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- W1979226716 abstract "The present paper is devoted to the numerical solution of the Cahn–Hilliard (CH) equation in one, two and three-dimensions. We will apply two different meshless methods based on radial basis functions (RBFs). The first method is globally radial basis functions (GRBFs) and the second method is based on radial basis functions differential quadrature (RBFs-DQ) idea. In RBFs-DQ, the derivative value of function with respect to a point is directly approximated by a linear combination of all functional values in the global domain. The main aim of this method is the determination of weight coefficients. GRBFs replace the function approximation into the partial differential equation directly. Also, the coefficients matrix which arises from GRBFs is very ill-conditioned. The use of RBFs-DQ leads to the improvement of the ill-conditioning of interpolation matrix RBFs. The boundary conditions of the mentioned problem are Neumann. Thus, we use DQ method directly on the boundary conditions, which easily implements RBFs-DQ on the irregular points and regions. Here, we concentrate on Multiquadrics (MQ) as a radial function for approximating the solution of the mentioned equation. As we know this radial function depends on a constant parameter called shape parameter. The RBFs-DQ can be implemented in a parallel environment to reduce the computational time. Moreover, to obtain the error of two techniques with respect to the spatial domain, a predictor–corrector scheme will be applied. Finally, the numerical results show that the proposed methods are appropriate to solve the one, two and three-dimensional Cahn-Hilliard (CH) equations." @default.
- W1979226716 created "2016-06-24" @default.
- W1979226716 creator A5044309986 @default.
- W1979226716 creator A5090517671 @default.
- W1979226716 date "2015-02-01" @default.
- W1979226716 modified "2023-09-23" @default.
- W1979226716 title "The numerical solution of Cahn–Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods" @default.
- W1979226716 cites W1483804921 @default.
- W1979226716 cites W1486164486 @default.
- W1979226716 cites W1512153219 @default.
- W1979226716 cites W1968228366 @default.
- W1979226716 cites W1969551027 @default.
- W1979226716 cites W1970137586 @default.
- W1979226716 cites W1972571650 @default.
- W1979226716 cites W1973655421 @default.
- W1979226716 cites W1973728860 @default.
- W1979226716 cites W1976571953 @default.
- W1979226716 cites W1977254764 @default.
- W1979226716 cites W1977988816 @default.
- W1979226716 cites W1981632256 @default.
- W1979226716 cites W1982086418 @default.
- W1979226716 cites W1983445511 @default.
- W1979226716 cites W1984269950 @default.
- W1979226716 cites W1984966193 @default.
- W1979226716 cites W1985079835 @default.
- W1979226716 cites W1989512090 @default.
- W1979226716 cites W1990518285 @default.
- W1979226716 cites W1991825492 @default.
- W1979226716 cites W1994695057 @default.
- W1979226716 cites W1996516184 @default.
- W1979226716 cites W2000688893 @default.
- W1979226716 cites W2001145171 @default.
- W1979226716 cites W2001442636 @default.
- W1979226716 cites W2001776082 @default.
- W1979226716 cites W2002342593 @default.
- W1979226716 cites W2003173073 @default.
- W1979226716 cites W2010470998 @default.
- W1979226716 cites W2013999490 @default.
- W1979226716 cites W2017653680 @default.
- W1979226716 cites W2018412104 @default.
- W1979226716 cites W2019359827 @default.
- W1979226716 cites W2019746265 @default.
- W1979226716 cites W2020804487 @default.
- W1979226716 cites W2025944355 @default.
- W1979226716 cites W2026938907 @default.
- W1979226716 cites W2029094742 @default.
- W1979226716 cites W2030041126 @default.
- W1979226716 cites W2030662238 @default.
- W1979226716 cites W2032257836 @default.
- W1979226716 cites W2032698779 @default.
- W1979226716 cites W2037077601 @default.
- W1979226716 cites W2038632102 @default.
- W1979226716 cites W2039141001 @default.
- W1979226716 cites W2041383077 @default.
- W1979226716 cites W2043017073 @default.
- W1979226716 cites W2044562696 @default.
- W1979226716 cites W2045434770 @default.
- W1979226716 cites W2045812925 @default.
- W1979226716 cites W2046528357 @default.
- W1979226716 cites W2047877145 @default.
- W1979226716 cites W2049591648 @default.
- W1979226716 cites W2052346193 @default.
- W1979226716 cites W2056107846 @default.
- W1979226716 cites W2057265674 @default.
- W1979226716 cites W2057366524 @default.
- W1979226716 cites W2058692003 @default.
- W1979226716 cites W2063201396 @default.
- W1979226716 cites W2064468013 @default.
- W1979226716 cites W2064540445 @default.
- W1979226716 cites W2064807134 @default.
- W1979226716 cites W2069346338 @default.
- W1979226716 cites W2073373645 @default.
- W1979226716 cites W2077028260 @default.
- W1979226716 cites W2083629653 @default.
- W1979226716 cites W2092300772 @default.
- W1979226716 cites W2093877498 @default.
- W1979226716 cites W2095059673 @default.
- W1979226716 cites W2095195575 @default.
- W1979226716 cites W2095769364 @default.
- W1979226716 cites W2097973750 @default.
- W1979226716 cites W2111564493 @default.
- W1979226716 cites W2121413806 @default.
- W1979226716 cites W2128112839 @default.
- W1979226716 cites W2128204029 @default.
- W1979226716 cites W2128353013 @default.
- W1979226716 cites W2132686928 @default.
- W1979226716 cites W2149850785 @default.
- W1979226716 cites W2150853148 @default.
- W1979226716 cites W2152727585 @default.
- W1979226716 cites W2153809669 @default.
- W1979226716 cites W2171628686 @default.
- W1979226716 cites W2218532374 @default.
- W1979226716 cites W2569713119 @default.
- W1979226716 doi "https://doi.org/10.1016/j.enganabound.2014.10.008" @default.
- W1979226716 hasPublicationYear "2015" @default.
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