CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR BRATU'S PROBLEM

Document Type : Regular Paper

Authors

Faculty of Mathematical Sciences, University of Shahrood, Shahrood, Iran

Abstract

In this paper, the Chebyshev pseudo-spectral (CPS) method is proposed for solving a class of boundary value problems. Especially, we apply the CPS method for the Bratu's problem and obtain an approximate solution for this problem. The obtained solution can approximate the exact solution very accurately. By providing some theorems, we survey the feasibility and
convergence of approximate solutions. The approximate results are compared with many other available methods. By calculating absolute errors, we show efficiency of the method with respect to the other methods.

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Main Subjects

Iranian Journal of Science

Articles in Press, Accepted Manuscript
Available Online from 26 December 2015

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