TY - JOUR
T1 - A numerical comparison of a Kawahara equation
AU - Kaya, Doǧan
AU - Al-Khaled, Kamel
PY - 2007/4/9
Y1 - 2007/4/9
N2 - In this Letter we present an Adomian's decomposition Method (shortly ADM) and the Sinc-Galerkin Method (shortly SGM) for numerical approximation traveling wave solutions of the Kawahara equation. We obtain the exact traveling wave solutions of the Kawahara equation for the initial conditions by using ADM. Then ADM yields the analytic approximate solution with fast convergence rate and high accuracy through previous works. The numerical solutions are compared with the known analytical solutions.
AB - In this Letter we present an Adomian's decomposition Method (shortly ADM) and the Sinc-Galerkin Method (shortly SGM) for numerical approximation traveling wave solutions of the Kawahara equation. We obtain the exact traveling wave solutions of the Kawahara equation for the initial conditions by using ADM. Then ADM yields the analytic approximate solution with fast convergence rate and high accuracy through previous works. The numerical solutions are compared with the known analytical solutions.
KW - Adomian decomposition method
KW - Kawahara equation
KW - Sinc-Galerkin method
KW - Traveling wave solution
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U2 - 10.1016/j.physleta.2006.11.055
DO - 10.1016/j.physleta.2006.11.055
M3 - Article
AN - SCOPUS:33847056255
SN - 0375-9601
VL - 363
SP - 433
EP - 439
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 5-6
ER -