Bernoulli wavelets functional matrix technique for a system of nonlinear singular Lane Emden equations

S Kumbinarasaiah, G Manohara… - … and Computers in …, 2023 - Elsevier
In the present paper, we developed the functional matrix of integration via Bernoulli wavelets
and generated a competent numerical scheme to solve the nonlinear system of singular …

[HTML][HTML] Modified Bernoulli wavelets functional matrix approach for the HIV infection of CD4+ T cells model

S Kumbinarasaiah, G Manohara - Results in Control and Optimization, 2023 - Elsevier
In this study, we generated a novel functional matrix using Bernoulli wavelets. Also, we
developed a novel technique called the Bernoulli wavelets collocation method to obtain …

A fast Fibonacci wavelet-based numerical algorithm for the solution of HIV-infected cells model

Vivek, M Kumar, SN Mishra - The European Physical Journal Plus, 2023 - Springer
In this article, we present a novel approach under the Fibonacci wavelet and collocation
technique which is computationally efficient to obtain the solution of the model of CD4+ T …

[HTML][HTML] Spreading behavior of biological SIR system of a COVID-19 disease through a fast Taylor wavelet based numerical algorithm

M Kumar - Results in Control and Optimization, 2023 - Elsevier
In this paper, we provide a unique, cost-effective numerical method for solving the SIR
model of a COVID-19 disease using the method of Taylor wavelets and collocation …

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 …

Fibonacci wavelet collocation method for the numerical approximation of fractional order Brusselator chemical model

G Manohara, S Kumbinarasaiah - Journal of Mathematical Chemistry, 2024 - Springer
This research study's primary goal is to create an efficient wavelet collocation technique to
resolve a kind of nonlinear fractional order systems of ordinary differential equations that …

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 …

Fibonacci wavelets-based numerical method for solving fractional order (1+ 1)-dimensional dispersive partial differential equation

S Kumbinarasaiah, M Mulimani - International Journal of Dynamics and …, 2023 - Springer
In this study, third-order fractional (1+ 1)-dimensional dispersive partial differential equations
are numerically solved using the generalized fractional-order Fibonacci wavelet functions …

Application of Hermite wavelet method for heat transfer in a porous media

Y Vinod, KR Raghunatha - Heat Transfer, 2023 - Wiley Online Library
In this article, the flow and heat transfer for non‐Newtonian viscoelastic fluid in an
axisymmetric channel with a porous wall is investigated. Convective boundary conditions …

Bernoulli wavelets numerical approach for the nonlinear Klein–Gordon and Benjamin–Bona–Mahony equation

S Kumbinarasaiah, M Mulimani - International Journal of Applied and …, 2023 - Springer
The paper is concerned with different classes of partial differential equations (PDEs), such
as nonlinear Benjamin–Bona–Mahony and Klein–Gordon equations with variable …