On a Z-Transformation Approach to a Continuous-Time Markov Process with Nonfixed Transition Rates

The paper presents z-transform as a method of functional transformation with respect to its theory and properties in dealing with discrete systems. We therefore obtain the absolute state probabilities as a solution of a differential equation corresponding to a given Birth-and–Death process via the z-transform, and deduce the equivalent stationary state probabilities of the system

Frobenius method for the solution of Klein-Gordon-Fock equation with equal scalar and vector oscillator plus potential

In this paper, the solution of Klein Gordon Equation is sought. Frobenius method was used to solve the Klein Gordon (KG) equation with equal scalar and vector harmonic oscillator plus inverse quadratic potential for s - waves. A corresponding un-normalized wavefunction was obtained for the Frobenius equation in the form of a power series

APPROXIMATE-ANALYTICAL SOLUTIONS OF SOME CLASSICAL RICCATI DIFFERENTIAL EQUATION USING THE DAFTARDAR-GEJJI JAFARI METHOD

This present paper considers the approximate-analytical solution of some classical Riccati Differential Equations (RDEs). Here, an efficient numerical method referred to as Daftardar-Gejji Jafari Method (DJM) for solving the functional differential equations is applied. Three numerical examples are considered to show the accuracy of the proposed method. Keywords: iterative methods; Riccati differential equations; DJM; nonlinear differential equations; approximate-analytical solutions

Closed form root of a linear Klein–Gordon equation

In this paper, solution of the linear version of Klein-Gordon equation is considered via the application of natural transform combined with decomposition method. Hereafter, referred to as natural decomposition method (NDM). This proposed method shows viable improvement and reliability in usage compared to the classical natural transform. Illustrative example(s) are considered, and the solution (root) is shown to follow a closed form. Therefore, the NDM is recommended for highly nonlinear differential models both in pure and applied sciences

Frobenius method for the solution of Klein-Gordon-Fock equation with equal scalar and vector oscillator plus potential

In this paper, the solution of Klein Gordon Equation is sought. Frobenius method was used to solve the Klein Gordon (KG) equation with equal scalar and vector harmonic oscillator plus inverse quadratic potential for s - waves. A corresponding un-normalized wavefunction was obtained for the Frobenius equation in the form of a power series

Preface for International Conference on Recent Trends in Applied Research (ICoRTAR2020) Proceedings

The 1st International Conference on Recent Trends in Applied Research (ICoRTAR2020) is a virtual conference based on enabling platforms to present research results relating to global issues. ICoRTAR2020 is hosted by ResearchAcad HUB with channels and human resources in Nigeria, Mexico, India, and Cameroon. Thus, the conference was held virtually from September 18-19, 2020. ICoRTAR2020 aims to bring together faculty members, leading scientists, academicians, research & graduate scholars, industrial professionals, and decision-makers to discuss current trends in research with implications on global phenomena such as COVID-19, economic growth & development, and so on. Basically, the ICORTAR2020 participants discussed extensively vital topics on recent trends and issues in Applied Science, Applied Mathematics, Computational Science, Engineering Science, Physics and Nanoscience, Financial Modeling and, Artificial Intelligence, and Stochastic Dynamics. Two plenary sessions with different aspects of the ICORTAR2020 Theme were held successfully. The first keynote speaker, Professor Snehashish Chakraverty from the National Institute of Technology, Rourkela, INDIA, spoke on “Mathematical Modelling in Applied Science and Engineering.” Thereafter, The second keynote speaker, Professor/Dr. M. O. Ogundiran from the Obafemi Awolowo University, Ile- Ife, Osun State, Nigeria, spoke on “Situational effect of COVID-19 on Recent Trends in Applied Research: the adoption of online practices.” All the papers presented in the ICORTAR2020 are selfcontained and peer-reviewed

Approximate-analytical solutions of the quadratic Logistic differential model via SAM

This paper applies the novel Successive Approximation Method (SAM) for the solution of the quadratic Logistic Differential Model (LDM). To confirm the reliability of the method, illustrative examples are considered, and it is remarked that the approximateanalytical solutions of the considered cases are computed with ease. The proposed technique is used directly, without transformation, discretization, linearization, or any restrictive assumptions