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Journal of Applied & Computational Mathematics

ISSN: 2168-9679

Open Access

Current Issue

Volume 2, Issue 5 (2013)

    Editorial Pages: 1 - 2

    Thermostatted Mode ls: Ope n Problems

    Carlo Bianca

                  

    Volume 10, Issue 2 (2021)

      Editor Note Pages: 1 - 2

      Complexity in Mathematics

      Artur Sowa

                    

      Editor Note Pages: 1 - 3

      US Capital Gains Tax Rate Using Markov Chains

      Brian Trowbridge

      Using Markov-chains (formally a Markov process or Markov system) we will show how to estimate the probabilities of a capital gains tax rate changing from its current rate to another rate within a certain number of years. It is important to recognize that capital gains rates in the United States have their origins in every elected administration of the government that had the power to influence tax policy. The outcome of government elections is dependent on chance factors such as periods of war and peace, economic recession and expansion, current fiscal and monetary policy, changes in population demographics, just to name a few. The delicate balance between the government and the dynamic society that shapes tax policy is difficult to predict using deterministic modeling. Therefore, we look to stochastic modeling using the Markov-Chain processes to see if it could be of use in creating a useful model for capital gains tax rates in the United States

      Editor Note Pages: 1 - 3

      Coefficient Inequalities for Uniformly P-Valent Starlike and Convex Functions

      Vandna Agnihotria 1, Ran Singh 2

      In this paper we obtain some coefficient inequalities for subclasses of uniformly p−valent starlike and convex functions in the open unit disk denoted by SDp (β, α) and KDp (β, α). Growth bounds and distortion bounds are discussed for functions in these classes. For different values of the parameters p, α and β our results of this paper generalize those obtained by several authors in the literature.

      Editor Note Pages: 1 - 3

      Behavior of a State-dependent Functional Differential Equation

      Yin-Wei Lin, Tzon-Tzer Lu

      This paper deals with the state-dependent functional differential equations x(x(t)). We give the strict proof of qualitative properties that Eder’s case and the solution of the state-dependent differential equation is not unique. In some conditions, we also extend Eder’s case.

      Volume 10, Issue 3 (2021)

        Mini Review Pages: 1 - 2

        Perfect Folding of Graphs

        El Kholy*

        In this paper we introduced the definition of perfect folding of graphs and we proved that cycle graphs of even number of edges can be perfectly folded while that of odd number of edges can be perfectly folded to C3. Also we proved that wheel graphs of odd number of vertices can be perfectly folded to C. Finally we proved that if G is a graph of n vertices such that 2>clique number=chromatic number=k>n, then the graph can be perfectly folded to a clique of order k.

        Research Pages: 1 - 6

        Numerical Investigation of Mixed Convection Flows with Variable Viscosity and Prandtl Number and Validation Using ANSYS FLUENT

        Abhishek Kumar Singha

        Purpose: The purpose of present study is to analyze the mixed convection impact for an exponentially decreasing free stream in laminar water boundary layer flow with variable viscosity and Prandtl number. The analysis includes the effect of suction/blowing and heat generation/ absorption. Design/methodology/approach: The non-linear partial differential equation governing the flow and thermal fields are presented in nondimensional form by using appropriate transformations. The Quasilinearization technique in combination with implicit finite difference scheme has been adopted to solve the non- linear coupled partial differential equations. Findings: It was found that the influence of The numerical results are displayed graphically to illustrate the influence of various nondimensional physical parameters on velocity and temperature buoyancy assisting force on both velocity as well as temperature profile is significant. Skin friction coefficient increases with Richardson number and deceleration parameter. The heat transfer coefficient decrease with the increase of heat generation/absorption parameter and increases with an increase in wall suction/injection parameter. Originality/value: The present investigation deals with the solution of steady laminar water boundary layer flows with an exponentially decreasing free stream velocity and temperature-dependent viscosity and Prandtl number applicable to water using practical data.

        Research Article Pages: 1 - 3

        A Pair of Formulae to the Goldbach�??s Strong Conjecture

        Noor Zaman Sheikh

        The Goldbach’s Strong Conjecture is one of the oldest unsolved problem in number theory in Mathematics. We have created a pair of formulae to the Goldbach's strong conjecture because the statement is based with the basic concept of Mathematics. The main focus before creation was, If we can create a formula or a pair of formulae to the said conjecture, that will bring an interesting events among the students (readers) who love Mathematics, the creations will give them a huge pleasure, when they can solved, the primes whose sum are equal to the positive integer say 46,by applying our created formulae.

        Research Article Pages: 1 - 8

        Heterogeneous-Homogeneous Reaction Mechanism on the Hydro Magneticnano Fluid Flow Over a Stretching Cylinder with Prescribed Heat Flux using Hermite Wavelet Method

        Raghunatha K R

        The current work provides the Hermite wavelet method (HWM) for an incompressible Nanofluid hydromagnetic flow through a stretching cylinder associated with heterogeneous-homogeneous chemical reactions. Single-walled carbon nanotubes (SWCNTs) with multi-walled carbon nanotubes (MWCNTs) as nanoparticles in the form of arranged heat flux are accounted for currently. Regulating equations, which are highly nonlinear coupled, are changed right into non-dimensional ordinary differential equations (ODEs) using appropriate similarity transformations. The desire for exceptional flow constraints on the flow feature is finalized truthfully through tables and graphs. Graphic summaries are offered for the rheological qualities of various parameters in size for velocity, temperature, concentrations, and nanoparticles. Comparison of the numerical outcomes is made with previously available consequences under particular cases, and the results are found to be in good agreement. The Hermite wavelet technique is hugely proficient and sensible for finding outcomes to this type of coupled nonlinear ODEs. The works are in outstanding accord for coupled nonlinear ordinary differential equations (ODEs) in engineering applications.

        Research Article Pages: 1 - 2

        Coding and Decoding of Multiple Factoriangular Numbers and its Application in Cryptographic System

        Swati Bisht

        The current work provides the Hermite wavelet method (HWM) for an incompressible Nanofluid hydromagnetic flow through a stretching cylinder associated with heterogeneous-homogeneous chemical reactions. Single-walled carbon nanotubes (SWCNTs) with multi-walled carbon nanotubes (MWCNTs) as nanoparticles in the form of arranged heat flux are accounted for currently. Regulating equations, which are highly nonlinear coupled, are changed right into non-dimensional ordinary differential equations (ODEs) using appropriate similarity transformations. The desire for exceptional flow constraints on the flow feature is finalized truthfully through tables and graphs. Graphic summaries are offered for the rheological qualities of various parameters in size for velocity, temperature, concentrations, and nanoparticles. Comparison of the numerical outcomes is made with previously available consequences under particular cases, and the results are found to be in good agreement. The Hermite wavelet technique is hugely proficient and sensible for finding outcomes to this type of coupled nonlinear ODEs. The works are in outstanding accord for coupled nonlinear ordinary differential equations (ODEs) in engineering applications.

        Volume 10, Issue 4 (2021)

          Research Pages: 1 - 1

          Prime Multiple Factoriangular Numbers

          Swati Bisht

          S. Bisht defined a class of sequences called multiple Factoriangular sequences of the form Ft (n,k) = (n!)k +∑nk in a recent paper, and we have a special set of multiple Factoriangular numbers corresponding to each sequence. We expand the concept in this paper to find all the multiple Factoriangular primes

          Research Pages: 1 - 2

          A Curious Connection Between Fermat??s Number and Multiple Factoriangular Numbers

          Swati Bish

          In the seventeenth century Fermat defined a sequence of numbers Fn=22n +1 for n ≥ 0 known as Fermat’s number . If Fn happens to be prime then Fn is called Fermat prime. All the Fermat’s number are of the form n!k+ Σnk for some fixed value of k and n. Further we will prove that after F4 no other Fermat prime exist upto 1050 .

          Research Pages: 1 - 2

          Prime Counting Function ? (n)

          Noor Zaman Sheikh

          We have created a formula to calculate the number of primes less than or equal to any given positive integer ‘n'. It is denoted by π (n). This is a fundamental concept in number theory and it is difficult to calculate. A prime number can be divided by 1 and itself . Therefore the set of primes (2,3,5,7,11,13,17.). The Prime Counting Function was conjectured the end of the 18th century by Gauss and by Legendre to be approximately x/Ln(x) But in this paper we are presenting the real formula, by applying the modern approach that is applying the basic concept of set theory.

          Mini Review Pages: 1 - 5

          A Convergent C9 Continuous Binary Non-Stationary Subdivision Technique

          Kashif Rehan

          This paper comprises a smooth limiting curve having C9 continuity using a non-stationary binary six-point approximating subdivision technique. The proposed technique is more efficient and produces more smooth results having a very large domain as compared with its stationary counterpart.

          Editorial Pages: 1 - 1

          Editorial Note on 3 Dimensional Study Case

          Dover

          Today, 3D models are utilized during a good kind of fields. The medical industry uses detailed models of organs; these could even be created with multiple 2-D image slices from an MRI or CT scan. The movie industry uses them as characters and objects for animated and real-life motion pictures. the pc game industry uses them as assets for computer and video games. The science sector uses them as highly detailed models of chemical compounds. The architecture industry uses them to demonstrate proposed buildings and landscapes in lieu of traditional, physical architectural models. The engineering community utilizes them as designs of latest devices, vehicles and structures also as variety of other uses. In recent decades the planet science community has begun to construct 3D geological models as a typical practice. 3D models can also be the thought for physical devices that are built with 3D printers or CNC machines.

          Volume 10, Issue 5 (2021)

            2021 Conference Announcement Pages: 1 - 3

            Some Important Properties of Beta Functions

            Ibadul Qadeer

            In this paper, we discuss some important properties of Beta functions. These properties make the study of these functions more meaningful. Beta function is also known as the Eulerian integral of the first kind.

            Method Pages: 1 - 4

            Multidirectional regression analysis

            Koen Van de Moortel

            The so-called ‘least squares regression’ for mathematical modelling is a widely used technique. It’s so common that one might think nothing could be improved to the algorithm anymore. But it can. By searching the ‘least squares’ not just in the vertical direction The first test results are very promising, and especially for power functions, often used in biomedical sciences, the conclusions you make from your data can change dramatically. Fermat prime exist up to1050.

            Research Pages: 1 - 6

            One Dimensional Heat Equation and its Solution by the Methods of Separation of Variables, Fourier Series and Fourier Transform

            Lencha Tamiru Abdisa

            The aim of this paper was to study the one-dimensional heat equation and its solution. Firstly, a model of heat equation, which governs the temperature distribution in a body, was derived depending on some physical assumptions. Secondly, the formulae in which we able to obtain its solution were derived by using the Method of separation of variables along with the Fourier series and the method of Fourier transform. Then after, some real-life applications of the equations were discussed through examples. Finally, a numerical simulation of the raised examples was studied by using MATLAB program and the results concluded that the numerical simulations match the analytical solutions as expected.

            Editorial Pages: 1 - 1

            Editorial note on number theory

            miller

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            Brief Report Pages: 1 - 1

            "On h-open sets and h-continuous functions

            Huseyin Cakalli

            The author introduced a new topology depending on the original topology on a non-empty set in the paper entitled”On h-open sets and h-continuous functions” by Fadhil Abbas, published in Journal of Applied and Computational Mathematics [1]. However, there are two false theorems and two false examples, namely Theorem 3.5, Theorem 3.8, Example 2.4, and Example 2.5 are unfortunately wrong. 1) Theorem 3.5 is wrong as a counter-example is given in the following

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