Abstract—In this paper, we will present a comparison
between the Adomian Decomposition Method (ADM) and
Taylor Matrix Method by solving some well-known partial
differential equations (PDEs). In order to illustrate the analysis
we examined the Telegraph equation, which is considered one
of the most significant partial differential equations, describe
wave propagation of electric signals in a cable transmission line
and Klein-Gordon equation which is encountered in several
applied physics fields such as, quantum field theory , fluid
dynamics , optoelectronic devices design and numerical analysis.
Our study shows that the decomposition method is faster and
easy to use from a computational viewpoint.
Index Terms—Adomian decomposition method, Klein
gordon equation, taylor matrix method, telegraph equation.
S. Deniz and N. Bildik are with the Mathematics Dept., Celal Bayar
University, Manisa, Turkey (e-mail: {sinan.deniz,
necdet.bildik}@cbu.edu.tr)
[PDF]
Cite: Sinan Deniz and Necdet Bildik, "Comparison of Adomian Decomposition Method and
Taylor Matrix Method in Solving Different Kinds of
Partial Differential Equations," International Journal of Modeling and Optimization vol. 4, no. 4, pp. 292-298, 2014.
