an efficient approximate method for solution of the heat equation using laguerre-gaussians radial functions
نویسندگان
چکیده
in the present paper, a numerical method is considered for solving one-dimensionalheat equation subject to both neumann and dirichlet initial boundaryconditions. this method is a combination of collocation method and radial basis functions (rbfs). the operational matrix of derivative for laguerre-gaussians (lg) radial basis functions is used to reduce the problem to a set of algebraic equations. the resultsof numerical experiments are presented to confirm the validity and applicabilityof the presented scheme.
منابع مشابه
An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions
In the present paper, a numerical method is considered for solving one-dimensional heat equation subject to both Neumann and Dirichlet initial boundary conditions. This method is a combination of collocation method and radial basis functions (RBFs). The operational matrix of derivative for Laguerre-Gaussians (LG) radial basis functions is used to reduce the problem to a set of algebraic equatio...
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عنوان ژورنال:
computational methods for differential equationsجلد ۴، شماره ۴، صفحات ۳۲۳-۳۳۴
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