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A numerical solution for advection‐diffusion equation using dual reciprocity method
Author(s) -
Shiva Afshin,
Adibi Hojatollah
Publication year - 2013
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21734
Subject(s) - mathematics , reciprocity (cultural anthropology) , partial differential equation , advection , mathematical analysis , dual (grammatical number) , partial derivative , numerical analysis , domain (mathematical analysis) , derivative (finance) , psychology , social psychology , art , economics , physics , literature , thermodynamics , financial economics
Abstract This article describes a numerical method based on the boundary integral equation and dual reciprocity method(DRM) for solving the one‐dimensional advection‐diffusion equations. The concept of DRM is used to convert the domain integral to the boundary that leads to an integration free method. The time derivative is approximated by the time‐stepping method. Numerical results are presented for some problems to demonstrate the usefulness and accuracy of the new approach. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013