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Dergiler / New Trends in Mathematical Sciences / 2015 / Cilt: 3 Sayı: 2

Bernoulli collocation method for high-order generalized pantograph equations

Ayşegül Daşçıoğlu
Mehmet Sezer
Sayfa
96–109
Yayın Tarihi
2015-01-19
DOI
—
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Some numerical examples have beengiven to illustrate the reliability and efficiency of the method

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, an approximate method based on Bernoulli polynomials has been presented to obtain the solution ofgeneralized pantograph equations with linear functional arguments.
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Temel Bulgular & Veri:Both initial and boundary value problems have been solved by thiscollocation technique.
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Sonuç & Katkı:Some numerical examples have beengiven to illustrate the reliability and efficiency of the method
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Pantograph equations · Functional differential equations · Bernoulli polynomials

Abstract

In this paper, an approximate method based on Bernoulli polynomials has been presented to obtain the solution ofgeneralized pantograph equations with linear functional arguments. Both initial and boundary value problems have been solved by thiscollocation technique. Approximate solution can also be corrected with the residual function. Some numerical examples have beengiven to illustrate the reliability and efficiency of the method

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Bu Makaleye Atıf Yap

Daşçıoğlu, A., Sezer, M. (2015). Bernoulli collocation method for high-order generalized pantograph equations. New Trends in Mathematical Sciences, Cilt: 3 Sayı: 2, 96–109. https://ajindex.com/articles/1003887

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Kaynakça (13)

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