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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Volume: 49 Issue: 6

Fractal quintic spline method for nonlinear boundary-value problems

N Balasubramani(National Institute of Technology Puducherry)0000-0001-8281-8997
M. Guru Prem Prasad(Indian Institute of Technology Guwahati)0000-0002-4484-231X
S Natesan(Indian Institute of Technology Guwahati)0000-0001-7527-1989
Sayfa
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Yayın Tarihi
2020-12-08
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Numerical examples are provided to show practical usefulness of the method and numerical results are compared with the existing numerical methods.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this article, numerical solutions of nonlinear boundary-value problems are obtained using fractal quintic spline.
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Temel Bulgular & Veri:Convergence analysis of the proposed method is also established.
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Sonuç & Katkı:Numerical examples are provided to show practical usefulness of the method and numerical results are compared with the existing numerical methods.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:fractal quintic spline · nonlinear boundary-value problem · quasilinearization

Abstract

In this article, numerical solutions of nonlinear boundary-value problems are obtained using fractal quintic spline. Convergence analysis of the proposed method is also established. Proposed method has fourth-order convergence. Numerical examples are provided to show practical usefulness of the method and numerical results are compared with the existing numerical methods.

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Bu Makaleye Atıf Yap

Balasubramani, N., Prasad, M. G. P., Natesan, S. (2020). Fractal quintic spline method for nonlinear boundary-value problems. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 6. https://doi.org/10.15672/hujms.452998

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