Sanoe Koonprasert

• King Mongkut's University of Technology North Bangkok

The Benney-Luke equation has contributed to studying the propagation of the water wave surfaces. This paper illustrates the (G'/G,1/G)-method to obtain the solutions of the Benney-Luke equation and an extension of the Benney-Luke equation. The new types of solutions are also constructed to gather the performance and visualization in three dimension...

Transformations have successfully outperformed a significant role in solving differential equations and have been applied in large-scale aspects of science. Fareeha transform has been illustrated effectively in data compression based on containing more information of the transform. In this paper, we expand the fractional Fareeha transform in the Ca...

The development of technology has supported effective tools in industrial machines and set up the remarkable phase that serves well-being such as kinetic energy, kinetic movement, and nuclear energy. Applied mathematics has also contributed valuable procedures in various fields of these sciences, especially the creation of transformation. With prac...

Transformations have successfully outperformed a significant role in solving differential equations and have been applied in large-scale aspects of science. Fareeha transform has been illustrated effectively in data compression based on containing more information of the transform. In this paper, we expand the fractional Fareeha transform in the Ca...

In recent years, many new definitions of fractional derivatives have been proposed and used to develop mathematical models for a wide variety of real-world systems containing memory, history, or nonlocal effects. The main purpose of the present paper is to develop and analyze a Caputo–Fabrizio fractional derivative model for the HIV/AIDS epidemic w...

The development of technology has supported effective tools in industrial machines and set up the remarkable phase that serves well-being such as kinetic energy, kinetic movement, and nuclear energy. Applied mathematics has also contributed valuable procedures in various fields of these sciences, especially the creation of transformation. With prac...

In this research, we study a (3+1)-dimensional chiral nonlinear Schrödinger equation (CNLSE) and find its exact traveling wave solutions via the extended simplest equation method (ESEM) and the improved generalized tanh-coth method (IGTCM). The exact solutions of the CNSLE are complex-valued functions that can be expressed in terms of exponential,...

In this research, we study mathematical predator-prey models for brown planthopper (BPH) infestation of rice under the effects of habitat complexity and monsoon for two time scales. Using a fast time scale, we obtain a complete model which is a system of first-order differential equations including logistic growth terms, modified Holling type II fu...

The main purpose of this article is to use the (G′/G, 1/G)-expansion method to derive exact traveling wave solutions of the paraxial wave dynamical model in Kerr media in the sense of the truncated M-fractional derivative. To the best of the authors’ knowledge, the solutions of the model obtained using the expansion method are reported here for the...

The core objective of this article is to generate novel exact traveling wave solutions of two nonlinear conformable evolution equations, namely, the (2+1)-dimensional conformable time integro-differential Sawada–Kotera (SK) equation and the (3+1)-dimensional conformable time modified KdV–Zakharov–Kuznetsov (mKdV–ZK) equation using the (G′/G2)-expan...

Porcine reproductive and respiratory syndrome virus (PRRSV) causes reproductive failure in sows and respiratory disease in piglets and growing pigs. The disease rapidly spreads in swine populations, making it a serious problem causing great financial losses to the swine industry. However, past mathematical models used to describe the spread of the...

The aim of the present work is to compute the magnetohydrodynamic (MHD) squeezing flow through porous medium using Chebyshev wavelet method. Other analytical techniques are compared with the present work. It is shown that results of good agreement can be obtained by choosing a suitable value of convergence control parameter h in the valid region Rh...

Abstract In many areas, researchers might think that a differential equation model is required, but one might be forced to use an approximate difference equation model if data is only available at discrete points in time. In this paper, a detailed comparison is given of the behavior of continuous and discrete models for two representative time-dela...

The major purpose of this article is to seek for exact traveling wave solutions of the nonlinear space-time Sharma–Tasso–Olver equation in the sense of conformable derivatives. The novel ( G ′ G ) -expansion method and the generalized Kudryashov method, which are analytical, powerful, and reliable methods, are used to solve the equation via a fract...

In this paper, the modified simple equation method is used to obtain exact solutions of the space-time (1+1) and (2+1)-dimensional chiral nonlinear Schr ̈odinger’s equations in the sense of the conformable derivative. As a consequence, these obtained solutions with their constraint conditions can be useful to explain some physical phenomena such as...

In this paper, we focus on solving a non-local problem for a differential equation, which contains the fractional Poisson process involving conformable fractional calculus. We apply an improved homotopy perturbation method which is efficient and powerful in solving widely fractional order equations to solve a solution of fractional Poisson process.

The main objectives of this work are present a new Chebyshev operational matrix for Caputo fractional derivative to solve approximate analytical solutions of the nonlinear fourth order Caputo fractional integro-differential equations of the static beam problem. The analytical solutions of this problem can be written by a Chebyshev series that can c...

The main objectives of this works are to introduce a fractional order model of the glucose-insulin homeostasis in rats, to establish conditions for which an equilibrium point of the model is asymptotically stable, and to apply standard methods to solve the model for solutions. The exact solutions of the fractional-order model are derived using the...

In this paper, we introduce the mathematical model that represents the quantity and population dynamics on the coconut farm. The model encompasses the number of coconuts and population of squirrels, barn owls, and squirrel hunters. We study the fundamental properties of the model that include positivity, boundedness, and equilibrium points. We also...

The generalized time fractional Kolmogorov–Petrovsky–Piskunov equation (FKPP), D t α ω ( x , t ) = a ( x , t ) D x x ω ( x , t ) + F ( ω ( x , t ) ) , which plays an important role in engineering, chemical reaction problem is proposed by Caputo fractional order derivative sense. In this paper, we develop a framework wavelet, including shift Chebysh...

This paper proposes a delayed fractional-order model of glucose–insulin interaction in the sense of the Caputo fractional derivative with incommensurate orders. This fractional-order model is developed from the first-order model of glucose–insulin interaction. Firstly, we investigate the non-negativity and the boundedness of solutions of the fracti...

In this paper, the ( G ′ / G , 1 / G ) -expansion method is applied to acquire some new, exact solutions of certain interesting, nonlinear, fractional-order partial differential equations arising in mathematical physics. The considered equations comprise the time-fractional, (2+1)-dimensional extended quantum Zakharov-Kuznetsov equation, and the sp...

This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the problem are given. In the case that blow-up occurs, the blow-up set for the problem is investigated. Finally, the asymptotic behaviour of the solution when time converges to the blow-up time...

In this work, we formulate the mathematical model that incorporates two equations to represent the ultimate goal and controlling strategy to the traditional prey-predator model so that we can investigate the interaction between preys and predators. The model is shortly called the CSOH model. The impulsive practice is added into the model for squirr...

Abstract Ultrashort pulse propagation in optical transmission lines and phenomena in particle physics can be investigated via the cubic–quintic Ginzburg–Landau equation and the Phi-4 equation, respectively. The main objective of this paper is to construct exact traveling wave solutions of the (2+1) $(2 + 1)$-dimensional cubic–quintic Ginzburg–Landa...

Abstract In recent years, many new definitions of fractional derivatives have been proposed and used to develop mathematical models for a wide variety of real-world systems containing memory, history, or nonlocal effects. The main purpose of the present paper is to develop and analyze a Caputo–Fabrizio fractional derivative model for the HIV/AIDS e...

We apply the G′/G2 -expansion method to construct exact solutions of three interesting problems in physics and nanobiosciences which are modeled by nonlinear partial differential equations (NPDEs). The problems to which we want to obtain exact solutions consist of the Benny-Luke equation, the equation of nanoionic currents along microtubules, and t...

The purpose of this paper is to apply new modified recursion schemes obtained by the Duan-Rach modified decomposition method to analytically solve certain types of nonlinear fractional boundary value problems with three-point and four-point boundary conditions. The obtained modified recursion schemes sometimes start with the technique of Duan’s con...

An SEQIJR model of epidemic disease transmission which includes immunization and a varying population size is studied. The model includes immunization of susceptible people (S), quarantine (Q) of exposed people (E), isolation (J) of infectious people (I), a recovered population (R), and variation in population size due to natural births and deaths...

We investigate methods for obtaining exact solutions of the (3 + 1)-dimensional nonlinear space-time fractional Jimbo-Miwa equation in the sense of the modified Riemann-Liouville derivative. The methods employed to analytically solve the equation are the G′/G,1/G -expansion method and the novel G′/G -expansion method. To the best of our knowledge,...

The variational iteration method combined with the improved generalized tanh-coth method is proposed to solve the generalized (1 + 1)-dimensional and (2 + 1) -dimensional Ito equations. It is observed that variational iteration method combined with the improved generalized tanh-coth method gives a variety of exact solutions. Some solutions are show...

Study of currents in the sea is important because currents have a significant effect on the earth. Some mathematicians have developed mathematical models for studying the behaviour of sea currents near coasts. In this research, we investigate a mathematical model of wind-driven sea currents in shallow water near a coast. We assume that the sea curr...

In this paper, F-expansion method and the extended version of Jacobi elliptic functions that is a straightforward, short, and powerful method is proposed to solve various polynomial nonlinear evolution equations. This method can give more nontrivial solutions of some particular higher order nonlinear partial differential equations. With the aid of...

We study a mathematical model for hepatitis B consisting of populations of uninfected liver cells, infected liver cells and free virus. The model includes a noncytolytic cure process term and a logistic growth term. We show that the model has a disease free equilibrium point and an endemic equilibrium point and then analyze the stability of these p...

This research presents the analytical solutions for the temperature distribution of an annular fin under a partially-wet surface condition. The annular fin is separated into three different regions during the process of dehumidification. The mathematical models for each region are developed based on the conservation of energy principle and the anal...

Hematopoiesis is the process by which red and white blood cells and platelets are produced and regulated in the blood stream. The process is complex, with the hematopoietic stem cells (HSCs) responding to a wide variety of cytokines and growth factors. In this paper, we study a model consisting of a system of five age-structured, time-delay ordinar...

Three of the main strategies used in controlling the spread of infectious diseases are immunization, quarantine of exposed people who have been in contact with an infectious animal or person, and isolation of infected and infectious people. In this paper we analyze the effectiveness of quarantine and isolation strategies in an SEQIJR model original...

This is paper, we are study of solving nonlinear convective-radiative cooling equation by using the classical variational iteration method (VIM) and modified version called the multistage variational iteration method (MVIM). This method is based on the use of Lagrange multipliers for identification of optimal values of parameters in a functional. F...

We proposed two new confidence intervals for the difference between normal population means with known coefficients of variation. This situation occurs normally in environment and agriculture experiments where the scientist knows the coefficients of variation of two independent groups. We propose two new confidence intervals for this problem based...

We propose two new confidence intervals for the ratio of normal population means with a known coefficient of variation. This situation occurs in environment and agriculture experiments where the scientist needs to know the coefficient of variation of the control group (treatment) when compared with another treatment whose a coefficient of variation...

The variational iteration method (VIM), which is a powerful tool, is applied to numerical solutions of eighth-order boundary value problems. The VIM usually gives a solution in the form of a rapidly convergent series of a correction functional. The correction functional is constructed by using generalized Lagrange multipliers and the calculus of va...

By using the Krasnosel’skii fixed-point theorem, we study the existence of positive solutions to the boundary value problem u '' (t)+λa(t)f(t,u(t-τ))=0,t∈J=[0,1],u(t)=βu(η),-τ≤t≤0,u(1)=αu(η), where α, β, η are constants with η∈(0,1). λ is a positive real parameter.

In this paper, we derive the distribution of a desease-model which is not possible to have backward transitons. The distribution is the sums of gamma distributions. In special cases, the results reduce to some AIDS medels and uniform forward model.

A simplifled but accurate modeling of linearly piezoelectric thin plates or slender beam are derived by a rigorous study of the asymptotic behavior of a three-dimensional body when some of its dimensions, considered as parameters, tend to zero. The study is carried out by some tools of applied functional analysis like singular perturbations in vari...

This paper provides a practical overview of the Crank-Nicolson method for obtaining numerical solutions to one-dimensional, time-dependent heat conduction problems. The method has been used to determine the heat flow through the boundary surfaces of a poultry shed for the two cases of constant air temperatures outside the shed and for known time va...

This thesis contains a study of two types of piezoelectric materials, namely linearly thin plates and slender rods. For mathematical modeling of thin piezoelectric plates a key-point in developing a rigorous model is to consider the thickness of the piezoelectric plate as a parameter. The rigorous model is then derived by using functional analysis...