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Dergiler / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2020 / Cilt: 16 - Sayı: 4

Improved Jacobi Matrix Method for Solving Multi-Functional Integro-Differential Equations with Mixed Delays

Mehmet Çevik
M. Mustafa Bahşi
Sayfa
393–401
Yayın Tarihi
2022-10-12
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Wedeveloped an error estimation algorithm based on the present method for the verification of solutions.Application of the method is illustrated by four numerical examples.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we suggested a novel approach for solving multi-functional integro-differential equationswith mixed delays, by using orthogonal Jacobi polynomials.
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Temel Bulgular & Veri:These equations include various classes ofdifferential equations, integro-differential equations and delay differential equations.
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Sonuç & Katkı:Wedeveloped an error estimation algorithm based on the present method for the verification of solutions.Application of the method is illustrated by four numerical examples.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this study, we suggested a novel approach for solving multi-functional integro-differential equationswith mixed delays, by using orthogonal Jacobi polynomials. These equations include various classes ofdifferential equations, integro-differential equations and delay differential equations. This new algorithmproposes solutions for each class of these equations and combinations of equation classes, such asVolterra integro-differential equation, Fredholm integro-differential equation, pantograph-delaydifferential equations. Since the present method is based on fundamental matrix relations and collocationpoints, numerical solutions can be obtained easily by means of symbolic computation programs. Wedeveloped an error estimation algorithm based on the present method for the verification of solutions.Application of the method is illustrated by four numerical examples.

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Bu Makaleye Atıf Yap

Çevik, M., Bahşi, M. M. (2022). Improved Jacobi Matrix Method for Solving Multi-Functional Integro-Differential Equations with Mixed Delays. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 16 - Sayı: 4, 393–401. https://ajindex.com/articles/472165

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Kaynakça (14)

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  12. Yüzbaşı, Ş. 2014. Laguerre approach for solving pantograph-type Volterra integro-differential equations. Applied Mathematics and Computation; 232: 1183-1199
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