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Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals |
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| Authors: | Ruyun Chen Shuhuang Xiang |
| Affiliation: | a School of Science, Guangdong Ocean University, Zhanjiang, Guangdong 524088, China b School of Mathematics, Central South University, Changsha, Hunan 410083, China |
| Abstract: | 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. |
| Keywords: | Homotopy perturbation method (HPM) Vector-value integrals Oscillatory function Bessel transformations Asymptotic method |
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