High order approximations using spline-based differential quadrature method: Implementation to the multi-dimensional PDEs

•Two new algorithms based on DQM have been developed to the solution of BVPs.•Some error bounds have been obtained for the first and second order differentiation.•By defining special end conditions for cubic spline, the optimal convergence obtained.•Well-known problems like 2D and 3D coupled Burgers...

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Veröffentlicht in:	Applied Mathematical Modelling 2017-06, Vol.46, p.63-80
1. Verfasser:	Ghasemi, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Basis functions Cubic B-spline Differential quadrature method Dimensional stability Mathematical analysis Matrix Matrix methods Multi-dimensional time dependent PDEs Multidimensional methods Numerical analysis Ordinary differential equations Partial differential equations Stability analysis Studies
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