Soliton: A dispersion-less solution with existence and its types

G Arora, R Rani, H Emadifar - Heliyon, 2022 - cell.com
A solitary wave is the dispersion-less solution of nonlinear evolutionary equations that
travels at a constant speed without dissipating its energy. The purpose of this article is to …

Image encryption using spatial nonlinear optics

J Hou, G Situ - elight, 2022 - Springer
Optical technologies have been widely used in information security owing to its parallel and
high-speed processing capability. However, the most critical problem with current optical …

Numerical solutions of nonlinear Schrodinger equation with applications in optical fiber communication

G Arora, R Rani, H Emadifar - Optik, 2022 - Elsevier
Optical soliton is a nonlinear wave with huge information or data which travels over larger
distance in optical fibers. This paramount application of optical soliton forced many …

[HTML][HTML] Numerical simulation of one-dimensional nonlinear Schrodinger equation using PSO with exponential B-spline

R Rani, G Arora, H Emadifar, M Khademi - Alexandria Engineering Journal, 2023 - Elsevier
Particle swarm optimization (PSO) is a widely adopted, rapid, efficient, and computer-friendly
technique for optimization in various fields, including computer science, engineering, and …

Computation of unsteady generalized Couette flow and heat transfer in immiscible dusty and non‐dusty fluids with viscous heating and wall suction effects using a …

RK Chandrawat, V Joshi, O Anwar Bég… - Heat Transfer, 2022 - Wiley Online Library
In this paper, the unsteady flow of two immiscible fluids with heat transfer is studied
numerically with a modified cubic B‐spine Differential Quadrature Method. Generalized …

[HTML][HTML] Numerical approximation of 1D and 2D non-linear Schrödinger equations by implementing modified cubic Hyperbolic B-spline based DQM

M Kapoor, V Joshi - Partial Differential Equations in Applied Mathematics, 2021 - Elsevier
Abstract In present study, Modified Cubic Hyperbolic B-spline Differential Quadrature
Method is constructed for getting the numerical approximations of 1D and 2D non-linear …

Solution of non-linear Fisher's reaction-diffusion equation by using Hyperbolic B-spline based differential quadrature method

M Kapoor, V Joshi - Journal of Physics: Conference Series, 2020 - iopscience.iop.org
In the present paper Hyperbolic B-Spline based Differential Quadrature Method is proposed
to solve the Non-Linear Fisher's Reaction-Diffusion Equation numerically. By using the …

A Numerical study of the unsteady flow of two immiscible micro polar and Newtonian fluids through a horizontal channel using DQM with B-Spline basis function

R Katta, RK Chandrawat, V Joshi - Journal of Physics …, 2020 - iopscience.iop.org
In this paper the differential quadrature method, using cubic B-spline basis function is
applied to get numerical solution for the unsteady flow of two immiscible micro polar and …

[PDF][PDF] Numerical solution of the time-depending flow of immiscible fluids with fuzzy boundary conditions

RK Chandrawat, V Joshi - International Journal of Mathematical …, 2021 - researchgate.net
Fluid flow modeling using fuzzy boundary conditions is one of the viable areas in biofluid
mechanics, drug suspension in pharmacology, as well as in the cytology and …

Numerical solution of one-dimensional nonlinear Sine–Gordon equation using LOOCV with exponential B-spline

R Rani, G Arora, K Bala - Computational and Applied Mathematics, 2024 - Springer
In this paper, the one-dimensional nonlinear Sine–Gordon equation is solved using the
“Exponential modified cubic B-spline differential quadrature method with the leave-one-out …