𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Lie-group shooting method for solving the Bratu equation

✍ Scribed by S. Abbasbandy; M.S. Hashemi; Chein-Shan Liu

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
447 KB
Volume
16
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.

✦ Synopsis

a b s t r a c t

For the Bratu problem, we transform it into a non-linear second order boundary value problem, and then solve it by the Lie-group shooting method (LGSM). LGSM allows us to search a missing initial slope and moreover, the initial slope can be expressed as a function of r 2 [0, 1], where the best r is determined by matching the right-end boundary condition. The calculated results as compared with those calculated by other methods, illuminate the efficiency and precision of Lie-group shooting method (LGSM) for this problem.

πŸ“œ SIMILAR VOLUMES

The Shooting Method for Solving Eigenval
The Shooting Method for Solving Eigenvalue Problems
✍ Xi Chen πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 191 KB

The shooting method is a numerically effective approach to solving certain eigenvalue problems, such as that arising from the Schrodinger equation for the αΊ—wo-dimensional hydrogen atom with logarithmic potential function. However, no complete proof of its rationale and correctness has been given unt

An improvement to the comparison equatio
An improvement to the comparison equation method for solving the SchrΓΆdinger equation
✍ J. Giraldo; R.G. Barrera; G.A. EstΓ©vez πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 522 KB

A systematic improved comparison equation method to solve the Schrijdinger equation is described. The method is useful in quantum mechanical calculations inv&~ -0 or more titian or turning points and is applicable to real potentials with continuol;s derivatives. As a computatior 4 example of the met