A matrix approach to solving hyperbolic partial differential equations using Bernoulli polynomials | Zendy

Bicer Erdem | Zendy; Sali̇h Yalçinbaş | Zendy

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A matrix approach to solving hyperbolic partial differential equations using Bernoulli polynomials

Author(s) -

Bicer Erdem,

Sali̇h Yalçinbaş

Publication year - 2016

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1604993e

Subject(s) - mathematics , bernoulli polynomials , bernoulli differential equation , hyperbolic partial differential equation , bernoulli's principle , partial differential equation , matrix (chemical analysis) , residual , first order partial differential equation , mathematical analysis , differential equation , classical orthogonal polynomials , orthogonal polynomials , algorithm , exact differential equation , materials science , engineering , composite material , aerospace engineering

The present study considers the solutions of hyperbolic partial differential equations. For this, an approximate method based on Bernoulli polynomials is developed. This method transforms the equation into the matrix equation and the unknown of this equation is a Bernoulli coefficients matrix. To demostrate the validity and applicability of the method, an error analysis developed based on residual function. Also examples are presented to illustrate the accuracy of the method.

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