HERMITE POLYNOMIAL APPROACH FOR SOLVING SINGULAR PERTURBATED DELAY DIFFERENTIAL EQUATIONS

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YÜZBAŞI Ş., Savasaneril N. B.

JOURNAL OF SCIENCE AND ARTS, sa.4, ss.845-854, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2020
  • Doi Numarası: 10.46939/j.sci.arts-20.4-a06
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.845-854
  • Anahtar Kelimeler: Boundary value problems, Singular perturbated delay differential equations, Hermite polynomials, collocation sechme, collocation points, SPLINE COLLOCATION METHOD, NUMERICAL-SIMULATION, SCHEME, ALGORITHM
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this study, a collocation approach based on the Hermite polyomials is applied to solve the singularly perturbated delay differential eqautions by boundary conditions. By means of the matix relations of the Hermite polynomials and the derivatives of them, main problem is reduced to a matrix equation. And then, collocation points are placed in equation of the matrix. Hence, the singular perturbed problem is transformed into an algebraic system of linear equations. This system is solved and thus the coefficients of the assumed approximate solution are determined. Numerical applications are made for various values of N.