Trial solution methods to solve unsteady PDE

摘要: Abstract Trial solution methods combined with Laplace transformation technique are used to present an anlytic approximate for the transient diffusion partial differential equations. The trial in this work involve application of different optimizing criteria which collocation, subdomain, least square and Galerkin methods. Solution procedures carried out after transforming equation from time Laplacian domain. transformed dependent variable is expanded terms polynomials functions space undetermined coefficients. Applying yields a system simultaneous algebraic equations solved symbolically using commercial computerized symbolic code. domain then obtained by inverting equation.