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

Yigit, Gulsemay; Bayram, Mustafa

doi:10.1007/s40010-019-00605-8

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

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.90, sa.3, ss.429-436, 2020 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 90 Sayı: 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
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
Sayfa Sayıları: ss.429-436
Yıldız Teknik Üniversitesi Adresli: Evet

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.