Applied Mathematics

The combined effects of thermal radiation and viscous dissipation on unsteady, laminar, free convective flow with heat and mass transfer over an incompressible viscous fluid past a non-isothermal vertical cone with variable surface temperature and concentration are considered in this article. The dimensionless governing equations of the flow that are unsteady, coupled and non-linear partial differential equations are solved by an efficient, accurate and unconditionally stable finite difference scheme of Crank-Nicolson type. The velocity, temperature and concentration fields have been studied for the effect of Eckert number (Ec), Prandtl number (Pr), radiation parameter (F), Schmidt number (Sc), buoyancy ratio parameter (N), semi vertical cone angle ( ), surface temperature power law exponent (n) and surface concentration power law exponent (m). The local skin-friction, Nusselt number and Sherwood number are also presented and analyzed graphically. It is observed that, when the radiation parameter increases, the velocity decreases close to the cone surface and an increase in Eckert number is observed to increase both velocity and temperature. The present results are compared with the available results in literature and are found to be in good agreement.

Traditional economic production / order quantity (EPQ/EOQ) models make various simplifying assumptions in order to arrive at a closed form solution for the optimal lotsize in a production facility. The assumption of fixed unit cost in EOQ / EPQ models has also been tackled by many researchers. For example, Cheng (1991) formulated a problem where production cost is affected by both the product’s demand and the process reliability. Lee (1994), by formulating the unit cost on a function of the order quantity, took the economies of scale into account. Quality level of the product and specifications of the adopted manufacturing process also affect the unit product’s cost. Therefore, in this paper we consider a profit maximizing firm who wants to jointly determine the optimal lotsizing, pricing and marketing decisions along with manufacturing requirements in terms of flexibility and reliability of the process. The objective is to determine the optimal order lotsize to maximize the total profit by employing the type of fuzzy numbers which are triangular. We propose two fuzzy inventory model in which first model with fuzzy reliability level and second model with fuzzy reliability level and second model with fuzzy reliability and fuzzy economic production quantity (EPQ) is presented. For ech case we employ the signed distance, a ranking method for fuzzy numbers, to find the estimate of total profit per unit time in the fuzzy sense and then derive the corresponding optimal lotsize. Numerical examples are provided to illustrate the results of proposed models.

In article is considered approximately unitary quantum equation with oscillating charge for single particle. The Laws of the conservation are got after averaging on ensemble of the particles. Using of this equation allows with united position to explain many mysterious phenomenas of the catalytic processes and nature.

Fisher folk form an important community in Kerala, but remain neglected and marginalized in spite of the higher socio-economic progress the state has made as a whole. While we consider fisher folk, they remain isolated from the main stream of development. They remained educationally backward also. It is well known that a rapid growth in educational attainment is the most successful medium for social empowerment of the disadvantaged. The path towards our goal of achieving progress and prosperity of the nation is necessarily through equipping the backward sections through knowledge and skills. They need to be empowered by equipping them with self-sufficiency and existence skills such as Self Confidence, Problem Solving Ability, Logical thinking, Decision Making Power, Computational Speed and Reasoning etc. The present paper throws light on the Supreme power of Vedic Mathematics in enhancing these skills.

We have to make comparison among differential transformation method (DTM) and Variation of Parameter method (VOPM). We provide two examples in order to compare our results and find exact solutions also. The numerical examples show that the DTM is a good method compared to the VOPM since it is effective, uses less time in computation, easy to implement and achieve high accuracy. In addition, DTM has many advantages compared to VOPM since the calculation of Adomian polynomial is tedious. From the numerical results, DTM is suitable to apply for nonlinear problems.

In this paper we presented an analysis of Hamilton formulas. with Three Almost Complex Structures. We have reached important results in differential geometry that can be applied in theoretical physics

In this paper cofinitely quasi-injective modules defined. Let and be modules. Let be a monomorphism from any module such that is cofinite submodule of . Then is called cofinitely injective module if any homomorphism can be extended to an homomorphism . An module is called cofinitely quasi injective, if is cofinitely injective module.

Rosa [13] introduced the notion of graceful labelings. The concept of magic, antimagic and conservative labelings have been extended to directed graphs [11]. Bloom and Hsu [3, 4, 5] extended the notion of graceful labeling to directed graphs. In 1985, Lo [12] introduced the notion of edge – graceful graphs. We introduced [8] the concept of edge – graceful labelings to directed graphs and further studied in [9]. In this paper we investigate directed edge – graceful labeling of trees.

This paper aims of inducing the notion of neutrosophic soft cubic set to BCK/BCI-algebras. Here we focus on various characterizations of neutrosophic soft cubic BCK/BCI-algebras. We infer that the R-intersection of two neutrosophic soft cubic BCK/BCI-algebras is also a neutrosophic soft cubic BCK/BCI- algebras. We also investigate several properties of neutrosophic soft cubic subalgebras of BCK/BCI-algebras based on a given parameter.

In this manuscript, we will discuss a definition of Laplace transforms with some of their properties. with common applications. This will be according to some types and ranks of differential equations. We will also show how to find the inverse Laplace transform. We also showed what are differential equations of the third order and how the Laplace transform is applied to them. In addition to (Heterogeneous Linear Equations), which is a type of differential equation. The articles of this manuscript were interspersed with a mention of some types of solutions.