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
 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
K. Kaladhar, E. Komuraiah and K. Madhusudhan Reddy
Fluid Flow 25 4 762 781
 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
 Nagaraju, G., Anjanna, M. and Kaladhar, K. (2017). The effects of Soret and Dufour, chemical reaction
Djelloul Ziane, Mountassir Hamdi Cherif, Carlo Cattani and Kacem Belghaba
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
Dushko Josheski, Elena Karamazova and Mico Apostolov
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
, 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
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 〉 .
Juan Pedro Ruiz-Fernández, Javier Benlloch, Miguel A. López and Nelia Valverde-Gascueña
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