OALib Journal
  OALib Journal is an all-in-one open access journal (ISSN Print: 2333-9705, ISSN Online: 2333-9721). It accepts a manuscript for the peer-review processing, typesetting, publication and then allocated to one of the 322 subject areas. The article processing charge for publishing in OALib journal is Only $99. For more details, please contact service@oalib.com. Submit now
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Dec 01, 2023Open    Access

Effect of Asymmetric Finite Difference Formulas on the Orders of Central Difference Approximations for the Second Derivative of a Periodic Function

Hippolyte Nyengeri, Jimmy Jackson Sinzingayo, Bonaventure Dusabe, Eugène Ndenzako
The traditional numerical computation of the first and higher derivatives of a given function f(x) of a single argument x by central differencing is known to involve aspects of both accuracy and precision. However, central difference formulas are useful only for interior points not for a certain number of end points belonging to a given grid of points. In order to get approximations of a desired derivative at all points, one has to use asymmetric difference formulas at points where central diffe...
Open Access Library J.   Vol.10, 2023

Aug 15, 2023Open    Access

Series and Exponentially-Fitted Two-Point Hybrid Method for General Second Order Ordinary Differential Equations

Sunday Jacob Kayode, Friday Oghenerukevwe Obarhua, Oluwatoyin Christiana Osuntope
This article considered the development of a two-point hybrid method for the numerical solution of initial value problems of second order ordinary differential Equations (ODEs) using power series and exponentially-fitted basis function. Interpolation and collocation techniques were used to derive the method. The method was implemented in predictor-corrector mode. In order to increase the accuracy of the results of the method, the predictor was designed to have same order of accuracy as the corre...
Open Access Library J.   Vol.10, 2023

Apr 24, 2022Open    Access

Numerical Investigation on the Acceleration Vibration Response of Linear Actuator

Reza Hassanian, Morris Riedel, Nashmin Yeganeh
This study is aimed to investigate the acceleration response of the non-commutated Direct Current (DC) linear actuator in a numerical approach. The linear actuator is often driven with the specified wave digital signal processing (DSP), which gets forced vibration. The acceleration response of the actuator matters because it is related to vibration intensity. As well, the experiments and technical datasheets report that after the resonance frequency, the acceleration decreased, and the vibration...
Open Access Library J.   Vol.9, 2022

Aug 19, 2021Open    Access

The Effect of the Axisymmetric and Non-Axisymmetric Ambient Field on the Magnetic Field of Planets

Alhashmi Ali Darah, Omran Moftah Trifis
At least a minority of planets, moons and other bodies exist within significant external astrophysical fields. The ambient field problem is more relevant to these bodies than the classical dynamo problem, but remains relatively little studied. This paper will concern with the effect of axisymmetric and non-axi- symmetric ambient field on a spherical, axisymmetric dynamo model, through nonlinear calculations with α-quenching feedback. Ambient fields of varying strengths are imposed in the model. ...
Open Access Library J.   Vol.8, 2021

May 20, 2021Open    Access

Certain m-Convexity Inequalities Related to Fractional Integrals with Exponential Kernels

Hao Wang, Zhijuan Wu
In this paper, we establish some mid-point type and trapezoid type inequalities via a new class of fractional integral operators which is introduced by Ahmad et al. We derive a new fractional-type integral identity to obtain Dragomir-Agarwal inequality for m-convex mappings. Moreover, some inequalities of Hermite-Hadamard type for m-convex mappings are given related to fractional integrals with exponential kernels. The results presented provide extensions of those given in earlier works.
Open Access Library J.   Vol.8, 2021

Feb 26, 2021Open    Access

Power and Chebyshev Series Transformation Formulas with Applications to Solving Ordinary Differential Equations via the Fröbenius and Taylor’s methods

Hippolyte Nyengeri, Rénovat Nizigiyimana, Jean-Pierre Mutankana, Henry Bayaga, Ferdinand Bayubahe
In this paper, we present formulas that turn finite power series into series of shifted Chebyshev polynomials of the first kind. Thereafter, we derive formulas for coefficients of economized power series obtained by truncating the resulting Chebyshev series. To illustrate the utility of our formulas, we apply them to the solution of first order ordinary differential equations via Taylor methods and to solving the Schrödinger equation (SE) for a spherically symmetric hyperbolic potential via...
Open Access Library J.   Vol.8, 2021

Sep 29, 2020Open    Access

Generalized Hermite-Hadamard Type Inequalities Related to Katugampola Fractional Integrals

Hao Wang
In this paper, we have established a new identity related to Katugampola fractional integrals which generalize the results given by Topul et al. and Sarikaya and Budak. To obtain our main results, we assume that the absolute value of the derivative of the considered function is p-convex. We derive several parameterized generalized Hermite-Hadamard inequalities by using the obtained equation. More new inequalities can be presented by taking special parameter values for , and p. Also, we provide...
Open Access Library J.   Vol.7, 2020

Aug 28, 2020Open    Access

A Thematic Analysis on Vedic Mathematics and Its Importance

Sher Singh Raikhola, Dinesh Panthi, Eka Ratna Acharya, Kanhaiya Jha
Vedic mathematics is found to be very effective and sound for mental calculations in mathematics. Sutras and sub sutras have beautiful and striking tricks for fast and easy for mathematical calculations. In this article, we explore on importance of Vedic Mathematics with thematic analysis. Vedic Math provides more systematic, simplified, unified and faster than the conventional system. A significant and interesting invention which has led to various applications in all the disciplines is the dev...
Open Access Library J.   Vol.7, 2020

Aug 18, 2020Open    Access

Successive Approximation Method for Solving Wu-Zhang Systems of (1 1) Dimensional

Abdulghafor M. Al-Rozbayani, Abdulbaset H. Shammar
In this section the Successive approximate method (S.A.M) introduced for solving the Wu-Zhang systems, a (1 1)-dimensional nonlinear dispersive wave equation, this method shows us that the technique provided without disorder, in this model of convergence power series with a simple calculated ingredients and gives effective results.
Open Access Library J.   Vol.7, 2020

Jul 23, 2020Open    Access

Application of the Economization of Power Series to Solving the Schrödinger Equation for the Gaussian Potential via the Asymptotic Iteration Method

Hippolyte Nyengeri, Benoit Manariyo, Rénovat Nizigiyimana, Salomon Mugisha
This paper presents economized power series for the Gaussian function. The economization is accomplished by utilizing the “usual” and the “shifted” Chebyshev polynomials of the first kind. The resulting economized series are applied to the solution of the radial Schrödinger equation with the attractive Gaussian potential via the asymptotic iteration method (AIM). The obtained bound state energies are compared with those given by the same method when the Taylor expansion is used to approxima...
Open Access Library J.   Vol.7, 2020


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