Fig. 1 The computations of one step advance of fourth-order method The computations of one step advance of fourth-order method More

Fig. 2 Gyroscope with different stabilization parameters β the position ( a ), velocity ( b ), and acceleration ( c ) along the x -direction, calculated by RKC and ESERK integrators, compared to generalized- α integrator and verified by ADAMS model Gyroscope with different stabilization para... More

Fig. 3 Gyroscope with different stabilization parameters β : the local rotational parameters calculated by RKC and ESERK integrators Gyroscope with different stabilization parameters β: the local rotational parameters calculated by RKC and ESERK integrators More

Fig. 4 Gyroscope with different stabilization parameters β : the constraints calculated by RKC and ESERK integrators, compared to generalized- α integrator Gyroscope with different stabilization parameters β: the constraints calculated by RKC and ESERK integrators, compared to generalized-α in... More

Fig. 5 Gyroscope with different stabilization parameters β : the derivative of constraints calculated by RKC and ESERK integrators, compared to generalized- α integrator Gyroscope with different stabilization parameters β: the derivative of constraints calculated by RKC and ESERK integrators, ... More

Fig. 6 Orthogonal Bricard mechanism Orthogonal Bricard mechanism More

Fig. 7 Bricard mechanism with different stabilization parameters β : the position vector of joint 4 calculated by RKC and ESERK integrators, compared to generalized- α integrator Bricard mechanism with different stabilization parameters β: the position vector of joint 4 calculated by RKC and E... More

Fig. 8 Bricard mechanism with different stabilization parameters β : the first two constraints (top) and their time derivative (bottom) at joint 4 calculated by RKC and ESERK integrators, compared to generalized- α integrator Bricard mechanism with different stabilization parameters β: the fir... More

Fig. 1 Comparison of numerical schemes over spatial variable using N y = 40 ,   N t = 100 ,   α = 1 Comparison of numerical schemes over spatial variable using Ny=40, Nt=100, α=1 More

Fig. 2 Comparison of numerical schemes over iterations using N y = 40 ,   N t = 100 ,   t f = 1 ,   α = 1 Comparison of numerical schemes over iterations using Ny=40, Nt=100, tf=1, α=1 More

Fig. 3 Impact of Prandtl and Schmidt numbers on temperature and concentration profiles using N y = 40 ,   N t = 300 ,   α = 1 , E c = 0.4 ,   D f = 0.1 ,   S r = 0.1 Impact of Prandtl and Schmidt numbers on temperature and concen... More

Fig. 4 Impact of α on velocity profile using N y = 40 ,   N t = 100 Impact of α on velocity profile using Ny=40, Nt=100 More

Fig. 5 Variation of α on temperature and concentration profiles using N y = 40 ,   N t = 100 ,   P r = 1 ,   S c = 1 ,   E c = 0.4 ,   D f = 0.1 ,   S r = 0.1 Variation of α on temperature and concentrat... More

Fig. 6 Contour for velocity profile of Stokes second problem using N y = 40 ,   N t = 400 ,   L = 27 ,   α = 0.9 Contour for velocity profile of Stokes second problem using Ny=40, Nt=400, L=27, α=0.9 More

Fig. 7 Contour plot for temperature profile of Stokes second problem using N y = 40 ,   N t = 400 ,   L = 27 ,   α = 0.9 ,   P r = 4 ,   S c = 1.9 , E c = 4 ,   D f = 0 ,   S r = 0 Contour plot for te... More

Fig. 8 ( a ) Surface plots velocity, ( b ) streamlines, ( c ) surface plots for temperature, and ( d ) isothermal contours using U w = 1 ,   T w = 1 ,   τ = 1 (a) Surface plots velocity, (b) streamlines, (c) surface plots fo... More

Fig. 9 ( a ) Surface plots velocity, ( b ) streamlines, ( c ) surface plots for temperature, and ( d ) isothermal contours using U w = 1 ,   T w = 1 ,   τ = 5 (a) Surface plots velocity, (b) streamlines, (c) surface plots fo... More

Fig. 10 ( a ) Surface plots velocity, ( b ) streamlines, ( c ) surface plots for temperature, and ( d ) isothermal contours using U w = 1 ,   T w = 1 ,   τ = 10 (a) Surface plots velocity, (b) streamlines, (c) surface plots ... More