Numerical approximation of fractional SEIR epidemic model of measles and smoking model by using Fibonacci wavelets operational matrix approach

G Manohara, S Kumbinarasaiah - Mathematics and Computers in …, 2024 - Elsevier
In the present article, we have considered two essential models (The epidemic model of
measles and the smoking model). Across the globe, the primary cause of health problems is …

Numerical solution of some stiff systems arising in chemistry via Taylor wavelet collocation method

G Manohara, S Kumbinarasaiah - Journal of Mathematical Chemistry, 2024 - Springer
This paper presents the innovative Taylor wavelet collocation method (TWCM) for the stiff
systems arising in chemical reactions. In this technique, first, we generated the functional …

Solution of linear and nonlinear singular value problems using operational matrix of integration of Fibonacci wavelets

Vivek, M Kumar - Journal of Engineering Mathematics, 2024 - Springer
This article introduces a proficient method for solving both linear and nonlinear second-
order singular value differential equations within the framework of Fibonacci wavelets and …

Study of the spreading behavior of the biological SIR Model of COVID-19 disease through a fast fibonacci wavelet-based computational approach

Vivek, M Kumar, SN Mishra - International Journal of Applied and …, 2024 - Springer
In this article, we introduce an innovative methodology based on the Fibonacci wavelet and
collocation technique for solving the susceptible–infectious–recovered (SIR) model of …

[HTML][HTML] Application of fibonacci wavelet frame operational matrix for the analysis of arrhenius-controlled heat transfer flow in a microchannel

B Souayeh, S Bhattacharya - Case Studies in Thermal Engineering, 2024 - Elsevier
The effects of free convective Arrhenius-controlled heat transfer fluid in a microchannel
encased by two parallel vertical plates has been examined in the current work. A new …

An innovative Fibonacci wavelet collocation method for the numerical approximation of Emden-Fowler equations

G Manohara, S Kumbinarasaiah - Applied Numerical Mathematics, 2024 - Elsevier
This article presents a novel approach using the Fibonacci wavelet collocation method
(FWCM) for the numerical solution of Emden-Fowler-type equations. The Emden-Fowler …

A study of renewed fractional-order cattle skin disease model by the Gegenbauer wavelet collocation method

G Manohara, S Kumbinarasaiah - International Journal of Dynamics and …, 2025 - Springer
In disease epidemiology, mathematical models are crucial for studying disease dynamics
and developing, evaluating, and recommending the most effective disease control …

Modified simple equation technique for first-extended fifth-order nonlinear equation, medium equal width equation and Caudrey–Dodd–Gibbon equation

AKMKS Hossain, MA Akbar, MI Hossain - … of Umm Al-Qura University for …, 2024 - Springer
In order to figure out the interior construction and intricacy of nonlinear physical events in the
real world, exact solutions and traveling wave solutions of the nonlinear equations are very …

Numerical approximation of the typhoid disease model via Genocchi wavelet collocation method

G Manohara, S Kumbinarasaiah - Journal of Umm Al-Qura University for …, 2024 - Springer
In this paper, we have considered the fractional typhoid disease model and obtained the
numerical approximation of the model via the innovative wavelet scheme called the …