an:05268327
Zbl 1139.65019
Molabahrami, A.; Khani, F.
Numerical solutions of highly oscillatory integrals
EN
Appl. Math. Comput. 198, No. 2, 657-664 (2008).
00218290
2008
j
65D32 41A55
oscillatory integrals; He's homotopy perturbation method; numerical examples
Summary: An application of \textit{J.-H. He}'s homotopy perturbation method (HPM) [ibid. 135, No.~1, 73--79 (2003; Zbl 1030.34013)] is proposed to numerical solution of highly oscillatory integrals. To apply the HPM to the oscillatory integrals, we assume that the oscillatory function has not critical point at the endpoints of integration region. The results reveal that the method is very effective and simple.
Zbl 1030.34013