an efficient approximate method for solution of the heat equation using laguerre-gaussians radial functions
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abstract
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.
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Journal title:
computational methods for differential equationsجلد ۴، شماره ۴، صفحات ۳۲۳-۳۳۴
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