Application of modified wavelet and homotopy perturbation methods to nonlinear oscillation problems
Publié en ligne: 23 août 2019
Pages: 351 - 364
Reçu: 03 avr. 2019
Accepté: 07 juin 2019
© 2019 Salai Mathi Selvi and L. Rajendran, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 Public License.
Fig. 1
(a–c) Comparison of CWM (Eq.(24), HPM (Eq.(25) and numerical method (MATLAB result) for various parameter values. Fig.1(a)l = 0.5 and μ = 0.01 Fig.1(b)l = 0.5 and μ = 0.1 Fig.1(c)l = 0.5 and μ = 1.Fig. 2
Plot of displacement and velocity for oscillator Eq. (26) with weak nonlinearity and small amplitude oscillations l = 1.1 and μ = 0.1.Fig. 3
Comparison of CWM (Eq. (34), HPM (Eq. (35) and numerical method (MATLAB result) for various parameter values. Fig. 3(a)l = 0.1, α = 1 and β = 0.5 Fig.3(b)l = 0.1, α = 1 and β = 2 Fig. 3(c)l = 0.1, α = 2 and β = 0.5.Fig. 4
Plot of displacement and velocity for oscillator Eq. (36) with weak nonlinearity and small amplitude oscillations l = 0.1, α = 1, β = 2.Fig. 5
Comparison of CWM (Eq. (44), HPM (Eq. (45) and numerical method (MATLAB result) for fixed parameter values l = 0.5, ς = 0.2.Fig. 6
Plot of displacement and velocity for oscillator Eq. (46) with weak nonlinearity and small amplitude oscillations l = 0.5, ς = 0.2.