Trial solution methods to solve the hyperbolic heat conduction equation
作者： S. Kiwan , M. Al-Nimr , M. Al-Sharo'a
DOI: 10.1016/S0735-1933(00)00167-6
关键词: Applied mathematics 、 Method of mean weighted residuals 、 Mathematics 、 Weak solution 、 Method of undetermined coefficients 、 Algebraic equation 、 Heat equation 、 Hyperbolic partial differential equation 、 Collocation method 、 Laplace transform
摘要: Abstract Trial solution methods combined with Laplace transformation technique are used to present an analytic approximate for the hyperbolic heat conduction (HHC) equation. The trial in this work weighted residual and Ritz variational method. involves application of different optimizing criteria, which collocation, subdomain, least square Galrekin methods. procedures carried out after transforming HHC equation from time domain into domain. transformed is expanded form a shape function. function space undetermined coefficients. In work, two functions used: polynomial hyperbolic. Applying yields system algebraic equations that solved symbolically using commercial computerized symbolic code. Finally, obtained by inverting It found up fourth order not able, capture sharp gradient vicinity wave. Whereas, mimic exact all
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