A super accurate shifted Tau method for numerical computation of the Sobolev-type differential equation with nonlocal boundary conditions

In this article, we propose a super accurate numerical scheme to solve the one-dimensional Sobolev type partial differential equation with an initial and two nonlocal integral boundary conditions. Our proposed methods are based on the shifted Standard and shifted Chebyshev Tau method. Firstly, We co...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 236; pp. 683 - 692
Main Authors:	Soltanalizadeh, B., Ghehsareh, H. Roohani, Abbasbandy, S.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.06.2014
Subjects:	Boundary conditions Chebyshev approximation Computation Differential equations Hyperbolic equation Mathematical models Nonlocal boundary condition Partial differential equations Polynomials Shifted Chebyshev base Shifted Standard base Sobolev-type equation Tau method Shifted Chebyshev base Nonlocal boundary condition Sobolev-type equation Shifted Standard base Tau method Hyperbolic equation
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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