A pseudo-spectral solution of 2-parameter Bratu's equation

DOI10.1007/BF00373799zbMath0713.65067MaRDI QIDQ750107

Rakesh K. Kapania

Publication date: 1990

Published in: Computational Mechanics (Search for Journal in Brave)

zbMATH Keywords

algorithmturning pointscollocationpseudo-spectral method2-parameter Bratu's equationconstant-arc type continuation method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear boundary value problems for linear elliptic equations (35J65) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items (9)

Highly efficient family of iterative methods for solving nonlinear models ⋮ A simple solution of the Bratu problem ⋮ Numerical experiments with the Bratu equation in one, two and three dimensions ⋮ Extended convergence for a fifth‐order novel scheme free from derivatives ⋮ Solution of nonlinear partial differential equations using the Chebyshev spectral method ⋮ A new high-order and efficient family of iterative techniques for nonlinear models ⋮ CMMSE: a novel scheme having seventh-order convergence for nonlinear systems ⋮ Local convergence of parameter based method with six and eighth order of convergence ⋮ An efficient family of Chebyshev-Halley's methods for system of nonlinear equations

Uses Software

• PLTMGC

Cites Work

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• An analytical and numerical study of the two-dimensional Bratu equation
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Multilevel continuation techniques for nonlinear boundary value problems with parameter dependence
• PLTMGC: A Multigrid Continuation Program for Parameterized Nonlinear Elliptic Systems
• A Pseudo-Arclength Continuation Method for Nonlinear Eigenvalue Problems

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