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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.15 No.1

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NUMERICAL RESULTS ON ALTERNATING DIRECTIONSHOOTING METHOD FOR NONLINEAR PARTIALDIFFERENTIAL EQUATIONS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2008, v.15 no.1, pp.57-72
Kim, Do-Hyun
Kim,, D. (2008). NUMERICAL RESULTS ON ALTERNATING DIRECTIONSHOOTING METHOD FOR NONLINEAR PARTIALDIFFERENTIAL EQUATIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 15(1), 57-72.

Abstract

This paper is concerned with the numerical solutions to steady state nonlinear elliptical partial differential equations (PDE) of the form <TEX>$u_{xx}+u_{yy}+Du_{x}+Eu_{y}+Fu=G$</TEX>, where D, E, F are functions of x, y, u, <TEX>$u_{x}$</TEX>, and <TEX>$u_{y}$</TEX>, and G is a function of x and y. Dirichlet boundary conditions in a rectangular region are considered. We propose alternating direction shooting method for solving such nonlinear PDE. Numerical results show that the alternating direction shooting method performed better than the commonly used linearized iterative method.

keywords
ADS method, NPDE

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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