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On Generalized Bigollo Numbers

Yüksel Soykan, Inci Okumus & Nazmiye Gönül Bilgin · Asian Research Journal of Mathematics · 2023

It is aimed to describe generalized Bigollo sequences and to examine Bigollo and Bigollo-Lucas sequences in this article. For this purpose, we give Binet’s formulas, Simson formulas, generating functions and we introduce a lot of main features of these sequences. Also, we get som...

Open access Research Article 10.9734/arjom/2023/v19i8690

Exponentiated Power Lindley-Logarithmic Distribution and its Applications

Abuh Musa, Sidney I. Onyeagu & Okechukwu J. Obulezi · Asian Research Journal of Mathematics · 2023

This article proposes a new distribution call the Exponentiated Power Lindley-Logarithmic Distribution for modeling real life data. The distribution is motivated by the Exponentiated Power Lindley distribution. The quantile function is derived and the Maximum likelihood estimates...

Open access Research Article 10.9734/arjom/2023/v19i8686

Vibration Study of Rotating Rigid Hub and a Flexible Composite Beam under Simultaneous Primary-internal Resonance

M. Kamel, H. El-Gohary, H. M. Shawky & H. Mosaa · Asian Research Journal of Mathematics · 2023

In this paper, the vibration of a composite system consisting of a rotating rigid hub and a flexible thin-walled beam is considered and studied. The equation of motion is derived in the previous work of Warminski and Latalski. The method of multiple scale technique has been appli...

Open access Research Article 10.9734/arjom/2023/v19i8685

Mathematical Analysis of HPV and Cervical Cancer Model in the Presence of Protection

Jacinta M. Mutwiwa & Samuel B. Apima · Asian Research Journal of Mathematics · 2023

Human papilloma Virus (HPV) is the primary infection that causes Cervical cancer. Due to the high cost of treatment for cervical cancer, protection against HPV and Cervical cancer infection may be preferable in a scarce resource settings. In this paper, a deterministic model that...

Open access Research Article 10.9734/arjom/2023/v19i8683

A Numerical Approximation on Black-Scholes Equation of Option Pricing

Onugu, Christain, Davies, Iyai & Amad, Innocent Uchenna · Asian Research Journal of Mathematics · 2023

This paper considered the notion of European option which is geared towards solving analytical and numerical solutions. In particular, we examined the Black-Scholes closed form solution and modified Black-Scholes (MBS) partial differential equation using Crank-Nicolson finite dif...

Open access Research Article 10.9734/arjom/2023/v19i7682

The Impact of Fourier Series Expansion on the Analysis of Asset Value Function and its Return Rates for Capital Markets

Loko, Onewunmi Perelah, Davies, Iyai & Amadi, Innocent Uchenna · Asian Research Journal of Mathematics · 2023

The effect of Fourier series expansion on the solution of Stochastic Differential Equation (SDE) is considered herein. The detailed measures which govern price function of return rate for capital investments are obtained periodically. Sufficient conditions of stating mathematical...

Open access Research Article 10.9734/arjom/2023/v19i7681

Ethnomathematics as an Exploration of Cultural Mathematical Concepts in Traditional Indonesian Engklek Games

Yuan Anisa, Rizka Fahruza Siregar & Muhammad Hafiz · Asian Research Journal of Mathematics · 2023

Culture and mathematics are a unified whole. This can be seen from the culture in Indonesia, which is very diverse, ranging from traditional houses, traditional ceremonies, traditional clothes, traditional musical instruments, traditional games, regional dances, folk songs, place...

Open access Research Article 10.9734/arjom/2023/v19i7680

An Error Analysis of Implicit Finite Difference Method with Mamadu-Njoseh Basis Functions for Time Fractional Telegraph Equation

E. J. Mamadu, H. I. Ojarikre & I. N. Njoseh · Asian Research Journal of Mathematics · 2023

In this paper, we proposed and analyzed the error estimate of an implicit finite difference method with Mamadu-Njoseh as basis functions for time fractional telegraph equation. To enhance the efficacy of the method we first transform the Caputo type fractional derivative into Rie...

Open access Research Article 10.9734/arjom/2023/v19i7675