A Novel Technique for Fractional Bagley-Torvik Equation

Sakar M. G., Saldır O., AKGÜL A.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.89, sa.3, ss.539-545, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 89 Sayı: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s40010-018-0488-4
  • Dergi Adı: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.539-545
  • Anahtar Kelimeler: Bagley-Torvik equation, Boundary value problem, Reproducing kernel space, REPRODUCING KERNEL-METHOD, DIFFERENTIAL-EQUATIONS, NUMERICAL-SOLUTION
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this research, numerical solution of boundary value problem of fractional Bagley-Torvik equation is given in the reproducing kernel space. The central point of this approach is to set up a new reproducing kernel Hilbert space (RKHS) that satisfies the boundary conditions. Predicated on the properties of the RKHS, a new approach is applied to obtain precise numerical approximation. The results shows that a new approach is very effective and convenient for large interval.