[HTML][HTML] Unveiling Research Trends: A Decade-long Analysis of Academic Research (2013-2024)

M Nilashi - Journal of Soft Computing and Decision Support …, 2023 - jscdss.com
This work analyzes papers published between 2013 and 2024, as reported by the Scopus
database. The examination focuses on my collaborative contributions within this timeframe …

Approximate Analytical Solution for the Forced Korteweg‐de Vries Equation

VD David, M Nazari, V Barati, F Salah… - Journal of Applied …, 2013 - Wiley Online Library
The forced Korteweg‐de Vries (fKdV) equations are solved using Homotopy Analysis
Method (HAM). HAM is an approximate analytical technique which provides a novel way to …

[HTML][HTML] Analytical approximate solutions for nonplanar Burgers equations by weighted residual method

H Demiray, ER El-Zahar - Results in Physics, 2020 - Elsevier
In this work, analytical approximate progressive wave solutions for the generalized form of
the nonplanar KdV-Burgers (KdV-B) and mKdV-Burgers (mKdV-B) equations are presented …

Analytical approximate solution for the forced Korteweg-de Vries (FKdV) on critical flow over a hole using homotopy analysis method

VD David, ZA Aziz, F Salah - Jurnal Teknologi (Sciences & …, 2016 - journals.utm.my
Free surface flows in a two-dimensional channel past over a hole is studied using shallow
water forced Korteweg-de Vries (fKdV) equation. The forcing term of fKdV equation …

Heat and Mass Transfer of Magnetohydrodynamics (MHD) Boundary Layer Flow using Homotopy Analysis Method

NL Nazari, AS Abd Aziz, VD David, ZM Ali - Matematika, 2018 - matematika.utm.my
Heat and mass transfer of MHD boundary-layer flow of a viscous incompressible fluid over
an exponentially stretching sheet in the presence of radiation is investigated. The two …

A meshless method using radial basis functions for numerical solution of the two-dimensional KdV-Burgers equation

F Zabihi, M Saffarian - The European Physical Journal Plus, 2016 - Springer
The aim of this article is to obtain the numerical solution of the two-dimensional KdV-Burgers
equation. We construct the solution by using a different approach, that is based on using …

Analytic and Numerical Solutions to Nonlinear Partial Differential Equations in Biomechanics

AC Felias, KC Kyriakoudi, KN Mpiraki… - Analysis, Geometry …, 2023 - World Scientific
In recent years, much attention from a rather diverse group of scientists, including physicists,
engineers and applied mathematicians, has been attracted to two contrasting research …

Transcritical Flow Over a Bump using Forced Korteweg-de Vries Equation

VD David, A Bahar, ZA Aziz - Matematika, 2018 - matematika.utm.my
The flow of water over an obstacle is a fundamental problem in fluid mechanics. Transcritical
flow means the wave phenomenon near the exact criticality. The transcritical flow cannot be …

A hybrid solution approach to the Korteweg-de Vries and Burgers' equations

K Shah, H Patel - Mathematica Applicanda, 2021 - yadda.icm.edu.pl
The primary purpose of this paper is to analyze the application of a new integral transform
together with a homotopy perturbation method to construct approximate solutions of the …

On Accelerated Flows of Magnetohydrodynamic Third Grade Fluid in a Porous Medium and Rotating Frame via a Homotopy Analysis Method

M Nazari, ZA Aziz, F Salah - Journal of Porous Media, 2014 - dl.begellhouse.com
This work generates approximate analytic solutions of the unsteady state of rotating
magnetohydrodynamic (MHD) flow of a third grade fluid past a rigid plate in a porous …