Artificial neural networks solutions for solving differential equations: A focus and example for flow of viscoelastic fluid with microrotation
Physics-informed neural networks (PINN) are an artificial neural network (ANN) approach for solving differential equations. PINN offers an alternative to classical numerical methods. The paper discusses the applications of PINN in various domains by highlighting the advantages, challenges, limitatio...
| Main Authors: | Abdullah, null, Faye, Ibrahima, Laila Amera, Aziz |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Semarak Ilmu Publishing
2023
|
| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/42899/ http://umpir.ump.edu.my/id/eprint/42899/1/Artificial%20neural%20networks%20solutions%20for%20solving%20differential%20equations.pdf |
Similar Items
Flow of viscoelastic fluid with microrotation at a boundary layer flow of a horizontal circular cylinder
by: Laila Amera, Aziz, et al.
Published: (2022)
by: Laila Amera, Aziz, et al.
Published: (2022)
Flow of viscoelastic fluid with microrotation at a boundary layer flow of a horizontal circular cylinder
by: Laila Amera, Aziz, et al.
Published: (2022)
by: Laila Amera, Aziz, et al.
Published: (2022)
Development on mathematical model of convective boundary layer flow of viscoelastic fluid with microrotation effect under constant wall temperature thermal condition over a bluff body
by: Laila Amera, Aziz, et al.
Published: (2019)
by: Laila Amera, Aziz, et al.
Published: (2019)
Convective boundary layer flow of viscoelastic micropolar fluid over bluff body with aligned magnetic effect
by: Laila Amera, Aziz
Published: (2024)
by: Laila Amera, Aziz
Published: (2024)
Feedforward neural network for solving particular fractional differential equations
by: Admon, Mohd Rashid
Published: (2024)
by: Admon, Mohd Rashid
Published: (2024)
Influence of aligned MHD on convective boundary layer flow of viscoelastic fluid
by: Aziz, Laila Amera, et al.
Published: (2017)
by: Aziz, Laila Amera, et al.
Published: (2017)
An adaptive algorithm for numerically solving fractional partial differential equations using Hermite wavelet artificial neural networks
by: Ali, Amina, et al.
Published: (2024)
by: Ali, Amina, et al.
Published: (2024)
Operational matrix based on orthogonal polynomials and artificial neural networks methods for solving fractal-fractional differential equations
by: Shloof, Aml Melad Asan
Published: (2024)
by: Shloof, Aml Melad Asan
Published: (2024)
Free convection boundary layer flow of viscoelastic micropolar fluid past a horizontal circular cylinder
by: Laila Amera, Aziz, et al.
Published: (2018)
by: Laila Amera, Aziz, et al.
Published: (2018)
Fluid substitution in rocks saturated with viscoelastic fluids
by: Makarynska, Dina, et al.
Published: (2010)
by: Makarynska, Dina, et al.
Published: (2010)
Magnetohydrodynamics effect on convective boundary layer flow and heat transfer of viscoelastic micropolar fluid past a sphere
by: Laila Amera, Aziz, et al.
Published: (2017)
by: Laila Amera, Aziz, et al.
Published: (2017)
A new iterative technique for solving fractal-fractional differential equations based on artificial neural network in the new generalized Caputo sense
by: Shloof, A. M., et al.
Published: (2022)
by: Shloof, A. M., et al.
Published: (2022)
Flow analysis on boundary layer of porous horizontal circular cylinder filled by viscoelastic-micropolar fluid
by: Abdul Rahman, Mohd Kasim, et al.
Published: (2022)
by: Abdul Rahman, Mohd Kasim, et al.
Published: (2022)
Boundary layer flow of mixed convection viscoelastic micropolar fluid over a horizontal circular cylinder with aligned magnetohydrodynamic effect
by: Laila Amera, Aziz, et al.
Published: (2017)
by: Laila Amera, Aziz, et al.
Published: (2017)
Multilayer neural networks enhanced with hybrid methods for solving fractional partial differential equations
by: Ali, Amina Hassan, et al.
Published: (2025)
by: Ali, Amina Hassan, et al.
Published: (2025)
An Improved Training Method For Wavelet Neural Networks For Solving Ordinary And Partial Differential Equations
by: Tan, Lee Sen
Published: (2022)
by: Tan, Lee Sen
Published: (2022)
Parallel block backward differentiation formulas for solving ordinary differential equations.
by: Othman, Khairil Iskandar, et al.
Published: (2008)
by: Othman, Khairil Iskandar, et al.
Published: (2008)
Block backward differentiation formula for solving ordinary and algebraic differential equations
by: Abasi, Naghmeh
Published: (2014)
by: Abasi, Naghmeh
Published: (2014)
Block backward differentiation formulas for solving fuzzy differential equations under generalized differentiability
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2016)
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2016)
Solving matrix differential and integro-differential equations using differential transformation method and convolutions
by: Altun, Omer
Published: (2016)
by: Altun, Omer
Published: (2016)
New computational method for solving ordinary differential equations
by: Hue, Chi San, et al.
Published: (2011)
by: Hue, Chi San, et al.
Published: (2011)
Parallel block method for solving delay differential equations.
by: Ishak, Fuziyah, et al.
Published: (2010)
by: Ishak, Fuziyah, et al.
Published: (2010)
Extended midpoint method for solving fuzzy differential equations
by: Afsharinafar, Reza, et al.
Published: (2012)
by: Afsharinafar, Reza, et al.
Published: (2012)
Numerical methods for solving oscillatory and fuzzy differential equations
by: Dizicheh, Ali Karimi
Published: (2014)
by: Dizicheh, Ali Karimi
Published: (2014)
Parallel Block Methods for Solving Ordinary Differential Equations
by: Abdul Majid, Zanariah
Published: (2004)
by: Abdul Majid, Zanariah
Published: (2004)
Block Multistep Methods for Solving Ordinary Differential Equations
by: Ibrahim, Zarina Bibi
Published: (2006)
by: Ibrahim, Zarina Bibi
Published: (2006)
Solving delay differential equations by an accurate method with interpolation
by: Akgul, Ali, et al.
Published: (2015)
by: Akgul, Ali, et al.
Published: (2015)
New computational method for solving ordinary differential equations
by: Hue, Chi San, et al.
Published: (2011)
by: Hue, Chi San, et al.
Published: (2011)
Derivation of BBDF-α for solving ordinary differential equation
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2015)
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2015)
Solving ordinary differential equations by the Dormand Prince method
by: Ang, Tau Keong, et al.
Published: (2018)
by: Ang, Tau Keong, et al.
Published: (2018)
Efficient schemes on solving fractional integro-differential equations
by: Loh, Jian Rong
Published: (2018)
by: Loh, Jian Rong
Published: (2018)
The phenomenon of water fluid flow distribution in hydropower pico-hydro viewed from the number of turbine screw winding
by: Eswanto, null, et al.
Published: (2024)
by: Eswanto, null, et al.
Published: (2024)
The effects of fluid viscoelasticity on the settling behaviour of horizontally aligned spheres
by: Gumulya, Monica, et al.
Published: (2011)
by: Gumulya, Monica, et al.
Published: (2011)
Non-similarity solutions of non-Newtonian Brinkman–viscoelastic fluid
by: Siti Farah Haryatie, Mohd Kanafiah, et al.
Published: (2022)
by: Siti Farah Haryatie, Mohd Kanafiah, et al.
Published: (2022)
Diagonally implicit block backward differentiation formulas for solving ordinary differential equations
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2012)
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2012)
3-point block backward differentiation formulas for solving fuzzy differential equations
by: Ismail, Nurzeehan, et al.
Published: (2014)
by: Ismail, Nurzeehan, et al.
Published: (2014)
Diagonally implicit block backward differentiation formulas for solving fuzzy differential equations
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2012)
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2012)
Block backward differentiation formulas for solving second order fuzzy differential equations
by: Tiaw, Kah Fook, et al.
Published: (2017)
by: Tiaw, Kah Fook, et al.
Published: (2017)
Block backward differentiation alpha-formulas for solving stiff ordinary differential equations
by: Mohd Zawawi, Iskandar Shah
Published: (2017)
by: Mohd Zawawi, Iskandar Shah
Published: (2017)
Multiblock Backward Differentiation Formulae for solving first order ordinary differential equations
by: Mohd Nasir, Nor Ain Azeany
Published: (2011)
by: Mohd Nasir, Nor Ain Azeany
Published: (2011)
Similar Items
-
Flow of viscoelastic fluid with microrotation at a boundary layer flow of a horizontal circular cylinder
by: Laila Amera, Aziz, et al.
Published: (2022) -
Flow of viscoelastic fluid with microrotation at a boundary layer flow of a horizontal circular cylinder
by: Laila Amera, Aziz, et al.
Published: (2022) -
Development on mathematical model of convective boundary layer flow of viscoelastic fluid with microrotation effect under constant wall temperature thermal condition over a bluff body
by: Laila Amera, Aziz, et al.
Published: (2019) -
Convective boundary layer flow of viscoelastic micropolar fluid over bluff body with aligned magnetic effect
by: Laila Amera, Aziz
Published: (2024) -
Feedforward neural network for solving particular fractional differential equations
by: Admon, Mohd Rashid
Published: (2024)