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Dergiler / New Trends in Mathematical Sciences / 2017 / Cilt: 5 Sayı: 4

An improved Morgan-voyce collocation method for numerical solution of multi-pantograph equations

Ozgul Ilhan(MUGLA SITKI KOCMAN UNIVERSITY)
Sayfa
248–260
Yayın Tarihi
2017-10-01
DOI
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We have applied all of the numerical computations on computer using a program written in MATLAB.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this article, an improved collocation method based on the Morgan-Voyce polynomials for the approximates solution of multi-pantograph equations is introduced.
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Temel Bulgular & Veri:The method is based upon the improvement of Morgan-Voyce polynomial solutions with the aid of the residual error function.
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Sonuç & Katkı:We have applied all of the numerical computations on computer using a program written in MATLAB.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Morgan-Voyce polynomials · Pantograph equations · approximation methods

Abstract

In this article, an improved collocation method based on the Morgan-Voyce polynomials for the approximates solution of multi-pantograph equations is introduced. The method is based upon the improvement of Morgan-Voyce polynomial solutions with the aid of the residual error function. First, the Morgan-Voyce collocation method is applied to the multi-pantograph equations and then Morgan-Voyce polynomial solutions are obtained. Second, an error problem is constructed by means of the residual error function and this error problem is solved by using the Morgan-Voyce collocation method. By summing the Morgan-Voyce polynomial solutions of the original problem and the error problem, we have the improved Morgan-Voyce polynomial solutions. When the exact solution of problem is not known, the absolute error can then be approximately computed by the Morgan-Voyce polynomial solution of the error problem. Numerical examples that the pertinent features of the method are presented. We have applied all of the numerical computations on computer using a program written in MATLAB.

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Bu Makaleye Atıf Yap

Ilhan, O. (2017). An improved Morgan-voyce collocation method for numerical solution of multi-pantograph equations. New Trends in Mathematical Sciences, Cilt: 5 Sayı: 4, 248–260. https://ajindex.com/articles/1003691

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