SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

By Ji-Huan He. 2006

2,334 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/59b7e69a7df31d9227bc45691d05d97119fd8ba3

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Citations in the corpus

On multistage homotopy-perturbation method applied to nonlinear biochemical reaction model (2008, neutral): “Some applications of the standard HPM on nonlinear problems can be found in [8–19].”
Application of Variational Iteration Method to a General Riccati Equation (2007, methodology): “Mathematics Subject Classification: 65L05, 65L06, 35A15 Keywords: Riccati equation, Variational iteration method, Runge-Kutta method”
An Improved Amplitude-frequency Formulation for Nonlinear Oscillators (2008, positive): “We consider a generalized nonlinear oscillator in the form « ' + / ( « ) = 0, u(0) = A, u'(0) = 0 (1) We use two trial functions M| (f) = A cos cO\t (2) and u2 = A cos (o2t, (3) The residuals are /?,(/) = - cos ω,ί + /(Α cos ω,ί) (4) and ϋ2(ωί) = -ω\ cosω2ί + f(Acosω2ί) (5) The original frequency-am”
Homotopy Perturbation Method for Solving Fourth-Order Boundary Value Problems (2007, methodology): “Such type of boundary value problems arise in the mathematical modeling of the viscoelastic flows, deformation of beams, and plate deflection theory and other branches of mathematical, physical, and engineering sciences, see [10, 11, 7, 12, 8] and the references therein.”
The use of He's variational iteration method for solving the telegraph and fractional telegraph equations (2011, methodology): “The method is used in several well-known problems successfully such as delay differential equations [18], differential equations with fractional derivatives [19–21], autonomous differential equations [22], Helmholtz equations [23], Burgers and coupled Burgers equations [24], non-linear wave and diff”