###### Numerical Solution of Abel′s Integral Equations using Hermite Wavelet

. Kumbinarasaiah, Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane–Emden type equations, Appl. Math. Comput., 315 (2017), 591–602. Shiralashetti S.C. Kumbinarasaiah S. Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane–Emden type equations Appl. Math. Comput 315 2017 591 602 [17] H. Brunner, Collocation methods for Volterra integral and related functional differential equations, Cambridge Monographs on Applied and

###### Effect of a Convective Boundary Condition on Boundary Layer Slip Flow and Heat Transfer Over a Stretching Sheet in View of the Exact Solution

Solving the Volterra Integral Form of the Lane-Emden Equations with Initial Values and Boundary Conditions. Appl. Math. Comput., 219 (2013), No. 10, 5004-5019. [7] EBAID, A. Analytical Solutions for the Mathematical Model Describing the Formation of Liver Zones via Adomian’s Method. Computational and Mathematical Methods in Medicine, Volume 2013, Article ID 547954, 8 pages. [8] EBAID, A. Approximate Periodic Solutions for the Non-linear Relativistic Harmonic Oscillator via Differential Transformation Method. Commun. Nonlin. Sci. Numer

###### Effects of second-order slip and drag reduction in boundary layer flows

papers, including: Lane-Emden equation [ 33 ], time-dependent Michaelis-Menton equation [ 34 ], non-local Whitham equation [ 35 ], and Zakharov system [ 36 ] to name a few. Here we outline the solution method and later discuss the convergence and accuracy of the HAM solution. For the present problem, we choose the auxiliary linear operator 𝓛 as L = ∂ 3 ∂ η 3 + β ∂ 2 ∂ η 2 , $$\begin{array}{} \displaystyle \mathscr{L}=\frac{\partial^3}{\partial \eta^3}+\beta\frac{\partial^2}{\partial\eta^2}, \end{array}$$ (13) with an initial approximation to f ( η ) as