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In this paper, three types of parabolic inverse problems are solved by homotopy analysis method (HAM). In order to solve these types of problems, an overspecified boundary condition is given. There are advantages to using HAM, firstly it... more
Risk management is a process aimed at enhancement, developing the level of security in an organization. It gives the organization a broad view of the risks that can affect its productivity and performance, and enables it to make... more
In this paper we discus on the Borel-Cantelli lemma when the condition of independent events is replaced by negative quadrant dependent condition.
An efficient approach for the optimization of three-dimensional viscous flow geometries is presented. A general purpose optimization tool has been delleloped and implemented into the finite volume-based computational fluid dynamics (CFD)... more
Background and aims: Nowadays interventions associated to the implantation of tracheal stents in patients with airway pathologies, are a very common surgery that in the postoperating period can bear many problems such as migration of the... more
In this paper a new mathematical model for predicting the spread of a fire front in homogeneous and inhomogeneous environments is presented. It is based on a bidimensional cellular automata model, whose cells stand for regular hexagonal... more
A parametric study involving the effects of some combinations of parameters, in particular, different combinations of the Rayleigh number, amplitude, temperature, and inclination angle of a two-dimensional long wavy-walled channel on a... more
Recently, there has been an increasing interest in the study of singular and perturbed systems. In this paper design fast feed forward neural network to present a method to solve two dimensions singularly perturbed integrodifferential and... more
In this paper we present a mathematicalformulation of a well-known model of the enhanced greenhouse effect. the Dutch IMAGE model. The formulation is in the form of a dynamical system with forcing term consisting primarily of human... more
HIV/AIDS remains one of the leading causes of death in the world with its effects most devastating in Sub Saharan Africa due to its dual infection with opportunistic infections especially malaria and tuberculosis. This study presents a co... more
This paper studies the exact solution of the Biswas-Milovic equation with Kerr law nonlinearity by the aid of adomian decomposition method. Biswas-Milovic equation is a generalized version of the familiar nonlinear Schrodinger's equation... more
In this paper, He's variational iteration method (VIM) has been used to obtain solution of nonlinear gas dynamics equation. This method is based on Lagrange multipliers for identification of optimal values of parameters in a... more
Wavelet transform or wavelet analysis has been recently developed as a mathematical tool for many problems. This paper is concerned with the wavelet numerical method for solving partial differential equations (PDE's). The method is based... more
The process of casting occupies an important place in the metallurgical industry, and the entire world of the metal user. In the past, the ingot casting-rolling (slabbing, blooming, or billeting) process was commonly used. The continuous... more
In this paper, we introduced learning effect into assembly line balancing problems. In many realistic settings, the produced worker(s) (or machine(s)) develops continuously by repeated the same or similar activities. Therefore, the... more
A variant method for solving system of nonlinear equations is presented. This method use the special form of iteration with two step length parameters, we suggest a derivative-free method without computing the Jacobian via acceleration... more
The paper involves with the application of the dual series equation to the problem of Helmholtz equation of cylindrical coordinates subject to inhomogeneous mixed boundary conditions of the third kind located on the surface of the... more
In this article, we represent an algorithm for finding connected elements in an undirected graph with n vertices based on adjacency matrix.
The two well-known neural network, Hopf ield networks and Radial Basis Function networks, have different structures and characteristics. Hopf ield neural network and RBF neural network are two of the most commonly-used types of feedback... more
![where the system in Hopfield model consists of N formal neurons each
of which is described by an Ising variable S;(is called the state of neuron
i), Sje{1,—l}and S; = sign(h;). The updating rule maintains S;(¢+ 1) =
sign(h;(t)). Mi is the synaptic strength from neuron i to neuron j, where the
synaptic strength are symmetric with zero diagonal|(15]
neurons-which are binary threshold neurons- are determined based on the con-
straints and solution criteria of the optimization problem to be solved. Each
unit is connected to all other units except itself, as a result, avoids a permanent
feedback of its own state value. Figure 3.3. shows the architecture of Hopfield
network. A solution is active after the network is relaxed and reaches a stable
state. The energy function in higher order is thus[15]:](https://figures.academia-assets.com/19873085/figure_004.jpg)
The aim of this paper is to solve analytically fluid flow problems in a porous medium, the Laplace-Adomian method gives algorhims that converge faster to achieve the exact solution when it exists.
The double diffusive convection in a horizontal anisotropic porous layer saturated with a Boussinesq fluid, which is heated and salted from below in the presence of Soret coefficient is studied analytically using both linear and nonlinear... more
In this paper an M/M/1/K interdependent retrial queueing model with controllable arrival rates and impatient customers is considered. The steady state solutions and the system characteristics are derived for this model. The analytical... more
The theory of impulsive differential equations is emerging as an important area of investigation since such equations appear to represent a natural framework for mathematical modeling of several real phenomena. There have been intensive... more
The purpose of this research is to provide an effective numerical method for solving linear Volterra integral equations of the second kind. The mathematical modeling of many phenomena in various branches of sciences lead into an integral... more
![Table 4: Relative Errors of the Results for Example 2 The numerical results of this example by the proposed method are shown in Table 3 and Table 4. Example 2. Consider the following linear Volterra integral equation [8]](https://figures.academia-assets.com/104931938/table_004.jpg)
![Fig. 4: Exact and Approximate Solutions of Example 2, for N=6. Fig. 3: Exact and Approximate Solutions of Example 2, for N=1. Example 3. Let us the following linear Volterra integral equation [9]](https://figures.academia-assets.com/104931938/figure_003.jpg)
Prosopis juliflora is an alien invasive tree species which is expanding at an alarming rate in the Horn of Africa region. In this paper a mathematical model is developed to estimate the rate of expansion in the Afar region of Ethiopia... more
In this work, Homotopy Perturbation method and Adomian decomposition method are used to solve systems of partial differential equations. These methods are which are well known methods nowadays based upon perturbation and decomposition... more
![The approximate solution of (10) can be obtained by setting p =1: International Journal of Applied Mathematical Research Now to solve the system (10), by Adomian decomposition method constructs the following forms of this method [6, 7]:](https://figures.academia-assets.com/73602302/figure_001.jpg)
A neglected disease with a nearly forgotten name is making a comeback following a global control programme that almost eradicated it more than forty years ago. Until the 1970s the prevalence of non-venereal treponematosis, including yaws,... more
In this paper, we introduce the concept of the total block edge cut vertex graph. We obtain some properties of these graphs. We present characterization of graphs whose total block edge cut vertex graphs planar, outer planar, minimally... more
This paper is devoted to analysis of a finite volume scheme for a one-dimensional convection-diffusion-dissipation equation having application in pollution of water table. We analyse a scheme corresponding to a semi-descretization, also... more
In this paper, based on a block splitting of the coefficient matrix, we present a new generalized iterative method for solving the linear system Ax = b. This method is well-defined even when some elements on the diagonal of A are zero.... more
The main objective of this work is to find a pricing model for weather derivatives with payouts depending on temperature. We use historical data to first suggest a stochastic process that describes the evolution of the temperature. Since... more
Hamiltonian mechanics is the root of classical mechanics. Hamiltonian function is the modified version of Lagrangian function which is of the first order differential equations with generalized coordinates, generalized momentum and time.... more
The paper has made an attempt to obtain transient response of an AC series circuit by mathematical methods of engineering namely classical method and Laplace transform method. The equations developed are differential equations of second... more
In this paper, the new better than used in the Laplace transform order (NBUL) aging class is studied further. This class is defined based on comparing the residual life time to the whole life in the Laplace transform order. Some new... more
In this paper we study the Legender conformable fractional differential equation. It turns out that in certain cases, similar to the classical case, certain solutions are fractional polynomials. Further, we study basic properties of such... more
This paper presents a 3D geometric modelling of a twin helical spring and its finite element analysis to study the spring mechanical behaviour under tensile axial loading. The spiralled shape graphic design is achieved through the use of... more
![follows on previous study [11] undertaken to model the thermoelastic behaviour of tungsten filaments. The paper layout i: as follow: in Section 2, the theoretical and numerical approaches used in the THS are considered. Results and comments or findings are provided in Section 3. Recommendations and conclusions are given in final Section 4.](https://figures.academia-assets.com/50555636/figure_001.jpg)
![Fig. 3. Coordinate systems attached to the THS structure. Thus, the axial force N applied to the spring can be determined through the expression of its axial components. These may then be written in the local system of coordinates (03, f, d, e) as: (detailed derivations of these set of equations could be found in reference [11])](https://figures.academia-assets.com/50555636/figure_004.jpg)
Obtaining analytical or numerical solution of fractional differential equations is one of the troublesome and challenging issues among mathematicians and engineers, specifically in recent years. The purpose of this paper is to solve... more
In this paper we established the Hyers-Ulam stability of a nonlinear differential equation of second order with initial condition. We also proved the Hyers -Ulam stability of a linear differential equation of second order with initial... more
In the present paper, the singular values of one parameter family of entire functions $f_{\lambda}(z)=\lambda\bigg(\dfrac{e^{z}-1}{z}\bigg)^{m}$ and $f_{\lambda}(0)=\lambda$, $m\in \mathbb{N}\backslash \{0\}$, $\lambda\in \mathbb{R}... more
We contribute here some standard results for 7-cordial labeling. It has been proved that fans, friendship graphs, ladders, double fans, double wheels admit 7-cordial labeling.
In this paper we present and analyze a generalization of the giving up smoking model that was introduced by Sharomi and Gumel [4], in which quitting smoking can be temporary or permanent. In our model, we study a population with peer... more
Dynamical system is a young and vigorously growing area of research which promises enormous potential and opportunities. This paper aims to introduce some of the preliminary concepts of dynamical systems. Many application sides of the... more
This work deals with the analysis of a predatorprey model derived from the LeslieGower type model, where the most common mathematical form to express the Allee effect in the prey growth function is considered. It is well-known that the... more
Leakage on piston pumps Piston pump pressure/flow dynamics Piston pump dynamic model a b s t r a c t The paper is focused on understanding the flow losses and the resulting flow/pressure dynamics in a piston pump. Initially, equations to... more
In this paper, we solve some first and second order ordinary differential equations by the standard and non-standard finite difference methods and compare results of these methods. Illustrative examples have been provided, and the results... more
The paper deals with the timetabling problem of a mixed multiple-and single-tracked railway network. Out of all the solutions minimizing the maximum relative travel time, the one minimizing the sum of the relative travel times is... more
This paper presents the dynamic characteristics of functionally graded beam with material graduation in axially or transversally through the thickness based on the power law. The present model is more effective for replacing the... more
![The variation of non-dimensional frequency for different material distributions and slenderness ratios. Table 9 relatively small and approximately neglected for higher slenderness ratio. This results agree very well with analytical solu- tion [13]. Seeing as the material properties are constant through the beam axis, no change occurs in mode shapes and their profiles as presented in Figs. 6-8.](https://figures.academia-assets.com/76126587/table_009.jpg)
By increasing data generation at these day, requirement for a sufficient storage system are strongly needed by stakeholders to store and access huge number of data in efficient way for fast analysis and decision. While RDBMS cannot deal... more
In this article, based on the homotopy analysis method (HAM), a new analytic technique is proposed to solve systems of fractional integro-differential equations. Comparing with the exact solution, the HAM provides us with a simple way to... more