A new computational method based on Laguerre polynomials for solving certain nonlinear partial integro differential equations

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Gürbüz B., Sezer M.

Acta Physica Polonica A, cilt.132, sa.3, ss.561-563, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Özet
  • Cilt numarası: 132 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.12693/aphyspola.132.561
  • Dergi Adı: Acta Physica Polonica A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.561-563
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this study, we consider some nonlinear partial integro-differential equations. Most of these equations are used as mathematical models in many problems of physics, biology, chemistry, engineering, and in other areas. Our main purpose is to propose a new numerical method based on the Laguerre and Taylor polynomials, called matrix collocation method, for the numerical solution of the mentioned nonlinear equations under the initial or boundary conditions. To show the effectiveness of this approach, some examples along with error estimations are illustrated by tables and figures.