)
Hama, Rattanasak
;
Kasemsuwan, Jaipong
;
Sabau, Sorin V.
In the present paper, we study the structure of the cut locus of a Randers rotational 2-sphere of revolution (M, F = α + β). We show that in the case when the Gaussian curvature of the Randers surface is monotone along a meridian, the cut locus of a point q ∈ M is a point on a subarc of the opposite half bending meridian or of the antipodal parallel (Theorem 1.1). More generally, in the case when the Gaussian curvature is not monotone along the meridian, but the cut locus of a point q on the equator is a subarc of the same equator, the cut locus of any point q ∈ M different from poles is a subarc of the antipodal parallel (Theorem 1.2). Some examples are also given in the last section and some differences with the Riemannian case are pointed out.
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New transform formulae for differential transformation method with applications to the nonlinear plane autonomous systems
(2020-01-01)
Somboon, Uraiwan
;
Kasemsuwan, Jaipong
;
Sabau, Sorin V.
This work presents a new derivation technique for new differential transform formulae of a product of composite functions. The new formulae are applied to nonlinear plane autonomous systems to demonstrate their efficiency and reliability. The approximate series solutions estimated by the differential transform method (DTM) and the multistep differential transform method (MsDTM) are then compared with the flow direction of the vector fields defined by the original system and an analytical solution calculated by the phase-plane method. We found that the MsDTM results are in better agreement with the analytical solution than the DTM ones. Moreover, the MsDTM can be applied to systems whose analytical solutions are unobtainable. The approximate solutions by the MsDTM have the same direction to the flow of the vector field of the system. It follows that the proposed new formulae are reliable and efficient.
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Approximate solutions for the nonlinear duffing oscillator with an external force
(2017-03-31)
Kirinin, Jutamas
;
Mahithithummath, Kanokwan
;
Kongsawasdi, Narisara
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Kasemsuwan, Jaipong
This paper is concerned with a finding of an approximate solution to the Duffing oscillator with a linear external force using a modified differential transform method (MDTM) and Runge-Kutta-Nystrom (RKN) method. The results obtained from the two methods are then numerically and graphically compared. We found that both results are close to one another when an amplitude and frequency of external forces are very small. However, both results are quite different when the amplitude and frequency of external forces are large. Their results are in agreement with the phase plane diagram which demonstrates a stable equilibrium point for both methods in case of small amplitude and frequency of external force. However, for large amplitude and frequency of external forces, only MDTM shows the stable equilibrium point.
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Differential transformation method for vibration of membranes
(2019-07-01)
Mansilp, Kamonpad
;
Kasemsuwan, Jaipong
The purpose of this research is to apply the three-dimensional differential transform method to estimate solutions to the equation of motion for vibration in a membrane with certain types of boundary conditions. The analytical solutions without external force or damping under specific initial and boundary conditions are presented. We found by comparison that the analytical solution and the estimated solution are in good agreement, in case there is no damping or external forces. Furthermore, the differential transform method can be used to find approximate solutions taking into account both external forces and damping. This cannot be achieved via an analytical solution.
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Analytical solution to a hydrodynamic model in an open uniform reservoir
(2017-12-01)
Thongtha, Kaboon
;
Kasemsuwan, Jaipong
The hydrodynamic model is used to determine the water wave flow. In this research, a nondimensional form of a two-dimensional hydrodynamic model with generalized boundary condition g(x, t) and initial conditions for describing the elevation of water wave in an open uniform reservoir is proposed. The separation of variables method with mathematical induction is employed to find an analytical solution to the model. An example of flow calculations in an open uniform reservoir is also demonstrated.
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Numerical Simulations of Water Quality Measurement Model in an Opened-Closed Reservoir with Contaminant Removal Mechanism
(2018-01-01)
Thongtha, Kaboon
;
Kasemsuwan, Jaipong
The mathematical simulation of water contaminant measurement is often used to assess the water quality. The monitoring point placement for water quality measurement in an opened-closed reservoir can give accurate or inaccurate assessment. In this research, the mathematical model of the approximated water quality in an opened-closed reservoir with removal mechanism system is proposed. The water quality model consists of the hydrodynamic model and the dispersion model. The hydrodynamic model is used to describe the water current in the opened-closed reservoir. The transient advection-diffusion equation with removal mechanism provides the water pollutant concentration. The water velocity from the hydrodynamic model is plugged into the dispersion model. The finite difference techniques are used to approximate the solution of the water quality model. The proposed numerical simulations give a suitable area of zonal removal mechanism placement. The proposed simulations also give the overall and specified approximated water quality for each point and time when the exit gate is opened on the different periods of time. In addition, the proposed techniques can give a suitable period of time to open the exit gate to achieve a good agreement water quality by using contaminant removal mechanism.
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The theory of geodesics on some surface of revolution
(2017-01-01)
Hama, Rattanasak
;
Kasemsuwan, Jaipong
We study the properties of the geodesics on a Randers rotational surface of revolution by using Zermelo navigation data (hW,), where h is the induced Riemannian metric on the surface of revolution and W is the rotational wind. We are in special interested in the half-period function that can be computed by similar methods to the Riemannian case. Our result can be applied to find the structure of the cut locus of a Randers rotational 2-sphere of revolution.
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Kasemsuwan, Jaipong

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