Probability and Statistics are difficult courses to learn by the statistics students and thus giving a challenging job for the instructors to teach. Among the many topics, most commonly, Bayes’ theorem and its associated probabilities is one common area which causes a lot of stir in teaching and learning. In such difficult scenarios, the instructor’s teaching pedagogy plays a...
We propose and present a self-starting numerical approximation with a higher order of accuracy for direct solution of a special fourth-order ordinary differential equation (ODE) using a Hybrid Linear Multistep Method (HLMM). The technique utilizes the collocation and interpolation approach with six-step numbers and two off-step points using power series as the basis function...
This study presents the application of semi-analytical and numerical solution technique to both Volterra and Fredholm integro-differential difference equations by employing Differential Transform Method depending on Taylor series expansion and introducing the new differential transform theorems with their proofs. To illustrate the computational efficiency and the reliability of...
The study of famous properties of fractional derivative and their proof has gained a lot of attention recently. In present work, we have been interested to generalizing the definition and some rules and important properties of the Shehu transform to the conformable fractional order which have been demonstrated. We use some properties of the conformable fractional Shehu transform...
In this research paper, a new extension of modified Gamma and Beta functions is presented and various functional, symmetric, first and second summation relations, Mellin transforms and integral representations are obtained. Furthermore, mean, variance and moment generating function for the beta distribution of the new extension of the modified beta function are also obtained.
Construction of numerical methods for the solution of initial value problems (IVPs) in ordinary differential equations (ODEs) has been considered overwhelmingly in literature. However, the use of a single numerical method for the integration of ODEs of more than one order has not been commonly reported. In this paper, we focus on the development of a numerical method capable of...
Polar codes are decoded using successive cancellation (SC) algorithm where likelihood ratios (LRs) for data bits are calculated in a sequential manner, and decisions are made using the calculated LRs. During the decoding of an information bit, the decision results for the predecessor bits are used, and a wrongly decided predecessor bit has negative effect on the accurate...
With the recent application of micro-grid system and off-grid renewable energy power system using internet of things (IoT) for the efficacy in demand side consumption management. The study employed usage of IoT supported with statistical initiative (logistic regression) to develop a knowledge-based solution for energy demand side consumption management. The research adopted two...
An in-depth comparative performance evaluation of the HLLC (Harten-Lax-van Leer-Contact) and the latest version of the AUSM (Advection Upstream Splitting Method), the AUSM+-up, numerical schemes is carried out with the help of the one-dimensional shock tube problem. The efficiency of schemes is assessed on the basis of the accuracy in capturing of the shock, contact discontinuity...
Let (X, τ) be a topological space. For a proper ideal I on (X, τ), the associated filter FI is defined and investigated in [1]. In this paper, we define several set-operators on an ideal topological space (X, τ, I) and investigate the relationship between the set-operators and limit points of the associated filter FI.
Theory of elliptic equations and undergone considerable progress that has created the concept of the topological character and eventually has created interesting connection with the analysis and Hilbert Space. Connection of Hilbert space and Topological space has been a matter of curiosity for many. Although there is no much work done on this topic, the answer to this question is...
This paper presents the construction and implementation of a three-step optimized hybrid method for solving stiff system of first order initial value problems of ordinary differential equations. The method contains six implicit formulas which were obtained from a continuous approximation, using shifted chebyshev polynomial as the basis function, via evaluations at six different...
Multiplication algorithms have a crucial role with occuring of approximately 10% in operating systems such as Windows, Linux, Mac OS, İOS, DOS and etc. Furthermore, these types of algorithms which are related with multiplication have to make an efficient impact on speed of CPU. Nevertheless, a lot of investigators have been making research on both improvement and optimising of...
Power transformers are one of the most expensive and most important elements in the power system. Malfunctions in power transformers result in significant power cuts and, consequently, material damage. This important problem needs to be solved. Power transformers must be protected from various fault conditions and faults in the power system. In this study, power transformers are...
Through this paper, we shall study of kernels of a set with the help of ideals and boundaries of these kernels. We also study the convergence of the associated filter in terms of a point which comes from the kernels. We shall also study the homeomorphic images of these kernels.
In this paper, we presented an efficient numerical method of solving Volterra integro-differential equations by applying Legendre as basis function for the solution of initial value problem of Integro-differential equations. We assumed appropriate solutions in terms of Legendre polynomial as basis function which was substituted into the class of integro-differential equations...
In this paper, at first we introduce the concepts of filter- annihilator, LI- ideal- annihilator, right- filter- annihilator, left- filter- annihilator, right- LI- ideal- annihilator, and left- LI- ideal- annihilator. Then by using of these concepts, are constructed six new types of graphs in a lattice implication algebra(L,˅,˄,´,→,0,I) which are denoted by Ф_F (L),Ф_A (L),∆_F (L...
In this research article, a numerical approach to the solutions of different forms of Lane-Emden type of singular initial value problems is presented, The Taylor Series Method has been applied. Application was on singular initial value problems. Comparison with exact solution shows considerable acceleration in convergence. The method is effective and easy to implement.
This paper develops a new modeling technique for the supervisory control of FMS in the framework of discrete event systems (DES). In particular, we consider the general case of an FMS, where different product types can share production components and production components can hold multiple products. We first point out that a suitable model for such production component needs to...
Path planning algorithms for mobile robots are concerned with finding a feasible path between a start and goal location in a given environment without hitting obstacles. In the existing literature, important performance metrics for path planning algorithms are the path length, computation time and path safety, which is quantified by the minimum distance of a path from obstacles...
In this paper, the vibration damping characteristic of reinforced composite loofah sponge as mid-sole, for running shoes was modelled and analysed. The reinforced composite loofah sponge was used as mid-sole for running shoes for effective and critical vibration damping to prevent knees and ankles injuries while running. The dried loofah sponge was treated with aqueous sodium...
Blood glucose (BG) concentration control for diabetic patients is a useful tool to reduce death and emergence of serious complications. But glucose control in patients with high variation and uncertainty with physiological conditions is harder. A generalized predictive control based on adaptive control strategy with frequent glucose measurements is proposed for blood glucose...
Let M be a module over a commutative ring R with identity. A submodule K of M is copure provided that ( K : M I ) = K + ( 0 : M I ) for each ideal I of R . In this paper, we investigate some results about copure submodules of M .
In this research article, a numerical approach to the solutions of different forms of Emden-Fowler is presented. The variational Iteration Method (VIM) has been applied to a wide class of problems in mathematical physics, biology and chemical reactions. The solutions provided in this research proved that the method converged rapidly with easily computable terms
In this work we have studied the evolution of a warped product (WP) manifold under second order renormalization group (RG-2) flow. We have shown some conditions for the existence of a solution of RG-2 flow on WP manifolds. Also, we have found a necessary condition for warped function under RG-2 flow. In particular, we study some special WP metric of real line with a manifold...