These methods include the wavelet and wavelet-Galerkin method [6 9], the Tikhonov method [10], the mollification method [11 13], the fundamental solution method [14], the Fourier method [15], and so on.
These methods include the filtering method [5], the spectral method [6], the mollification method [7, 8], the boundary element method [9], the fundamental solution method [10], the wavelet and wavelet-Galerkin method [11 14], the Fourier method [15], the differential-difference method [16], the global time method [17], the modified Tikhonov method [18], the iterative method [19] etc.
To get the solutions, the upper and lower solution method, the fundamental properties of the fixed point index, and the fixed point index theorem were used.
Although there exist several variants on the conjugate gradient method, the fundamental computing procedures for the solution of (3.6) include the following two steps.
Minderhoud et al. [10] compared several capacity estimation methods including the headway method, bimodal distribution method, selected maxima method, the fundamental diagram method, and the on-line procedure estimation method.
In conjunction with a method known as the equivalent center weight method, the fundamental frequencies of loaded plates can be found from equivalent center weight factor design charts.
With this new admissible function, which satisfies the boundary and the kinematic conditions, and by using the Rayleigh method, the fundamental frequency is obtained.
Finally, by applying a shooting method, the fundamental responses of the non-linear vibration and thermal post-buckling of the plate are numerically obtained.
Similarly to the Fourier spectrum method, the fundamental period estimates are obtained at subpixel resolution by using piecewise quadratic interpolation of the discrete ACF.
