Open AccessLegendre Wavelets based approximation method for solving advection problems
Author(s) -
S. Venkatesh,
S. K. Ayyaswamy,
S. Raja Balachandar
Publication year - 2013
Publication title -
ain shams engineering journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.505
H-Index - 46
eISSN - 2090-4495
pISSN - 2090-4479
DOI - 10.1016/j.asej.2013.02.008
Subject(s) - legendre wavelet , legendre polynomials , wavelet , mathematics , algebraic equation , convergence (economics) , padé approximant , associated legendre polynomials , advection , algebraic number , function (biology) , mathematical analysis , series (stratigraphy) , mathematical optimization , computer science , wavelet transform , nonlinear system , discrete wavelet transform , orthogonal polynomials , physics , geology , artificial intelligence , economic growth , biology , quantum mechanics , evolutionary biology , thermodynamics , economics , gegenbauer polynomials , classical orthogonal polynomials , paleontology
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
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom