Abstract—In this study, the concept of Homotopy analysis
method (HAM) is briefly introduced. Furthermore some
non-linear problems are handled and the solutions of these
problems are given using by HAM, DTM, ADM methods and
the convergence of the solution is shown to the exact solution.
Additionally, the three methods are compared and it is observed
that the HAM is more-less efficient and effective than the ADM
and DTM in according to the exact solution. In the end, some of
the numerical solutions of two examples are presented and the
results are shown in graphs and figures.
Index Terms—Homotopy analysis method, differential
transform method, adomian decomposition method, auxiliary
linear operator, embedding parameter, deformation equation.
The authors are with Celal Bayar University, Faculty of Arts and Sciences,
Department of Mathematics, Muradiye Campus, 45047, Manisa, Turkey
(e-mail: necdet.bildik@cbu.edu.tr)
[PDF]
Cite:Necdet Bildik and Şeyma Erdoğan, "Implementation to the Different Differential Equations of
Homotopy Analysis, Differential Transformed and
Adomian Decomposition Method," International Journal of Modeling and Optimization vol. 3, no. 6, pp. 529-524, 2013.
