Dergiler / Gazi University Journal of Science / 2018 / Cilt: 31 - Sayı: 3

On the Approximation of Highly Oscillatory Integral Equations Via Radial Kernels

Sayfa
879–888
Yayın Tarihi
2018-09-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The proposed method is very robust and capable of handling fast oscillatory integral equations.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this work we used radial kernels for computing more generalized fast oscillatory integral equations.
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Temel Bulgular & Veri:The proposed method is based on radial kernels.
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Sonuç & Katkı:The proposed method is very robust and capable of handling fast oscillatory integral equations.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Oscillatory integral equations · Interpolation Scheme · Radial kernels

Abstract

In this work we used radial kernels for computing more generalized fast oscillatory integral equations. The proposed method is based on radial kernels. The present method is efficient for computing oscillatory integral equations with large oscillation parameters. The proposed method is very robust and capable of handling fast oscillatory integral equations.

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Bu Makaleye Atıf Yap

ALI, A., ULLAH, Z. M., UDDIN, M. (2018). On the Approximation of Highly Oscillatory Integral Equations Via Radial Kernels. Gazi University Journal of Science, Cilt: 31 - Sayı: 3, 879–888. https://ajindex.com/articles/255084

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Kaynakça (11)

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  6. Polyanin.A. D., Manzhirov. A. V., “Handbook of Integral Equations”, CRC Press, (2008). Chen. R., “Numerical approximation for highly oscillatory {Bessel} transform and applications”, Journal of Mathematical Analysis and Applications, 421(2): 1635-1650, (2015).
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