Global ETD Search

81	HIGH-SPEED MONTE CARLO TECHNIQUE FOR HYBRID-COMPUTER SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS Handler, Howard January 1967 (has links) No description available. Monte Carlo method. Differential equations, Partial.
82	Linear, linearisable and integrable nonlinear PDEs Dimakos, Michail January 2013 (has links) No description available. 500
83	A Monte Carlo technique using a fast repetitive analog computer for determining lowest eigenvalues of partial differential equations for various boundaries with applications D'Aquanni, Richard Thomas, 1943- January 1970 (has links) No description available. Differential equations, Partial. Distribution (Probability theory) Eigenvalues.
84	Viscosity solutions of second order equations in a separable Hilbert space and applications to stochastic optimal control Kelome, Djivèdé Armel 05 1900 (has links) No description available. Differential equations, Partial Mathematical optimization Control theory
85	Group analysis of the nonlinear dynamic equations of elastic strings Peters, James Edward, II 08 1900 (has links) No description available. Differential equations, Nonlinear Differential equations, Partial
86	Finite difference techniques and rotor blade aeroelastic partial differential equations with quasisteady aerodynamics Yillikci, Yildirim Kemal 12 1900 (has links) No description available. Differential equations, Partial Rotors (Helicopters) Aerodynamics
87	A new finite difference solution to the Fokker-Planck equation with applications to phase-locked loops O'Dowd, William Mulherin 12 1900 (has links) No description available. Algorithms Differential equations, Partial Electronic circuits
88	New methods for the computation of optical flow Curry, Cecilia W. 08 1900 (has links) No description available. Magnetic resonance imaging Differential equations, Partial
89	An application of modern analytical solution techniques to nonlinear partial differential equations. Augustine, Jashan M. 20 May 2014 (has links) Many physics and engineering problems are modeled by differential equations. In many instances these equations are nonlinear and exact solutions are difficult to obtain. Numerical schemes are often used to find approximate solutions. However, numerical solutions do not describe the qualitative behaviour of mechanical systems and are insufficient in determining the general properties of certain systems of equations. The need for analytical methods is self-evident and major developments were seen in the 1990’s. With the aid of faster processing equipment today, we are able to compute analytical solutions to highly nonlinear equations that are more accurate than numerical solutions. In this study we discuss solutions to nonlinear partial differential equations with focus on non-perturbation analytical methods. The non-perturbation methods of choice are the homotopy analysis method (HAM) developed by Shijun Liao and the variational iteration method (VIM) developed by Ji-Huan He. The aim is to compare the solutions obtained by these modern day analytical methods against each other focusing on accuracy, convergence and computational efficiency. The methods were applied to three test problems, namely, the heat equation, Burgers equation and the Bratu equation. The solutions were compared against both the exact results as well as solutions generated using the finite difference method, in some cases. The results obtained show that the HAM successfully produces solutions which are accurate, faster converging and requires less computational resources than the VIM. However, the VIM still provides accurate solutions that are also in good agreement with the closed form solutions of the test problems. The FDM also produced good results which were used as a further comparison to the analytical solutions. The findings of this study is in agreement with those published in the literature. / Thesis (M.Sc.)-University of KwaZulu-Natal, Pietermaritzburg, 2013. Differential equations, Partial. Nonlinear theories. Theses--Chemistry.
90	Systems of partial differential equations and group methods / Chow, Tanya L. M. January 1996 (has links) Thesis (M.Sc. (Hons.))--University of Western Sydney, Macarthur, Faculty of Business and Technology, 1996. / Bibliography: 113-116.

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