[HTML][HTML] Simulations of the one and two dimensional nonlinear evolutionary partial differential equations: a numerical study

A Ghafoor, S Sardar, A Ullah, M Hussain, H Ahmad… - Results in Physics, 2023 - Elsevier
In this work a hybrid scheme is proposed for the numerical study of various evolutionary
partial differential equations (EPDEs). In proposed strategy, temporal derivatives are …

Soliton Solution of the Nonlinear Time Fractional Equations: Comprehensive Methods to Solve Physical Models

D O'regan, SR Aderyani, R Saadati, M Inc - Axioms, 2024 - mdpi.com
In this paper, we apply two different methods, namely, the G′ G-expansion method and the
G′ G 2-expansion method to investigate the nonlinear time fractional Harry Dym equation …

[PDF][PDF] 2D flow of Casson fluid with nonuniform heat source/sink and Joule heating

EK Ghiasi, R Saleh - Frontiers in Heat and Mass Transfer, 2019 - researchgate.net
In this letter, two-dimensional magnetohydrodynamic (MHD) flow of Casson fluid over a fixed
plate under non-uniform heat source/sink and Joule heating is analyzed by the homotopy …

Exact solutions of the Harry Dym Equation using Lie group method

MA Assabaai, OF Mukherij - … of Aden Journal of Natural and …, 2020 - uajnas.adenuniv.com
Exact solutions of the Harry Dym Equation using Lie group method Page 1 Exact solutions of
the Harry Dym Equation using …Mobarek A. Assabaai, Omer F. Mukherij 487 Univ. Aden J …

Numerical solution of the Harry Dym equation using Chebyshev spectral method via Lie group method

MA Assabaai - Journal of Physics: Conference Series, 2021 - iopscience.iop.org
This study represents the solution of the Harry Dym equation (HDE) that was calculated
using the Lie symmetry group method. This method transforms the controlled partial …

Approximate solutions of the fractional Harry Dym equation.

S ÇULHA ÜNAL - Sigma: Journal of Engineering & Natural …, 2024 - search.ebscohost.com
In this paper, the approximate solutions of the time fractional Harry Dym equation with
fractional derivative in the Caputo sense are obtained by using the Residual power series …

Homotopy analysis method for oscillatory systems with cubic and trigonometric non-linearity

SJ Patil, ARV Kashyap, KM Kolwankar - … , and Astrophysics: CMNA 2018 …, 2021 - Springer
Analytical solutions to nonlinear oscillating systems cannot be represented without the help
of special functions or they can be studied only using numerical techniques. We have …

[PDF][PDF] Approximate solutions of the fractional harry DYM equation

SÇ ÜNAL - pdfs.semanticscholar.org
In this paper, the approximate solutions of the time fractional Harry Dym equation with
fractional derivative in the Caputo sense are obtained by using the Residual power series …

[PDF][PDF] Homotopy-based approach applied to magnetohydrodynamic Pohlhausen flow

EK Ghiasi, R Saleh - researchgate.net
Pohlhausen flow over a wall subjected to magnetic field. To this aim, the governing equation
is solved via the homotopy-based approach. Then, a convergence and parametric study is …

[引用][C] 2D flow of Casson fluid with non-uniform heat source/sink and Joule heating

E Khoshrouye Ghiasi, R Saleh - Frontiers in Heat and Mass Transfer (FHMT), 2018