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Dergiler / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2019 / Cilt: 37 - Sayı: 3

QUINTIC B-SPLINE METHOD FOR NUMERICAL SOLUTION OF THE ROSENAU-BURGERS EQUATION

Reza ABAZARI
Kenan YILDIRIM
Sayfa
967–979
Yayın Tarihi
2020-09-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

A priori bound and the error estimates of the approximate solutions are discussed with a numerical example.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, the quintic B–spline method is employed to calculatenumerical solution of the initial-boundary value problem of Rosenau–Burgersequation.
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Temel Bulgular & Veri:This scheme is based on the Crank–Nicolson formulation for time integration and quintic B–spline functions for space integration.
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Sonuç & Katkı:A priori bound and the error estimates of the approximate solutions are discussed with a numerical example.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Rosenau-Burgers equation · quintic b-spline method · Crank-Nicolson scheme

Abstract

In this paper, the quintic B–spline method is employed to calculatenumerical solution of the initial-boundary value problem of Rosenau–Burgersequation. This scheme is based on the Crank–Nicolson formulation for time integration and quintic B–spline functions for space integration. The unconditional stability of the method is proved using Von–Neumann approach. A priori bound and the error estimates of the approximate solutions are discussed with a numerical example.

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Bu Makaleye Atıf Yap

ABAZARI, R., YILDIRIM, K. (2020). QUINTIC B-SPLINE METHOD FOR NUMERICAL SOLUTION OF THE ROSENAU-BURGERS EQUATION. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 37 - Sayı: 3, 967–979. https://ajindex.com/articles/419163

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Kaynakça (17)

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