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New implementation of radial basis functions for solving Burgers‐Fisher equation
Author(s) -
Tatari Mehdi,
Sepehrian Behnam,
Alibakhshi Maryam
Publication year - 2012
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.20617
Subject(s) - mathematics , partial differential equation , radial basis function , nonlinear system , collocation method , partial derivative , fisher equation , burgers' equation , basis (linear algebra) , orthogonal collocation , collocation (remote sensing) , first order partial differential equation , mathematical analysis , differential equation , ordinary differential equation , computer science , geometry , physics , real interest rate , quantum mechanics , machine learning , artificial neural network , monetary economics , economics , interest rate
Abstract In this article, we consider the problem of solving Burgers‐Fisher equation. The approximate solution is found using the radial basis functions collocation method. Also for solving of the resulted nonlinear system of equations, we proposed a predictor corrector method based on the fixed point iterations. The numerical tests show that this method is accurate and efficient for finding a closed form approximation of the solution of nonlinear partial differential equations. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 248–262, 2012