Solutions of nonlinear systems by reproducing kernel method

AKGÜL A., Khan Y., Akgul E. K., BALEANU D., Al Qurashi M. M.

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, cilt.10, sa.8, ss.4408-4417, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 8
  • Basım Tarihi: 2017
  • Doi Numarası: 10.22436/jnsa.010.08.33
  • Dergi Adı: JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), zbMATH
  • Sayfa Sayıları: ss.4408-4417
  • Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet

Özet

A novel approximate solution is obtained for viscoelastic fluid model by reproducing kernel method (RKM). The resulting equation for viscoelastic fluid with magneto-hydrodynamic flow is transformed to the nonlinear system by introducing the dimensionless variables. Results are presented graphically to study the efficiency and accuracy of the reproducing kernel method. Results show that this method namely RKM is an efficient method for solving nonlinear system in any engineering field. (C) 2017 All rights reserved.