Numerical and analytical investigations for solution of fractional Gilson–Pickering equation arising in plasma physics
This paper deals with the numerical solution of the time-fractional Gilson–Pickering equation
using the Kansa method, in which the multiquadrics were utilized as the radial basis …
using the Kansa method, in which the multiquadrics were utilized as the radial basis …
Exploring new traveling wave solutions by solving the nonlinear space–time fractal Fornberg− Whitham equation
A Nazari-Golshan - Scientific Reports, 2024 - nature.com
Complex and nonlinear fractal equations are ubiquitous in natural phenomena. This
research employs the fractal Euler− Lagrange and semi-inverse methods to derive the …
research employs the fractal Euler− Lagrange and semi-inverse methods to derive the …
Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic B-splines
R Choudhary, D Kumar - International Journal of Computer …, 2023 - Taylor & Francis
A numerical scheme is developed to solve the time-fractional linear Kuramoto-Sivahinsky
equation in this work. The time-fractional derivative (of order γ) is taken in the Caputo sense …
equation in this work. The time-fractional derivative (of order γ) is taken in the Caputo sense …
Modified Atangana–Baleanu Caputo Operator for Time-Fractional Kuramoto–Sivashinsky Equation Via Quintic B-Splines
A novel numerical scheme for the time-fractional Kuramoto–Sivashinsky equation is
presented in this article. A modification of the Atangana–Baleanu Caputo derivative known …
presented in this article. A modification of the Atangana–Baleanu Caputo derivative known …
Solving Nonlinear Fractional PDEs with Applications to Physics and Engineering Using the Laplace Residual Power Series Method
The Laplace residual power series (LRPS) method uses the Caputo fractional derivative
definition to solve nonlinear fractional partial differential equations. This technique has been …
definition to solve nonlinear fractional partial differential equations. This technique has been …
Oblique propagation of nonlinear solitary structures in electron positron ion plasmas under the influence of quantizing magnetic field
S Hussain, N Imtiaz, H Hasnain - Plasma Research Express, 2020 - iopscience.iop.org
We study the propagation properties of the small amplitude nonlinear ion acoustic solitary
structure in dense electron-position-ion (epi) plasmas. We consider an oblique propagation …
structure in dense electron-position-ion (epi) plasmas. We consider an oblique propagation …
Positron nonextensivity effect on the propagation of dust ion acoustic Gardner waves
Propagation of dust ion-acoustic (DIA) Gardner wave in a dusty electron–positron–ion (e–p–
i) plasma is investigated. This plasma consists of q-distributed electrons and positrons, warm …
i) plasma is investigated. This plasma consists of q-distributed electrons and positrons, warm …