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193 articles
121
Research Article DOI: 10.67897/njma.2017.i3jzjfwt

Numerical Integration of Seventh order Boundary Value Problems by Standard Collocation Method via Four Orthogonal Polynomials

K. A. Bello*, O. A. Taiwo, A. Abdulkareem, J. U. Abubakar, F. A. Adebisi

Based on standard collocation technique, four (4) different orthogonal polynomials were used as basis functions in the numerical treatment of seventh (7th) order boundary value problems in Ordinary Differential Equations. The perfor mance of each of these polynomials as basis function in the trial solution was then compared. The results obtained from three examples showed that Chebyshev polynomial...

Sep, 2017 pp. 113−127 14 views 9 downloads
122
Research Article DOI: 10.67897/njma.2018.ua2ty8lo

Department of Mathematical Sciences, Olabisi Onabanjo University, Ago-Iwoye, Nigeria

K. I. Apanpa*, Kamilu RAUF, L. Aminu

Integral inequality plays a big role in the study of differential,integral and partial differential equations. Gronwall inequalityis an important tool to obtain various estimates in the theoryof ordinary and stochastic differential equations. In this work,extension of Gronwall-Bellman-type inequalities are obtained.

Jun, 2018 pp. 116-131 5 views 4 downloads
123
Research Article DOI: 10.67897/njma.2022.4rcm0i4v

Malicious PDF Detection Using Support Vector Machine

G. B. Balogun*, P. F. Adinoyi, J. B. Awotunde, M. Abdulraheem, I. D. Oladipo

The aim of this study is to develop a system that can detect and classify the Portable Document Format (PDF) as malware or benign document based on its features, using the Support Vector Machine (SVM) as an underlying model. Based on feature extraction and the Support Vector Machine technique, a method is proposed for efficiently detecting PDFs with harmful payloads. It was proved in this study th...

Jun, 2022 pp. 117-135 10 views 2 downloads
125
Research Article DOI: 10.67897/njma.2022.ik5tsfsb

A Zero-Stable Numerical Model as First, Second, and Third-Order Initial Value Problems Solver

Emmanuel Oluseye Adeyefa*, Oladapo Olakunle Kazeem

This paper addresses solutions of multi-order ordinary differential equations (ODEs) using a single formulated scheme. The use of a block method to solve initial value problem of a specific order has attracted a lot of attention in the literature. The discrete method is formulated from continuous schemes obtained via collocation and interpolation techniques and applied in a block-by-block manner a...

Dec, 2022 pp. 120-128 4 views 2 downloads
126
Research Article DOI: 10.67897/njma.2020.95iq705v

On Jacobi Spectral Polynomials and Evaluation of Definite Integrals

Richard Olu Awonusika*

In this paper, we construct a new class of spectral polynomials associated with the product P(α,β;γ,δ) k,m := P(α,β) k × P(γ,δ) m  (k, m ≥ 0; α,β,γ,δ > −1), where P(ν,µ) j are the normalised Jacobi polynomials with j ≥ 0;ν,µ > −1. These spectral polynomials are then used to evaluate certain definite integrals involving the combination of logarithmic, exponential and trigonometric functions. These ...

Aug, 2020 pp. 121−138 10 views 6 downloads
127
Research Article DOI: 10.67897/njma.2016.eu9qus28

Variation Iteration Decomposition Method for the Numerical Solution of Integro-Di erential Equations

Ignatius N. Njoseh*, Ebimene J. Mamadu

This paper seeks the numerical solution of integro-differential equations via the variation iteration decomposition method (VIDM). The mode of convergence of this method as applied toIntegro-differential equations is determined by the step-size parameter, h. The approximate solution converges for h  105+n where n is the number of iterations. Similarly, the method requires no discretization, linea...

Jun, 2016 pp. 122-130 4 views 4 downloads
128
Research Article DOI: 10.67897/njma.2019.lfg0651u

Determination of Consistent Performance of Lax-Friedrichs Method in Solving Seepage Problem

F. D. Bakare*, I. O. Abiala, J. S. Aroloye

We developed a consistent Lax-Friedrichs method for numerical solution of the seepage problem subject to some initial and boundary conditions. We also compared the result obtained using numerical method (Lax-Friedrichs) with the result obtained using Alternating Direction Implicit finite difference method (ADIS). The scheme developed was found to be stable for φ < 1, and unstable for φ ≥ 1. Since ...

Apr, 2019 pp. 125−145 13 views 4 downloads
129
Research Article DOI: 10.67897/njma.2017.057v9zwa

Investigating the Effect of Damping Coefficients on Euler-Bernoulli Beam Subjected to Partially Distributed Moving Load

M. A. Usman*, B. T. Ogunsan, S. T. Okusaga, O. O. Solanke

In this paper, the effect of damping coefficients on Euler Bernoulli Beam subjected to distributed load is studied. The partial differential equation of order five was transformed to ordinary differential equation of order two using finite fourier sine transform. Finite difference method was used to solve the resulting differential equation of order two. It was found that the amplitude decreases a...

Sep, 2017 pp. 128−137 12 views 4 downloads
130
Research Article DOI: 10.67897/njma.2015.tjr0akj1

APPLICATION OF HOMOTOPY PERTURBATION METHOD (HPM) FOR THE SOLUTION OF NANOFLUIDS OVER A POROUS STRETCHING SURFACE

U. Mohammed*, A. A. Mohammed, A. I. Ma’ali, E. O. Titiloye

In this study, by means of homotopy perturbation method (HPM) and sixth order Runge-Kutta method an approximate analytical and numerical solutions of the of viscous ag-water and Cu-water nanofluids over a porous stretching surface is obtained. Graphical results are presented to investigate the influence of the nanoparticles volume fraction parameter and suction/injection parameter on the velocity ...

Dec, 2015 pp. 128−136 9 views 4 downloads