###### Application of modified wavelet and homotopy perturbation methods to nonlinear oscillation problems

Newton–Raphson method for nonlinear equations by modified Adomian decomposition method Applied Mathematics and Computation 145 887 893 10.1016/s0096-3003(03)00282-0 [22] S.S. Ganji, D.D. Ganji, A.G. Davodi, S. Karimpour, (2009), Analytical solution to nonlinear oscillation system of the motion of a rigid rod rocking back using max–min approach , Applied Mathematical Modelling 34 2676-2684. 10.1016/j.apm.2009.12.002 Ganji S.S. Ganji D.D. Davodi A.G. Karimpour S. 2009 Analytical solution to nonlinear oscillation system of the motion of a rigid rod rocking back using

###### Soret and Dufour effects on chemically reacting mixed convection flow in an annulus with Navier slip and convective boundary conditions

Fluid Flow 25 4 762 781 [10] Bilal Ashraf, M., Hayat, T., Alsaedi, A. and Shehzad, S.A. (2016). Soret and Dufour effects on the mixed convection flow of an Oldroyd-B fluid with convective boundary conditions. Results in Physics, 6, 917–924. 10.1016/j.rinp.2016.11.009 Bilal Ashraf M. Hayat T. Alsaedi A. Shehzad S.A. 2016 Soret and Dufour effects on the mixed convection flow of an Oldroyd-B fluid with convective boundary conditions Results in Physics 6 917 924 [11] Nagaraju, G., Anjanna, M. and Kaladhar, K. (2017). The effects of Soret and Dufour, chemical reaction

###### Yang-Laplace Decomposition Method for Nonlinear System of Local Fractional Partial Differential Equations

1 Introduction Fractional partial differential equations is a fundamental tool for the analysis of physical phenomena, such as, electromagnetic, acoustics, viscoelasticity, electrochemistry, and others. These physical and other phenomena are expressed by fractional partial differential equations, which have been solved by several numerical-analytical methods ([ 13 ], [ 21 ], [ 25 ]). Among them, one of the most popular methods is the so-called Adomian decomposition method (ADM), which has been developed between the 1970s and 1990s by George Adomian ([ 1

###### Shapley-Folkman-Lyapunov theorem and Asymmetric First price auctions

interval ( a , b ), then this function is concave on ( a , b ) if: ∀ x ∈ ( a , b ), f ″( x ) < 0. Or a C 2 function: g : A → R n on the open and convex set A ⊂ R n is concave if and only if ∂ 2 f ( x ) < 0 and is semidefinite for all x , then f is strictly concave. In the literature of this king very important term is marginal cost pricing equilibrium which is a family of consumption, production plans, lump sum taxes and prices such that such that households are maiming their utility subject to their budget constraints and firms production plans

###### Solitons and other solutions of (3 + 1)-dimensional space–time fractional modified KdV–Zakharov–Kuznetsov equation

, 3). For example, the 3D and 2D plots of the bell-shaped solitary wave solution (41) are displayed in Figure 1 with ε = 1, k 1 = 1, k 2 = 1.2, k 3 = 2.2, c 2 = 1.5, δ = 2.5 when α = 0.95. Figure 2 shows the 3D and 2D plots of the kink-shaped solitary wave solution (45) for ε = −1, k 1 = 0.2, k 2 = 1.5, k 3 = 0.25, c 2 = 0.5, δ = −1.2 when α = 0.9. In Figure 3 , the 3D and 2D plots of the singular soliton solution (50) are depicted for ε = 1, k 1 = 0.5, k 2 = 1.5, k 3 = 0.3, c 2 = 1.3, δ = −1 when α = 0

###### New iterative schemes for solving variational inequality and fixed points problems involving demicontractive and quasi-nonexpansive mappings in Banach spaces

problem. Until now there have been many effective algorithms for solving fixed point problem, the reader can consult [ 5 , 8 , 11 , 14 , 17 , 18 , 22 , 23 ]. Recently, iterative methods for nonexpansive mappings have been applied to solve convex minimization see, e.g., [ 10 , 14 , 19 ] and the references therein. A typical problem is to minimize a quadratic function over the set of the fixed points of a nonexpansive mapping on a real Hilbert space H min x ∈ F i x ( T ) f ( x ) := 1 2 〈 A x , x 〉 − 〈 b , x 〉 . $$\begin{array}{} \displaystyle \min

###### New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method

methods for finding the solutions of various NEEs have been proposed and/or improved by many scholars [ 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65 , 66 , 67 , 68 , 69 , 70 , 71 ]. The aim of this paper was to apply the sine-Gordon expansion

###### Dimensionless characterization of the non-linear soil consolidation problem of Davis and Raymond. Extended models and universal curves

.783 0.4941 0.4328 0.967 2.0 0.847 03 0.02 0.25 0.1125 30000 1 60000 1.566 0.4941 0.4328 0.967 2.0 0.847 04 0.04 1.5 0.45 60000 2 120000 3.133 0.4941 0.4328 0.967 2.0 0.847 05 0.03 1 0.3 25000 1.5 50000 1.175 0.926 0.811 0.967 2.0 0.847 06 0.02 1.5 0.45 30000 1 120000 0.783 0.5501 0.4328 1.077 4.0 0.847 07 0.02 1.5 0.45 30000 2 120000 0.783 2.2004 1.7312 1.077 4.0 0.847 08 0.02 1.5 0.45 30000 1

###### The new extended rational SGEEM for construction of optical solitons to the (2+1)–dimensional Kundu–Mukherjee–Naskar model

, 9 ], the first integral method [ 10 , 11 ], the improved Bernoulli sub-equation function method [ 12 , 13 ], the trial solution method [ 14 , 15 ], the new auxiliary equation method [ 16 ], the extended simple equation method [ 17 ], the solitary wave ansatz method [ 18 ], the functional variable method [ 19 ] and several others [ 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 ]. However, a novel extended rational sinh-Gordon equation expansion technique is developed in this research. The

###### Influence of seasonal factors in the earned value of construction

calendars bring to light in those countries where laws protect the right of holiday choice. In these cases, the calendar factor is no longer deterministic. On the other hand, other authors (e.g., Tucker & Rahilly, 1982 [ 19 ]; Koehn & Brown, 1985 [ 14 ]; Chan & Kumaraswamy, 1995 [ 6 ]; El-Rayes & Mosehli 2001 [ 9 ];Wiliams, 2008 [ 21 ]; Odabasi, 2009 [ 15 ]) have explored the climatic factor giving rise to some predictive models with varying success. Nevertheless, we have not found any studies measuring the influence of all the seasonal factors in the construction