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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 1

A new efficient multi-parametric homotopy approach for two-dimensional Fredholm integral equations of the second kind

Y. KHAN
M. FARDI
Sayfa
93–99
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Two examples are presented to illustrate the accuracy and effectiveness of the proposed approach. 2000 AMS Classifi cation: 45B05

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, a new multi-parametric homotopy approach is proposed to find the approximate solution of linear and non-linear two-dimensional Fredholm integral equations of the second kind.
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Temel Bulgular & Veri:In this framework, convergence of the proposed approach for these types of equations is investigated.
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Sonuç & Katkı:Two examples are presented to illustrate the accuracy and effectiveness of the proposed approach. 2000 AMS Classifi cation: 45B05
🔬Tür:Araştırma Makalesi
📍Kapsam:2000 Verileri
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, a new multi-parametric homotopy approach is proposed to find the approximate solution of linear and non-linear two-dimensional Fredholm integral equations of the second kind. In this framework, convergence of the proposed approach for these types of equations is investigated. This homo- topy contain two auxiliary parameters that provide a simple way of controlling the convergence region of series solution. The results of present method are compared with Adomian decomposition method (ADM) results which provide confirmation for the validity of proposed approach. Two examples are presented to illustrate the accuracy and effectiveness of the proposed approach. 2000 AMS Classifi cation: 45B05

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Bu Makaleye Atıf Yap

KHAN, Y., FARDI, M. (2022). A new efficient multi-parametric homotopy approach for two-dimensional Fredholm integral equations of the second kind. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 1, 93–99. https://ajindex.com/articles/530214

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Kaynakça (11)

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