An Efficient Numerical Method for a Class of Boundary Value Problems, Based on Shifted Jacobi-Gauss Collocation Scheme

Authors

  • M. Maleki Miyane Department of Mathematics, Imam Khomeini International University, Ghazvin, Iran
  • S. Abbasbandy Department of Mathematics, Imam Khomeini International University, Ghazvin, Iran
Abstract:

We present a numerical method for a class of boundary value problems on the unit interval which feature a type of exponential and product nonlinearities. Also, we consider singular case. We construct a kind of spectral collocation method based on shifted Jacobi polynomials to implement this method. A number of specific numerical examples demonstrate the accuracy and the efficiency of the proposed method.

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Journal title

volume 11  issue 1

pages  35- 42

publication date 2019-01-01

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