The approximate solution of the nonlinear equation \(\Delta u=u-u^3\)

DOI10.1016/0022-247X(75)90155-9zbMath0311.65063OpenAlexW2076599418MaRDI QIDQ1219550

Frank Stenger, Jean Chauvette

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(75)90155-9

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theoretical approximation in context of PDEs (35A35)

Related Items (3)

A numerical solution of the differential equation \(u+ 2u'/r = u-u^ 3\) ⋮ Publications by, and About, Frank Stenger ⋮ Unnamed Item

Cites Work

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• Boundary value problems for a class of nonlinear differential equations
• Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
• Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions
• A classical theory of bosons
• A Method for Minimizing a Sum of Squares of Non-Linear Functions Without Calculating Derivatives
• Stationary States for a Nonlinear Wave Equation
• Extremum Principles for the Equation ∇2φ = φ − φ3
• Nonlinear Spinor Fields

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