Approximation of solutions for an initial and terminal value problem for the forced Duffing equation with non-viscous damping

DOI10.1016/j.amc.2010.03.046zbMath1213.65156OpenAlexW2006468896WikidataQ60199381 ScholiaQ60199381MaRDI QIDQ979307

Bashir Ahmad, Juan. J. Nieto

Publication date: 25 June 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.046

zbMATH Keywords

algorithmnumerical examplesboundary value problemsquadratic convergenceiterative solutionDuffing equation with an integral term of non-viscous dampinginitial and terminal value problem

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items

On nonlocal three-point boundary value problems of Duffing equation with mixed nonlinear forcing terms, On a viscoelastic equation with nonlinear boundary damping and source terms: global existence and decay of the solution, Stochastic stability analysis of coupled viscoelastic systems with nonviscously damping driven by white noise, Method of quasilinearization for a nonlocal singular boundary value problem in weighted spaces

Cites Work

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• Approximation of solutions of the nonlinear Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions
• A quasilinearization method for a class of second order singular nonlinear differential equations with nonlinear boundary conditions
• A quasilinearization method for a class of integro-differential equations with mixed nonlinearities
• A quasilinearization method for elliptic problems with a nonlinear boundary condition
• Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow
• The generalized quasilinearization method for second-order three-point boundary value problems
• Quasilinearization and invariant imbedding. With applications to chemical engineering and adaptive control
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• Dynamics of Viscoelastic Structures—A Time-Domain, Finite Element Formulation
• An investigation into the linear theory of ship response to waves
• A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations
• Closed-Form Solutions and the Eigenvalue Problem for Vibration of Discrete Viscoelastic Systems
• ON A GENERAL MODEL FOR DAMPING
• Variational Principles in Irreversible Thermodynamics with Application to Viscoelasticity
• Quasilinearization and rate of convergence for higher-order nonlinear periodic boundary-value problems
• The Bellmann-Kalaba-Lakshmikantham quasilinearization method for Neumann problems
• Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs