One-point pseudospectral collocation for the one-dimensional Bratu equation
DOI10.1016/j.amc.2010.12.029zbMath1222.65070OpenAlexW2070311171MaRDI QIDQ628914
Publication date: 8 March 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.029
Chebyshev polynomialsnonlinear eigenvalue problemorthogonal collocationBratu equationpseudospectral collocation
Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlinear ordinary differential operators (34L30) Asymptotic expansions of solutions to ordinary differential equations (34E05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- A variational iteration method for solving Troesch's problem
- An analytical and numerical study of the two-dimensional Bratu equation
- Chebyshev and Legendre spectral methods in algebraic manipulation languages
- Chebyshev polynomial expansions for simultaneous approximation of two branches of a function with application to the one-dimensional Bratu equation
- A new approach to Bratu's problem
- Global approximations to the principal real-valued branch of the Lambert \(W\)-function
- On the Lambert \(w\) function
- An algorithm for solving boundary value problems
- Adomian decomposition method for a reliable treatment of the Bratu-type equations
- An efficient method for solving Bratu equations
- An analytic approach to solve multiple solutions of a strongly nonlinear problem
- Applying differential transformation method to the one-dimensional planar Bratu problem
- Computational Solution of Linear Two-Point Boundary Value Problems via Orthonormalization
- A Numerical Algorithm For Solving Troesch'S Problem
- Some problems in the theory of quasilinear equations
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- From the fitting techniques to accurate schemes for the Liouville-Bratu-Gelfand problem
- Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions