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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 5

Stability analysis for some numerical schemes of partial differential equation with extra measurements

Nazi Abdollahi
Davood Rostamy
Sayfa
1324–1335
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

All the results and a numerical example are in two-dimensional setting.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This paper is devoted to study the stability analysis of some finite difference schemes for an inverse problem with unknowns time-dependent coefficients subject to extra measurements.
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Temel Bulgular & Veri:We prove that the popular forward time centered space scheme is a conditional method.
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Sonuç & Katkı:All the results and a numerical example are in two-dimensional setting.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Von Neumann stability analysis · inverse problems · finite difference methods

Abstract

This paper is devoted to study the stability analysis of some finite difference schemes for an inverse problem with unknowns time-dependent coefficients subject to extra measurements. We prove that the popular forward time centered space scheme is a conditional method. But the backward time centered space and Crank Nicolson methods are suitable schemes because they are unconditional methods. We justify this advantage of the stability analysis versus the some numerical methods with an example. All the results and a numerical example are in two-dimensional setting.

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Bu Makaleye Atıf Yap

Abdollahi, N., Rostamy, D. (2022). Stability analysis for some numerical schemes of partial differential equation with extra measurements. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 5, 1324–1335. https://ajindex.com/articles/530140

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