a 2-d heat conduction model has been solved by using the adomian decomposition method topredict the transient temperature and heat flux distribution in a thick solid that is irradiated by a laser source.the laser source may operate in a continuous wave (cw) mode or repeated pulse (rp) mode and may havearbitrary, spatial and temporal profiles.a generalized solution containing five-terms approxim...

in recent years, numerous approaches have been applied for finding the solutions of functional equations. one of them is the optimal homotopy asymptotic method. in current paper, this method has been applied for obtaining the approximate solution of fisher equation. the reliability of the method will be shown by solving some examples of various kinds and comparing the obtained outcomes with the ...

finite and boundary element methods have been used by many authors to solve mathematicalphysics problems. however, the coupling of these two methods happens to be more efficient as it combinestheir merits. in this paper, the mathematical analysis of the coupling of finite and boundary element methodsfor the helmholtz equation is presented.

‎semidiscrete finite element approximation of a hyperbolic type‎ ‎integro-differential equation is studied. the model problem is‎ ‎treated as the wave equation which is perturbed with a memory term.‎ ‎stability estimates are obtained for a slightly more general problem.‎ ‎these, based on energy method, are used to prove optimal order‎ ‎a priori error estimates.‎

We describe a Guess-and-Check algorithm for computing algebraic equation invariants of the form ∧ifi(x1, . . . , xn) = 0, where each fi is a polynomial over the variables x1, . . . , xn of the program. The “guess” phase is data driven and derives a candidate invariant from data generated from concrete executions of the program. This candidate invariant is subsequently validated in a “check” pha...

Critiques of the concept of key success factors have raised objections both conceptually and methodologically. From the latter perspective, common research practice is criticized for neglecting the influence of firm-specific, unobservable variables (e.g., management skills). To control for these effects a structural equation approach (“LISREL”) to the analysis of panel data is proposed. In an e...

A simultaneous space-time variational formulation of a parabolic evolution problem is solved with an adaptive wavelet method. This method is shown to converge with the best possible rate in linear complexity. Thanks to the use of tensor product bases, there is no penalty in complexity due to the additional time dimension. Special wavelets are designed such that the bi-infinite system matrix is ...

Theil, Basmann, and Sargan are often credited with the development of the two-stage least squares (TSLS) estimator of the coefficients of one structural equation in a simultaneous equations model. However, Anderson and Rubin had earlier derived the asymptotic distribution of the limited information maximum likelihood (LIML) estimator by finding the asymptotic distribution of what is essentially...

When an econometric structural equation includes two endogenous variables and their coefficients are normalized so that their sum of squares is 1, it is natural to express them as the sine and cosine of an angle. The Limited Information Maximum Likelihood (LIML) estimator of this angle when the error covariance matrix is known has constant variance. Of all estimators with constant variance the ...