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

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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Celal Bayar Üniversitesi Fen Bilimleri Dergisi-Cover

ISSN: 1305-130X
Başlangıç: 2005
Yayıncı: Manisa Celal Bayar Üniversitesi Fen Bilimleri Enstitüsü

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