Article ID Journal Published Year Pages File Type
4632051 Applied Mathematics and Computation 2010 13 Pages PDF
Abstract

This paper deals with the diffusion transport equation in one dimensional space. The B-spline Galerkin approximation method together with the Fourier transform and Gauss–Hermite quadrature are proposed to compute approximate solution. We give some theoretical results such as existence and uniqueness of the solution and an upper error bound estimates. We also give some numerical examples to illustrate the effectiveness of a such method.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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