# A new analytical solution of the hyperbolic Kepler equation using the Adomian decomposition method

@article{Ebaid2017ANA, title={A new analytical solution of the hyperbolic Kepler equation using the Adomian decomposition method}, author={Abdelhalim Ebaid and Randolph C. Rach and Essam R. El-Zahar}, journal={Acta Astronautica}, year={2017}, volume={138}, pages={1-9} }

## 7 Citations

Solving Kepler's equation via nonlinear sequence transformations

- Mathematics
- 2021

Since more than three centuries Kepler’s equation continues to represents an important benchmark for testing new computational techniques. In the present paper, the classical Kapteyn series solution…

Analytical approximate solutions for nonplanar Burgers equations by weighted residual method

- Physics
- 2020

A monotonic starter for solving the hyperbolic Kepler equation by Newton’s method

- MathematicsCelestial Mechanics and Dynamical Astronomy
- 2019

This work deals with the iterative solution of the sine hyperbolic Kepler’s equation (SHK): $$F_g(S) = S - g\,\mathrm{arcsinh}(S) - L = 0$$Fg(S)=S-garcsinh(S)-L=0. Since this function is…

Application of AG method and its improvement to nonlinear damped oscillators

- EngineeringScientia Iranica
- 2018

In this paper, a new and innovative semi analytical technique, namely Akbari-Ganji’s method (AGM), is employed for solving three nonlinear damped oscillatory systems. Applying this method to…

On computing differential transform of nonlinear non-autonomous functions and its applications

- Mathematics
- 2016

Although being powerful, the differential transform method yet suffers from a drawback which is how to compute the differential transform of nonlinear non-autonomous functions that can limit its…

Solving fuzzy
(
1
+
n
)
$(1+ n)$
-dimensional Burgers’ equation

- Mathematics
- 2021

In this paper, we study the comparison of fuzzy differential transform method (FDTM), fuzzy Adomian decomposition method (FADM), fuzzy homotopy perturbation method (FHPM), and fuzzy reduced…

Exact solution with existence and uniqueness conditions for multi-dimensional time-space tempered fractional diffusion-wave equation

- MathematicsEngineering with Computers
- 2020

In this paper, we investigate the existence and uniqueness of the multi-dimensional time-space tempered fractional diffusion-wave (TSTFDW) equation by using the fixed point theory. We also found an…

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