Engineering Physics and MathematicsApplication of Chebyshev collocation method for solving two classes of non-classical parabolic PDEs
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Keywords
Parabolic problems
Non-classical boundary conditions
Chebyshev series
Collocation points
Chebyshev operational matrix of derivative
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Emran Tohidi is currently a Ph.D. degree student at Ferdowsi University of Mashhad, Mashhad, Iran. He received the B.S. and the M.S. degrees in 2009 and 2011, respectively, in applied mathematics from the same university. The subject of his M.S. degree thesis was ”Numerical solution of optimal control problems via Legendre and Chebyshev polynomials.” Up to now, he has at least 34 published papers surrounding the subject of optimal control problems and numerical solutions of ODEs and PDEs specially working by spectral methods.
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