A novel numerical-analytical approach using FIPIM for critical eigenvalue investigation meanwhile solving the corresponding Bratu's problem

DOI10.1007/s40819-020-00928-wzbMath1469.65129OpenAlexW3118595964MaRDI QIDQ2026909

Yongjun Xu

Publication date: 21 May 2021

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-020-00928-w

zbMATH Keywords

boundary value problemvariational methodBratu's problemprecise integration methodcritical eigenvaluefunction iteration

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Uses Software

• Maple

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bratu's problem: a novel approach using fixed-point iterations and Green's functions
• Dynamics of the solution of Bratu's equation
• Non-polynomial spline method for solving Bratu's problem
• The Lie-group shooting method for solving the Bratu equation
• The Liouville-Bratu-Gelfand problem for radial operators
• The solution of unconfined seepage problem using natural element method (NEM) coupled with genetic algorithm (GA)
• New perturbation-iteration solutions for Bratu-type equations
• A new approach to Bratu's problem
• On precise integration method.
• Solving an inverse heat conduction problem using genetic algorithm: sequential and multi-core parallelization approach
• An algorithm for solving boundary value problems
• Genetic algorithm based wireless vibration control of multiple modal for a beam by using photostrictive actuators
• Bio-inspired computing platform for reliable solution of Bratu-type equations arising in the modeling of electrically conducting solids
• Adomian decomposition method for a reliable treatment of the Bratu-type equations
• Applying differential transformation method to the one-dimensional planar Bratu problem
• PLTMGC: A Multigrid Continuation Program for Parameterized Nonlinear Elliptic Systems
• Some problems in the theory of quasilinear equations
• B-spline method for solving Bratu's problem

This page was built for publication: A novel numerical-analytical approach using FIPIM for critical eigenvalue investigation meanwhile solving the corresponding Bratu's problem