Numerical solution for high-order linear complex differential equations with variable coefficients

Dusunceli F., ÇELİK E.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.34, sa.5, ss.1645-1658, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1002/num.22222
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1645-1658
  • Anahtar Kelimeler: collocation method, Legendre polynomials, linear complex differential equations with variable coefficients, numerical solution, COLLOCATION METHOD, DOMAINS, MATRIX
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we have obtained the numerical solutions of complex differential equations with variable coefficients by using the Legendre Polynomials and we have performed it on two test problems. Then, we applied with different technical of error analysis to the test problems. When we compared exact solutions and numerical solutions of tables and graphs, we realized that our method is reliable, practical and functional.