A New Differential Quadrature Method Based on Bernstein Polynomials (Paperback)

We propose a new technique of the differential quadrature method to find numerical solutions of the different transport (convection-diffusion) equations with appropriate initial and boundary conditions. The present method is based on the Bernstein polynomials formula, which is used to construct the weighting coefficients matrices of differential quadrature method, the new methodology is called Bernstein differential quadrature method (BDQM). Also, we improved alternating direction implicit formulation of differential quadrature method (ADI-DQM), based on Bernstein differential quadrature method (ADI-BDQM) for solving transport (convection-diffusion) equations. The results show that the differential quadrature technique renewed can be used as a powerful, reliable, accurate and efficient numerical tool in solving the transport problems. Finally, the many appearance of nonlinear differential equations as transport model in some fields of applied mathematics makes it necessary to investigate methods of solution for such equations (numerical) and we hope that this work is a step in this direction. We sincerely hope this methods can be applied to a wider range of problems.

General

Imprint:	Lap Lambert Academic Publishing
Country of origin:	United States
Release date:	March 2014
First published:	March 2014
Authors:	Firas Amer Al-Saadawi • Abdul-Sattar Jaber Ali
Dimensions:	229 x 152 x 6mm (L x W x T)
Format:	Paperback - Trade
Pages:	92
ISBN-13:	978-3-659-20265-0
Categories:	Books > Science & Mathematics > Mathematics > General
LSN:	3-659-20265-7
Barcode:	9783659202650

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!