Coupled Lie symmetry reductions and Physics-Informed Neural Network validation for flow and heat transfer in Maxwell liquid film
September 01, 2026
International Communications in Heat and Mass Transfer - Volume 178, Part 1, Article Number 111586
Enhancing structural coupling: A frequency-based methodology for optimal interface expansion
August 04, 2026
Journal of Sound and Vibration - Volume 635, Article Number 119782
Lie similarity homotopic solutions for flow and heat transfer in thin film on an unsteady stretching sheet with viscous dissipation
March 01, 2026
International Communications in Heat and Mass Transfer - Volume 172, Part 6, Article Number 110720
Thermo-economic evaluation of working fluids for a flue gas driven organic Rankine cycle powered vapor compression cycle for cooling air conditioning using a two-step intermediate performance index
January 01, 2026
Energy Conversion and Management - Volume:347, Article Number:120541
Lie reduced order modeling of unsteady thermosolutal Marangoni magnetohydrodynamic convection conjoined with chemical reaction and heat generation
November 01, 2025
Results in Physics - Volume:78, Article Number 108492
Lie symmetries in nonlinear liquid film flow with heat and mass transfer and variable magnetic field
October 27, 2025
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY - Pages:21
Lie equivalence transformations and differential invariants for a generalized third-order Schrödinger partial differential equation with variable coefficients using real decomposition
January 15, 2025
Analytical Methods in Differential Equations - Pages 14-21
Lie-symmetry analysis of a three dimensional flow due to unsteady stretching of a flat surface with non-uniform temperature distribution
January 01, 2025
Alexandria Engineering Journal - Volume 112, January 2025, Pages 424-435
An End-to-End Approach to Detect Railway Track Defects based on Supervised and Self-Supervised Learning
December 01, 2024
Results in Engineering - In Press
Urban traffic signal control optimization through Deep Q Learning and double Deep Q Learning: a novel approach for efficient traffic management
August 27, 2024
Multimedia Tools and Applications - Pages 1-24
Generalised Lie similarity transformations for the unsteady flow and heat transfer under the influence of internal heating and thermal radiation
December 09, 2023
Pramana-Journal of Physics - Volume:97, Issue:4, Article Number: 203,
Comparative analysis of analytical and numerical approximations for the flow and heat transfer in mixed convection stagnation point flow of Casson fluid
August 04, 2023
Results in Physics - Volume 52, Article Number 106819
Numerical approximations for fluid flow and heat transfer in the boundary layer with radiation through multiple Lie similarity transformations
July 24, 2023
Frontiers in Physics - Volume 11, Article Number 1210827
Heat transfer in MHD thin film flow with concentration using lie point symmetry approach
July 16, 2023
Case Studies in Thermal Engineering - Volume 49, Article Number 103238
Analytical Solutions for Unsteady Thin Film Flow with Internal Heating and Radiation
May 12, 2023
Journal of Mathematics - Volume 2023 | Article ID 5612023
Multiple Lie symmetry solutions for effects of viscous on magnetohydrodynamic flow and heat transfer in non-Newtonian thin film
May 10, 2023
Open Physics - Volume 21, Issue 1, Pages 1-14
Analytic similarity solutions for fully resolved unsteady laminar boundary layer flow and heat transfer in the presence of radiation
April 01, 2023
Heliyon - Volume 9, Issue 4, Article Number e14765
Reduce-Order Modeling and Higher Order Numerical Solutions for Unsteady Flow and Heat Transfer in Boundary Layer with Internal Heating
December 07, 2022
Mathematics - Volume 10, Issue 24, Article Number 4640
One-dimensional optimal system of Lie sub-algebra and analytic solutions for a liquid film fluid flow
August 01, 2022
Chinese Journal of Physics - Volume 78, Pages 220-223
Lie symmetry analysis of heat transfer in a liquid film over an unsteady stretching surface with viscous dissipation and external magnetic field
June 13, 2022
Waves in Random and Complex Media - Pages 1-16
Analytic solutions for the MHD flow and heat transfer in a thin liquid film over an unsteady stretching surface with Lie symmetry and homotopy analysis method
May 16, 2022
Waves in Random and Complex Media - Pages 1-19
Construction of similarity transformations and analytic solutions for a liquid film on an unsteady stretching sheet using lie point symmetries
September 01, 2021
Chaos, Solitons and fractals - Volume 150, Article Number 111115
Reduction of systems of two nonlinear parabolic type partial differential equations to solvable forms using differential invariants
September 01, 2021
Chaos, Solitons and Fractals - Volume 150, Article Number 111107
Comparison of Noether Symmetries and First Integrals of Two-Dimensional Systems of Second Order Ordinary Differential Equations by Real and Complex Methods
September 17, 2019
Symmetry - Volume 11, Issue 9
Optimal systems and their group invariants solutions to geodesic equations
September 01, 2019
International Journal of Geometric Methods in Modern Physics - Volume 16, Issue 9, Article Number 1950135
Linearization criteria for two-dimensional systems of third-order ordinary differential equations by complex approach
September 01, 2019
Arabian Journal of Mathematics - Volume 8, Issue 3, Pages 163-170, Part 1
Linearization of Two Dimensional Complex-Linearizable Systems of Second Order Ordinary Differential Equations
January 01, 2015
Applied Mathematical Sciences - Volume 9, No. 58, Pages 2889-2900
Linearization from Complex Lie Point Transformations
November 19, 2014
Journal of Applied Mathematics - Volume 2014, Article ID 793247, 8 pages
Ibragimov-type invariants for a system of two linear parabolic equations
August 02, 2012
Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 8, Pages 3140–3147
Linearizability of Systems of Ordinary Differential Equations Obtained by Complex Symmetry Analysis
October 20, 2011
Mathematical Problems in Engineering - Volume 2011, Article ID 171834, 17 pages
Linearization of systems of four second order ordinary differential equations
September 01, 2011
PRAMANA-journal of physics - Volume 77, Issue 3, Pages 581-594, Special Issue SI