Genocchi collocation method for accurate solution of nonlinear fractional differential equations with error analysis

M El-Gamel, N Mohamed, W Adel - Mathematical Modelling and …, 2023 - dergipark.org.tr
In this study, we introduce an innovative fractional Genocchi collocation method for solving
nonlinear fractional differential equations, which have significant applications in science and …

Kinks and soliton solutions to the coupled Burgers equation by Lie symmetry approach

DV Tanwar, R Kumar - Physica Scripta, 2024 - iopscience.iop.org
The current research employs a novel class of invariant solutions to Painlevé integrable
coupled Burgers equations. Many mathematical physics domains such as fluid dynamics …

[HTML][HTML] Groundwater pollution equation: Lie's symmetry analysis and numerical consideration

AF Aljohani, A Alsisi, S Althobaiti, AM Nass… - … Differential Equations in …, 2024 - Elsevier
The current study modeled groundwater pollution through the utilization of the advection–
diffusion equation-a versatile differential equation that is capable of modeling a variety of …

Semi-analytical approach for the approximate solution of Harry Dym and Rosenau–Hyman equations of fractional order

M Nagaraja, HB Chethan, TR Shivamurthy… - Research in …, 2024 - Taylor & Francis
The primary goal of this article is to examine the time fractional Harry Dym and Rosenau–
Hyman equation in terms of the Caputo-fractional operator by utilizing an efficient technique …

[PDF][PDF] Partial Differential Equations in Applied Mathematics

AF Aljohani, A Alsisi, S Althobaiti, AM Nass… - researchgate.net
The current study modeled groundwater pollution through the utilization of the advection–
diffusion equation-a versatile differential equation that is capable of modeling a variety of …