TY - JOUR
T1 - Numerical comparison of methods for solving second-order ordinary initial value problems
AU - Al-Khaled, Kamel
AU - Anwar, M. Naim
PY - 2007/2
Y1 - 2007/2
N2 - In this paper, we apply Adomian decomposition method (shortly, ADM) to develop a fast and accurate algorithm of a special second-order ordinary initial value problems. The ADM does not require discretization and consequently of massive computations. This paper is particularly concerned with the ADM and the results obtained are compared with previously known results using the Quintic C2-spline integration methods. The numerical results demonstrate that the ADM is relatively accurate and easily implemented.
AB - In this paper, we apply Adomian decomposition method (shortly, ADM) to develop a fast and accurate algorithm of a special second-order ordinary initial value problems. The ADM does not require discretization and consequently of massive computations. This paper is particularly concerned with the ADM and the results obtained are compared with previously known results using the Quintic C2-spline integration methods. The numerical results demonstrate that the ADM is relatively accurate and easily implemented.
KW - Adomian decomposition method
KW - Approximate solutions
KW - Quintic spline
KW - Second-order initial value problem
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U2 - 10.1016/j.apm.2005.11.004
DO - 10.1016/j.apm.2005.11.004
M3 - Article
AN - SCOPUS:33750987675
SN - 0307-904X
VL - 31
SP - 292
EP - 301
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
IS - 2
ER -