Pell-Lucas Collocation Method for Solving High-Order Functional Differential Equations with Hybrid Delays | Zendy

Melike Şahin | Zendy; Mehmet Sezer | Zendy

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Pell-Lucas Collocation Method for Solving High-Order Functional Differential Equations with Hybrid Delays

Author(s) -

Melike Şahin,

Mehmet Sezer

Publication year - 2018

Publication title -

celal bayar üniversitesi fen bilimleri dergisi

Language(s) - English

Resource type - Journals

eISSN - 1305-1385

pISSN - 1305-130X

DOI - 10.18466/cbayarfbe.307282

Subject(s) - mathematics , orthogonal collocation , collocation (remote sensing) , collocation method , differential equation , matrix (chemical analysis) , algebraic equation , set (abstract data type) , residual , mathematical analysis , algorithm , ordinary differential equation , computer science , nonlinear system , materials science , physics , machine learning , quantum mechanics , composite material , programming language

In this study, the Pell-Lucas collocation method has been presented to solve high-order linear functional differential equations with hybrid delays under mixed conditions. The proposed method is based on the matrix forms of Pell-Lucas polynomials and their derivatives, along with the collocation points. The used technique reduces the problem to a matrix equation corresponding to a set of algebraic equations with the unknown Pell-Lucas coefficients. In addition, an error analysis based on residual function is performed and some numerical examples are presented to show the efficiency and accuracy of the method.

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