Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals

作者：Chen, Ruyun^*; Xiang, Shuhuang

来源：Applied Mathematics and Computation, 2009, 215(1): 78-84.

DOI：10.1016/j.amc.2009.04.048

• Homotopy perturbation method (HPM)
• Vector-value integrals
• Oscillatory function
• Bessel transformations
• Asymptotic method

This paper considers a homotopy perturbation method for approximating multivariate vector-value highly oscillatory integrals. The asymptotic formulae of the integrals and the asymptotic order of the asymptotic method are presented. Numerical examples show the efficiency of the approximation method.

• 出版日期2009-9-1
• 单位中南大学; 广东海洋大学