A two-branched numerical solution of the two-dimensional Bratu's problem
DOI10.1016/j.apnum.2020.02.010zbMath1436.65161OpenAlexW3009421145MaRDI QIDQ1986154
M. O. Musa, Mahboub Baccouch, Helmi Temimi, Mohamed Ben-Romdhane
Publication date: 7 April 2020
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2020.02.010
iterative methodfinite differenceNewton-Raphson-Kantorovich approximation methodtwo-dimensional Bratu's problem
Numerical computation of solutions to systems of equations (65H10) Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Bifurcations in context of PDEs (35B32)
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Cites Work
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- A simple solution of the Bratu problem
- An iterative finite difference method for solving Bratu's problem
- Non-polynomial spline method for solving Bratu's problem
- One-point pseudospectral collocation for the one-dimensional Bratu equation
- The Lie-group shooting method for solving the Bratu equation
- The Liouville-Bratu-Gelfand problem for radial operators
- New perturbation-iteration solutions for Bratu-type equations
- An analytical and numerical study of the two-dimensional Bratu equation
- An efficient algorithm for the determination of certain bifurcation points
- A new approach to Bratu's problem
- The Taylor wavelets method for solving the initial and boundary value problems of Bratu-type equations
- An algorithm for solving boundary value problems
- A HAM-based wavelet approach for nonlinear partial differential equations: two dimensional Bratu problem as an application
- A modified perturbation solution to the one-dimensional Bratu problem
- New smoother to enhance multigrid-based methods for Bratu problem
- Iterative differential quadrature solutions for Bratu problem
- An efficient iterative method for solving Bratu-type equations
- On the integral solution of the one-dimensional Bratu problem
- An efficient method for solving Bratu equations
- An iterative finite difference method for approximating the two-branched solution of Bratu's problem
- Wavelet solution of a class of two-dimensional nonlinear boundary value problems
- APPLICATIONS OF MICKENS FINITE DIFFERENCES TO SEVERAL RELATED BOUNDARY VALUE PROBLEMS
- PLTMGC: A Multigrid Continuation Program for Parameterized Nonlinear Elliptic Systems
- Arc-Length Continuation and Multigrid Techniques for Nonlinear Elliptic Eigenvalue Problems
- A Method for the Numerical Determination of Bifurcation States of Nonlinear Systems of Equations
- A MULTIGRID-LANCZOS ALGORITHM FOR THE NUMERICAL SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS
- Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem
- Some problems in the theory of quasilinear equations
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- CONTINUATION FOR NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS DISCRETIZED BY THE MULTIQUADRIC METHOD
- B-spline method for solving Bratu's problem
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