Numerical solutions to singular \(\phi\)-Laplacian with Dirichlet boundary conditions

DOI10.1007/s11075-013-9792-xzbMath1323.65084OpenAlexW2070612308MaRDI QIDQ466855

Constantin Popa, Petru Jebelean

Publication date: 31 October 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-013-9792-x

zbMATH Keywords

convergencenumerical exampleinitial value problemRunge-Kutta schemeDirichlet boundary value problemshooting methodEuler's schemenonlinear one-dimensional Laplacianroot finding problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlinear ordinary differential operators (34L30)

Related Items

Nonspurious solutions of the Dirichlet problem for the prescribed mean curvature spacelike equation in a Friedmann-Lemaître-Robertson-Walker spacetime, Unnamed Item, Numerical extremal solutions for a mixed problem with singular \({\phi}\)-Laplacian

Cites Work

• Variational methods for nonlinear perturbations of singular \(\varphi \)-Laplacians
• Periodic solutions of the forced relativistic pendulum
• Radial solutions of Neumann problem for periodic perturbations of the mean extrinsic curvature operator
• Periodic oscillations of the relativistic pendulum with friction
• Multiple solutions for Neumann and periodic problems with singular \(\phi \)-Laplacian
• Nonhomogeneous boundary value problems for some nonlinear equations with singular \(\phi\)-Laplacian
• On a result of Brezis and Mawhin
• Resonance Problems for Some Non-autonomous Ordinary Differential Equations
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