Title of article
Legendre Wavelets based approximation method for solving advection problems
Author/Authors
Venkatesh, S.G. SASTRA University - School of Humanities and Sciences - Department of Mathematics, India , Ayyaswamy, S.K. SASTRA University - School of Humanities and Sciences - Department of Mathematics, India , Raja Balachandar, S. SASTRA University - School of Humanities and Sciences - Department of Mathematics, India
From page
925
To page
932
Abstract
In this paper, we present the Legendre wavelets based method for the solution of homogeneous and nonhomogeneous advection problems. The properties of Legendre wavelets are used to reduce the problem to the solution of system of algebraic equations. The function approximation has been chosen in such a way so as to calculate the connection coefficients in an easy manner. Also the convergence analysis and error estimation for the proposed function approximation through the truncated series have been discussed and approved with the exact solution. Illustrative examples are discussed to demonstrate the validity and applicability of the technique.
Keywords
Legendre polynomials , Legendre wavelets , Advection problems , Legendre wavelet method , Partial differential equations
Journal title
Ain Shams Engineering Journal
Journal title
Ain Shams Engineering Journal
Record number
2648890
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