A Matrix Approach to Solving Hyperbolic Partial Differential Equations Using Bernoulli Polynomials

Bicer K., Yalcinbas S.

FILOMAT, cilt.30, sa.4, ss.993-1000, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1604993e
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.993-1000
  • Anahtar Kelimeler: Second-order hyperbolic equations, Bernoulli and Euler numbers and polynomials, Matrix methods
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.