Hermite interpolant multiscaling functions for numerical solution of the convection diffusion equations

Elmira Ashpazzadeh, Mehrdad Lakestani

Abstract


A numerical technique based on the Hermite interpolant multiscaling functions is presented for the solution of Convection-diusion equations. The operational matrices of derivative, integration and product are presented for multiscaling functions and are utilized to reduce the solution of linear Convection-diusion equation to the solution of algebraic equations. Because of sparsity of these matrices, this method is computationally very attractive and reduces the CPU time and computer memory. Illustrative examples are included to demonstrate the validity and applicability of the new technique.

Keywords


Hermite interpolant multiscaling functions; Biorthogonal multiscaling functions; Convection-diffusion equation; operational matrix of derivative; Operational matrix of integration; operational matrix of product

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DOI: http://dx.doi.org/10.5269/bspm.v36i2.30447



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