The Lie-group shooting method for solving the Bratu equation
By Saeid Abbasbandy, Mir Sajjad Hashemi, Chein-Shan Liu. 2011
120 citations recorded by the source corpus.
Subfields: Mechanics of Materials, Modeling and Simulation, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b2d048f218e54a9fac75d55a72a6e1cc3a2c9ac0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mechanics of Materials
- Eid H. Doha
- Waleed Mohamed Abd-Elhameed
- Youssri Hassan Youssri
- Randhir Singh
- Nilima Das
- Jitendra Kumar
- Shaher Momani
- Omar Abu Arqub
In Modeling and Simulation
- Omar Abu Arqub
- Shaher Momani
- Youssri Hassan Youssri
- Randhir Singh
- Waleed Mohamed Abd-Elhameed
- Eid H. Doha
- Za'er Salim Abo-Hammour
- Jitendra Kumar
In Statistical and Nonlinear Physics
- Shaher Momani
- Waleed Mohamed Abd-Elhameed
- Youssri Hassan Youssri
- Omar Abu Arqub
- Eid H. Doha
- Randhir Singh
- Jitendra Kumar
- Ramzi B. Albadarneh
Citations in the corpus
- New Spectral Second Kind Chebyshev Wavelets Algorithm for Solving Linear and Nonlinear Second-Order Differential Equations Involving Singular and Bratu Type Equations (2013, background): “SCWOMDError in [17] Error in [18] Error in [19] Error in [20] 7.”
- A Reliable Analytical Method for Solving Higher-Order Initial Value Problems (2013, methodology): “The reader is kindly requested to go through [39–44] in order to know more details about applications of Bratu problem, its history and kinds, its method of solutions, and so forth.”
- An algorithm based on the variational iteration technique for the Bratu-type and the Lane–Emden problems (2016, methodology): “Several numerical techniques, like Lie-Group shooting method (LGSM) [22], nonpolynomial spline method [23], Legendre wavelet method [24], Sinc-Galerkin method [3] and B-Spline method [1] have been used to solve such BVPs.”