Chebyshev Differential Quadrature for Numerical Solutions of Third- and Fourth-Order Singular Perturbation Problems


Yigit G., Bayram M.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.90, ss.429-436, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 90 Konu: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40010-019-00605-8
  • Dergi Adı: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
  • Sayfa Sayıları: ss.429-436

Özet

In this paper, linear and nonlinear singularly perturbed problems are studied by a numerical approach based on polynomial differential quadrature. The weighting coefficient matrix is acquired using Chebyshev polynomials. Different classes of perturbation problems are considered as test problems to show the accuracy of method. Then, the quadrature results are compared with analytical solutions of well-known existing solutions.