An efficient numerical method for fractional SIR epidemic model of infectious disease by using Bernstein wavelets

S Kumar, A Ahmadian, R Kumar, D Kumar, J Singh… - Mathematics, 2020 - mdpi.com
In this paper, the operational matrix based on Bernstein wavelets is presented for solving
fractional SIR model with unknown parameters. The SIR model is a system of differential …

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 …

Numerical solutions of the mathematical models on the digestive system and covid-19 pandemic by hermite wavelet technique

K Srinivasa, HM Baskonus, Y Guerrero Sánchez - Symmetry, 2021 - mdpi.com
This article developed a functional integration matrix via the Hermite wavelets and proposed
a novel technique called the Hermite wavelet collocation method (HWM). Here, we studied …

A novel scheme for the hyperbolic partial differential equation through Fibonacci wavelets

S Kumbinarasaiah, M Mulimani - Journal of Taibah University for …, 2022 - Taylor & Francis
In this study, we generated the operational matrices of integration based on the Fibonacci
wavelets through the concept of linear algebra and developed the novel technique known …

Numerical solution of the Jeffery–Hamel flow through the wavelet technique

S Kumbinarasaiah, KR Raghunatha - Heat Transfer, 2022 - Wiley Online Library
The theory of viscous fluid flow through convergent and divergent channels has many
applications in chemical, aerospace, civil, biomechanical, mechanical, and environmental …

[HTML][HTML] Hermite wavelet method for solving nonlinear Rosenau–Hyman equation

S Kumbinarasaiah, W Adel - Partial Differential Equations in Applied …, 2021 - Elsevier
In this paper, we present an approximate solution for solving the nonlinear Rosenau–Hyman
equation. The method is based on adapting the wavelet technique accompanied with the …

[PDF][PDF] An efficient numerical scheme for biological models in the frame of Bernoulli wavelets

F Li, HM Baskonus, S Kumbinarasaiah… - … Model Eng Sci, 2023 - cdn.techscience.cn
This article considers three types of biological systems: the dengue fever disease model, the
COVID-19 virus model, and the transmission of Tuberculosis model. The new technique of …

A solution of coupled nonlinear differential equations arising in a rotating micropolar nanofluid flow system by Hermite wavelet technique

S Kumbinarasaiah, KR Raghunatha… - Engineering with …, 2022 - Springer
In this article, the two-dimensional micropolar rotating nanofluid between two parallel plates
under Hall's influence can be solved using the Hermite wavelet technique (HWT). The …

[HTML][HTML] The applications of Hermite wavelet method to nonlinear differential equations arising in heat transfer

S Kumbinarasaiah, KR Raghunatha - International Journal of Thermofluids, 2021 - Elsevier
Heat transfer problems are of critical importance in almost all areas of engineering and
technology, especially in mechanical engineering. Over several decades, engineers and …

Unsteady Casson fluid flow on MHD with an internal heat source

KR Raghunatha, Y Vinod… - Journal of Taibah …, 2023 - Taylor & Francis
The present paper investigates the heat transfer features of a viscous fluid in an unsteady
incompressible Casson fluid flow through a porous medium with an internal heat source …