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

  • Gülsemay YiğitEmail author
  • Mustafa Bayram
Research Article


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.


Singular perturbation The differential quadrature Chebyshev polynomials 



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Copyright information

© The National Academy of Sciences, India 2019

Authors and Affiliations

  1. 1.Department of Basic Sciences, School of Engineering and Natural SciencesAltınbaş UniversityIstanbulTurkey
  2. 2.Graduate School of Science and EngineeringYıldız Technical UniversityIstanbulTurkey
  3. 3.Faculty of Engineering and Natural SciencesBiruni UniversityIstanbulTurkey

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