The reducing rank method to solve third‐order Duffing equation with the homotopy perturbation
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Publication:6066434
DOI10.1002/num.22609OpenAlexW3097165686WikidataQ114235237 ScholiaQ114235237MaRDI QIDQ6066434
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Publication date: 12 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22609
homotopy perturbations methodtraveling wave transformationdamping nonlinear Klein-Gordon equationreducing rank methodthird-order Duffing equation
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Cites Work
- Homotopy perturbation method with an auxiliary term
- New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method
- Oscillation of third-order nonlinear damped delay differential equations
- A numerical solution to Klein-Gordon equation with Dirichlet boundary condition
- Homotopy perturbation method for Fangzhu oscillator
- A new method to solve the damped nonlinear Klein-Gordon equation
- Solution and positive solution of a semilinear third-order equation
- The existence of solution for a third-order two-point boundary value problem
- Numerical solution of damped nonlinear Klein--Gordon equations using variational method and finite element approach
- Homotopy perturbation technique
- A note on finite time blowup for dissipative Klein-Gordon equation
- Energy decay for the Klein-Gordon Equation with highly oscillating damping
- Exponential Energy Decay for Damped Klein–Gordon Equation with Nonlinearities of Arbitrary Growth
- Boundary Value Problems for Third‐Order Nonlinear Ordinary Differential Equations
- Continuous dependence of solutions to the strongly damped nonlinear Klein{Gordon equation
- A reduced‐order extrapolated Crank–Nicolson collocation spectral method based on proper orthogonal decomposition for the two‐dimensional viscoelastic wave equations
- EFFECT OF FRACTIONAL DERIVATIVE PROPERTIES ON THE PERIODIC SOLUTION OF THE NONLINEAR OSCILLATIONS
- Asymptotic profile of solutions for strongly damped Klein‐Gordon equations
- Nonconforming quadrilateral finite element method for Ginzburg–Landau equation
- Construction and analysis of some nonstandard finite difference methods for the <scp>FitzHugh–Nagumo</scp> equation
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